Original Documents (844)

Original Titles

English Titles

1	Construction of isochronous curves in a resistant medium
2	Physical dissertation on sound
3	On a method for algebraic reciprocal trajectories
4	Thoughts on a nautical problem, proposed by the illustrious Royal Academy of Sciences in Paris
5	Solution to the problem of reciprocal trajectories
6	Dissertation on a number of new types of tautochrone curves
7	Attempt at explanation of the phenomena of air
8	Solution to the problem of finding curves which is formed by an elastic strip when a force is applied to a single point
9	On the shortest line joining two points on a surface
10	A new method of reducing innumerable differential equations of the second degree to differential equations of the first degree
11	Solution of certain differential equations which do not admit separation of variables
12	On the innumerable tautochrone curves in a vacuum
13	Tautochrone curves in a fluid making a second resistance proportional to the square of the speed
14	Solution to problems of astronomy: given the altitudes and time differences for three fixed stars, to find the elevation of the pole and the declination of the star
15	Mechanics, volume 1
16	Mechanics, volume 2
17	The Art of Reckoning
18	On the Indian solar year
19	On transcendental progressions, that is, those whose general terms cannot be given algebraically
20	The summation of an innumerable progression
21	For some given curve, it is required to find another curve joined in a certain way with that given, which is suitable for producing a tautochrone curve
22	On the communication of motion in collisions
23	On rectifiable algebraic curves
24	Solution of a remarkable case concerning tautochronism
25	A general method for summing series
26	Observations on a theory of Fermat and others on looking at prime numbers
27	On isoperimetric problems in the widest sense
28	Example of the construction of equations
29	On the solution of a problem of Diophantus
30	Inferences on the forms of roots of equations and of their orders
31	Solution to differential equations of the form axn dx = dy + y2 dx
33	An attempt at a new theory of music, exposed in all clearness, according to the most well-founded principles of harmony
34	Dissertation on fire
36	Solution of problems of arithmetic of finding numbers which, when divided by given numbers, leave given remainders
37	On the motion of planets and orbits
38	Determination of orbits around the sun
39	Solution to a problem concerning astronomy
40	On the smallest oscillations of rigid and flexible bodies. A new and easy method.
41	On the sums of series of reciprocals
42	On the curve of fastest descent in whatever resistent medium
43	On harmonic progressions
44	On infinite(ly many) curves of the same type, that is, a method of finding equations for infinite(ly many) curves of the same type
45	Addendum to the dissertation on infinite(ly many) curves of the same type
46	Universal methods of series
47	Finding the sum of any series from a given general term
48	Investigation of pairs of curves whose arcs that correspond to the same abscissa constitute an algebraic sum
49	On the oscillations of a flexible wire weighted with arbitrarily many little weights (?)
50	A method for computing the equation of a meridian
51	On the construction of equations using dragged motion, and of other things pertinent to the inverse method of tangents
52	Solution of a problem requiring the rectification of an ellipse
53	The solution of a problem relating to the geometry of position
54	A proof of certain theorems regarding prime numbers
55	Universal method for summation of series, further developed
56	New and easy method of finding curves enjoying a maximal or minimal property
57	A physical inquiry into the cause of the ebb and flow of the sea
58	Determination of the motion of a comet which can be observed in March of this year, 1742
59	Theorems concerning the reduction of integral formulas to the quadrature of the circle
60	On the resolution of an integral, if after integration the value for the determined variable quantity is assigned
61	On sums of series of reciprocals from powers of natural numbers from another discussion, in which the sums are derived principally from another source
62	On the integration of differential equations of various degrees
63	Demonstration of the sum of the series 1 + 1/4 + 1/9 + 1/16 …
64	Leonhardus Eulerus mathematicus acutissimus ad auctorem
65	A method for finding curved lines enjoying properties of maximum or minimum, or solution of isoperimetric problems in the broadest accepted sense
66	Theory of the motions of planets and comets
69	On the imparting of motion from a collision of bodies not striking each other directly
70	On the construction of equations
71	A dissertation on continued fractions
72	Various observations about infinite series
73	The solution to a geometric problem about circles shaped as moons
74	On various methods for expressing the quadrature of a circle with verging numbers
75	Solution of a problem proposed in the Nova Acta Eruditorum in November, 1743
76	New and correct tables for computing the location of the moon
77	New Principles of Gunnery
78	Essay on a better construction of a capstan
79	A problem of geometry proposed publicly by an anonymous geometer
80	Opuscula varii argumenti
82	Percussion and its true measurement
83	On several properties of the conic sections which intersect with an infinity of other curved lines
84	Observation by Leonhard Euler on sections 83 and following of the preceding book, concerning elastic curves
85	Solution to a catoptric problem proposed in this journal in September 1745 on page 523
86	On the movement of bodies on movable surfaces
87	Astronomical table of the sun and the moon
88	A new theory of light and colors
89	On the running down of the motion of the planets
90	Analysis of the question whether the faculty of thinking can be attributed to matter or not
91	Physical investigations on the nature of the smallest parts of matter
93	An inquiry into balances
94	On the movement of a boat with oars propelled through running waters
95	On differential equations which admit integration only in certain cases
96	On the most profitable application of simple as well as composite machines
97	On the attraction of spherico-elliptical bodies
98	The proofs of some arithmetic theorems
99	The solution to a certain problem proposed by the celebrated Daniel Bernoulli
100	On Amicable Numbers
101	Introduction to the Analysis of the Infinite, volume 1
103	Physical Investigations on the tail of comets, the northern lights, and the zodiacal light
104	Memoir on the effect of the successive propagation of light in the appearance of the planets as well as the comets
105	Memoir on the Grand Equation of the Planets
106	Solution to the catoptric problem in Novis Actis Eruditorum Lipsiensibus proposed in November 1745
107	Extract of a letter from Mr. Leonhard Euler, Prof. Mathem. and Member of the Imperial Society at Petersburgh, to the Rev. Mr. Cha. Wetstein, Chaplain and Secretary to His Royal Highness the Prince of Wales, concerning the Discoveries of the Russians on the North-East Coast of Asia.
108	A dissertation on an observed tendency of magents
109	Dissertation on Magnets
110	Naval Science, volume 1
111	Naval Science, volume 2
112	Studies on the movement of celestial bodies in general
113	Method for finding the true moments of both the new and the full moon
114	Method of finding the true geocenter of the moon by the obsertvation of the occulation of a fixed star
115	Method of determining the longitude of the observation site by observation of the occulations of fixed stars by the moon
116	Memoir on the force of oars
117	Reflections on the last eclipse of the sun from July 25, 1748
118	On the perfection of objective lenses of telescopes
119	On vibrations of excited chords
120	Investigations on the question of the differences of the movement of Saturn and Jupiter
121	Physical conjectures on the propogation of sound and light with other dissertations: on amicable numbers, on natural equations, and on the rectification of ellipses
122	On products created from infinite factors
123	Observations on continued fractions
124	On the determination of the gradient of heat and cold at each point and time of a region
125	Consideration of a progression suitable for finding the quadrature of a circle
126	On a new type of oscillation
127	An explanation of the phenomena which proceed in turn from the movement of light
128	An easy method for computing the natural and artificial sines and tangents of angles
129	Investigation of curves which produce evolutes similar to themselves
130	Considerations on certain series
131	An emmendation to astronomical tables of locating the geocenters of planets
132	Method of the celebrated Leonhard Euler for determining a degree of the meridian, as well as of a parallel of the earth, based on the measurement undertaken by the celebrated de Maupertuis and his colleagues
133	On the surface of scalene cones and of other conic bodies
134	Theorems on divisors of numbers
135	Various geometric demonstrations
136	On the propagation of pulses in an elastic medium
137	Examination of a design for propelling a ship by an internal principle of motion
138	On the motion of the lunar nodes, and on the variation of their inclination to the ecliptic
139	To what degree the motion of the earth is perturbed by the moon, more accurately investigated
140	On the vibration of strings
141	On the agreement of the latest eclipses of the sun and moon with my tables, to find the true times of full and new moons
142	On the atmosphere of the moon as proved by the last ringed eclipse of the sun
143	On the friction of solid bodies
144	On the reduction of the resistance of friction
145	Research into the largest and the smallest which are found in the action of forces
146	Reflection on some general laws of nature which are observed in the effects of random forces
147	On the apparent contradiction in the rule of curved lines
148	Proof concerning the number on points where two lines of ordinary order can intersect
149	Reflections on space and time
150	Meditations on the question of determining the moment of time by observations
151	A physical conjecture on the propagation of sound and light
152	On amicable numbers
153	A double demonstration of a theorem of Newton, which gives a relation between the coefficient of an algebraic equation and the sums of the powers of its roots
154	Observations on the rectification of ellipses
155	Excerpt from a letter of Herr Euler about the concept of asterisms on the celestial sphere
156	Opusculorum tomus III. continens novam theoriam magnetis ab illustr. academia regia scient: Parisina praemio condecoratam a. 1744.
157	On the extraction of roots from irrational quantities
158	Various analytical observations about combinations
159	On the oscillating motion of flexible bodies
160	On the descent of bodies over an unevenly inclined plane
161	On the movement of bodies over an uneven horizontal plane
162	A method for integrating rational differential forms involving one variable
163	An easier and more expedient method for integrating rational differential forms
164	Theorems about the divisors of numbers contained in the form paa ± qbb
165	On the motion of fluids arising from different degrees of heat
166	On the reduction of curved lines to the arcs of circles
167	On the solution of a most difficult problem proposed by Fermat
168	On the controversy between Messrs Leibniz and Bernoulli concerning the logarithms of negative and imaginary numbers
169	On the cuspidal points of the second kind of Monsieur le Marquis de l'Hopital
170	Research on imaginary roots of equations
171	Research on the precession of the equinoxes and on the nutation of the earth's axis
172	On the parallax of the moon, with respect to its elevation and azimuth, under the hypothesis of a spherical earth
173	New method of finding reciprocal algebraic trajectories
174	On the motion of flexible bodies
175	Discovery of an extraordinary law of numbers in relation to the sum of their divisors
176	Exposé concerning the letter from Leibnitz to Koenig in the March, 1751 issue of the Acts of Leipzig on the occasion of his publication of the Principle of Least Action
177	Discovery of a new principle in Mechanics
178	Reflections of the different degrees of sunlight on other celestial bodies
179	Research concerning the effects of a hydraulic machine proposed by M. Segner, professor at Gottingen
180	Notice on the subject of Research on the precession of the equinoxes
181	Research on the origin of forces
182	Letter of Mr. Euler to M. Merian
183	Part of a Letter from Leonard Euler, Prof. Math. at Berlin, and F.R.S. To the Rev. Mr. Caspar Wetstein, Chaplain to his Royal Highness the Prince of Wales, concerning the gradual Approach of the Earth to the Sun
184	Part of a Letter from Mr. Professor Euler to the Reverend Mr. Wetstein, Chaplain to his Royal Highness the Prince, concerning the Contraction of the Orbits of the Planets
186	Essay on the principle of least action, with an examination of the objections of M. Professor Koenig made against this principle
187	Theory of the motion of the moon which exhibits all its irregularities
188	Method of integrating differential equations of higher degrees, further developed
189	On the determination of series, or a new method for finding the general terms of series
190	Consideration of certain series which are gifted with particular properties
191	On the partitions of numbers
192	Solution of a problem of geometry
193	On the perturbation of the movement of planets from a figure not arising from a sphere
194	On machines in general
195	On the tautochrone motion of pendulums
196	Improvement of the magic lantern and solar microscope
197	Harmony existing between the general principles of rest and movement by M. de Maupertuis
198	On the principle of least action
199	Examination of the dissertation of Professor Koenig inserted into the Acts of Leipzig for the month of March 1751
200	Essay concerning a metaphysical demonstration on the general principle of equilibrium
201	Calculation of the probability in the game of Rencontre
202	On the application of the hydraulic machine of Mr. Segner to all sorts of situations and its advantages over the other hydraulic machines which one typically uses
203	Research on a new method to raise water proposed by M. Mour
204	Extract of a Letter from Professor Euler, of Berlin, to the Rev. Mr. Caspar Wetstein, Chaplain to Her Royal Highness the Princess Dowager of Wales
205	Geographic Atlas - Preface
206	On the motion of water in conduits
207	In depth explanation concerning different methods in which to raise water through pumps with the greatest effectiveness
208	Maxims for the most advantageous arrangement of machines that raise water by use of pumps.
209	Essay concerning the physical explanation of colors which are issued from extremely thin surfaces
210	Letters relating to a Theorem of Mr. Euler, of the Royal Academy of Sciences at Berlin, and F.R.S. for correcting the Aberrations in the Object-Glasses of refracting Telescopes
211	Problema, ad cuius solutionem geometrae invitantur; theorema, ad cuius demonstrationem geometrae invitantur
212	Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 1
213	Remarks on the preceeding memories of M. Bernoulli
214	Principles of spherical trigonometry taken from the method of the maxima and minima
215	Elements of spheroidal trigonometry taken from the method of the maxima and minima
216	Examination of a controversy on the law of refraction of rays of different colors with respect to the different transparent media through which they pass
217	Examination of the true curve that bodies which are airborne or in any other fluid
218	A letter from L. Euler to E. Pontoppidan, dated 11 May 1754
219	Concerning the refraction of light while passing through the atmosphere and the different degrees dependent on heat as to the elaticity of the air
220	Reflections on a problem of geometry dealt with by certain geometers which nevertheless is impossible
221	Research into the physics of the different refrangibilities of light rays
222	A more complete theory of machines which are activated by their reaction to water
223	Concerning the variation of latitude of fixed stars and the obliquity of the ecliptic
224	Notice
225	General principles concerning the state of the equilibrium of fluids
226	General principles concerning the motion of fluids
227	Continuation into the research on the theory of the motion of fluids
228	On numbers which are the sum of two squares
229	On the construction of the best gears
230	Elements of the doctrine of solids
231	Proof of some of the properties of solid bodies enclosed by planes
232	On the movement of celestial bodies perturbed by any number of forces
233	Refined studies into the effect of windmills
234	Experiments to determine the refraction of all types of transparent liquors
235	On the action of saws
236	Explanation of certain paradoxes in integral calculus
237	Research concerning the declination of the magnetized needle
238	Concerning the strength of columns
239	General rules for the construction of telescopes and microscopes, using some general number of lenses.
240	Research into glasses with three lenses which represent inverted objects
241	Proof of a theorem of Fermat that every prime number of the form 4n+1 is the sum of two squares
242	Proof of a theorem of Fermat that every number whether whole or fraction is the sum of four or fewer squares
243	Observations on the sums of divisors
244	A demonstration of a theorem on the order observed in the sums of divisors
245	On a method analogous to that of Diophantus in the analysis of the infinites
246	A contribution to the calculations of sines
247	On divergent series
248	On the screw of Archimedes
249	On finding the best shape for gear teeth
250	A method for finding infinitely many isoperimetric curves predicated with a common property
251	On the integration of the differential equations (m dx)/√(1-x4) = (n dy)/√(1-y4)
252	Observations on the comparison of arcs of irrectifiable curves
253	On indeterminate problems which appear to be quite determinate
254	On the expression of integrals as factors
255	General solution of certain Diophantine problems, which are ordinarily thought to admit only special solutions
256	Example of the use of observation in pure mathematics
257	On friction of rotating bodies
258	Principles of the motion of fluids
259	On the motion and reaction of water flowing through moving tubes
260	Attempt at a theory of the friction of fluids
261	Example of another new methods for comparing transcendental quantities; on the comparison of the arcs of ellipses
262	Theorems about the remainders left by division by powers
263	An example of a new method for the quadrature and rectification of curves and of comparing other quantities which are transcendentally related to each other
264	Proof of a theorem and solution of a theorem proposed in the Acta Eruditorum of Leipzig
265	On differential equations of the second degree
267	Extract of a letter of M. Euler written to M. Duhamel, 3 February 1756
268	Letter of Mr. Euler to Mr. de Lagrange
269	On the integration of differential equations
270	The solution of a problem about searching for three numbers, of which the sum and not only their product but the sum of their products two apiece, are square numbers
271	Demonstration of a new method in the Theory of Arithmetic
272	A reinforcement of some arithmetic theorems, supported by several demonstrations
273	Consideration of formulas, of which the integral can be obtained by sections of arcs of cones
274	Construction of the differentio-differential equation Ay du2 + (B+Cu)du dy + (D+Eu+Fuu)ddy = 0, assuming the element du to be constant
275	Annotations to a certain passage of Descartes for finding the quadrature of the circle
276	Clarifications into fluid resistance
277	Principal theory of machines
278	On the motion and grinding of lenses while they are polished upon curved plates
279	On the resolution of formulas of squares of indeterminates by integral numbers
280	On progressions of arcs of circles, of which the accompanying tangents proceed by a certain law
281	A specimen of a singular algorithm
282	On the resolution of equations of any order
283	On very large prime numbers
284	On the resolution of the equation dy + ayy dx = bxm dx
285	Investigation of functions from a given condition of differentials
286	On the vibrating motion of a flexible wire, weighted with however many small particles
287	On the vibrating motion of unevenly thick strings
288	Thoughts on constructing ramparts/walls
289	Theory of the motion of solid or rigid bodies
291	Research into the science of mechanical bodies
292	On the movement of rotation of solid bodies around a variable axis
293	General remarks on the daily motion of the planets
294	Remarks by Mr. Euler on several passages which appeared in the third volume of mathematical works by Mr. d'Alembert
295	On the reduction of integral formulas for the rectification of the ellipse and hyperbola
296	The Elements of the Calculus of Variations
297	Explanation of the analytical method in the maxima and minima
298	On the notable advancement of the inverse method of tangents
299	Explanation of the tautochrone in a resistant medium
300	Demonstration of a Bernoullian theorem in which cycloids are ultimately produced from the evolution, continued to infinity, of any right-angled curve
301	De motu corporis ad duo centra virium fixa attracti
302	On the motion of vibrations in drums
303	Tentamen de sono campanarum
304	Considerationes de motu corporum coelestium
305	On the propagartion of sound
306	Supplement to the research on the propagation of sound
307	Continuation into the propagation of sound
308	Recherches sur le mouvement de rotation des corps celestes
309	Solution of a curious question which does not seem to have been subjected to any analysis
310	New method to eliminate the unknown quantities in equations
311	Research into simple microscopes and the methods to perfect them
312	Research on microscopes with three lenses and the methods by which to make them
313	On the advantage to the banker in the game of Pharaon
314	Conjecture into the reasons why flat tones are generally heard in music
315	Concerning the true character of modern music
316	On three lens glasses which represent upright objects
317	Clarifications on the movement of vibrating strings
318	Research into the motion of unequally thick strings
319	Research into the integration of the equation (ddz/dt2)=aa(ddz/dx2)+(b/x)(dz/dx) + (c/xx)z
320	Research into a new type of construction of six lens glasses and their improvement
321	Observations concerning the integrals of formulas ∫ xp-1dx(1-xn)q/n-1 setting x=1 after integration
322	The use of discontinued functions in analysis
323	Concerning the use of a new algorithm to solve the Pell problem
324	Properties of triangles for which certain angles have a ratio between themselves
325	Easy solutions to some difficult geometric problems
326	Analytical observations
327	On the rectilinear motion of three bodies mutually attracted to each other
328	On the motion of a body attracted to two fixed centers of forces
329	On the appearance of the heavens observed through transparent spherical segments
330	Supplement on the shape of the teeth of wheels [gear teeth]
331	On the motion of fluids arising from different degrees of heat
332	Research concerning the flow of rivers
333	Research into the curvature of surfaces
334	General research on the mortality and the propagation of the human race
335	Concerning annuity incomes
336	On the motion of a rotating solid round a mobile axis
337	Problem: A body is attracted by reason of the reciprocal square of the distance towards two given fixed points, find the case where the described curve by this body will be algebraic, solved by Mr. Euler
338	On the probability of series in the Genoese lottery
339	On the motion of a string which at the start has only been struck only in one area
340	Detailed clarifications concerning the generation and propagation of sound and on the formation of echo
342	Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 2
345	On integrated equations of the type dx/√(A+Bx+Cx2+Dx3+Ex4) = dy/√(A+By+Cy2+Dy3+Ey4)
346	De arcubus curvarum aeque amplis earumque comparatione
347	More general development of formulas serving for the comparison of curves
348	Methodus facilis motus corporum coelestium utcunque perturbatos ad rationem calculi astronomici revocandi
349	Disquisition on the true law of refraction of rays of different colors
350	On a new type of microscope composed of six lenses
351	On a telescope made from four lenses and its perfection
352	Remarks on a beautiful relation between direct as well as reciprocal power series
353	Research into the confusion which exists in dioptic lenses caused by their aperture
354	Research into the methods to diminish or reduce the confusion caused by the opening of the lenses
355	New method to improve the objective lenses for glasses
356	Determination of the apparent field that is discovered by telescopes as well as by microscopes
357	General rules for the construction of telescopes and of microscopes
358	On the perfection of astronomic glasses which represent inverted objects
359	The manufacture of lenses composed of two different types of glass which does not present any confusion
360	The correct way to manufacture composes lenses which will reduce all confusion in the glasses
361	Reflections on the ways in which to examine the refraction of glass by the way of prisms
362	The necessary corrections to the theory of the magnetic declination which was proposed in Volume XIII of the Memoires
363	Notebook concerning a general theory of dioptrics
366	Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 3
367	Optics, part 1
368	On a hyperbolic curve expressed by this equation y = 1*2*3*...*x
369	How very large numbers are to be tested for whether they are prime or not
370	A new criteria for acquiring the imaginary roots of equations
371	Considerations on completing the theory of the motion of the moon and especially of its variation
372	Note of certain precautions to be taken in the investigation of the inequalities by which the heavenly bodies are perturbed in their motion
373	More accurate investigation of the phenomena which can be produced in the diurnal motion of the earth by celestial forces
374	On the equilibrium and motion of bodies connected by flexible curves
375	First section on the state of equilibrium of fluids
376	Considerations on the difficulties that one encounters during the manufacture of objective lenses
377	Research into reflective telescopes and their perfection
378	Research on another construction of reflecting telescopes
379	Concerning the confusion which exists in dioptical instruments due to the diverse refrangibility of light rays
380	Concerning the new English glasses of Mr. Dolland and on the principle on which it is based
381	On the advantages of telescopic glasses built with two lenses
382	Remarks on the effect of friction on equilibrium
383	Methods to apply for improving the degree of perfection in the manufacture of telescopic lenses
384	Research on the inequalities of Jupiter and Saturn
385	Foundations of Integral Calculus, volume 3
386	Optics, part 2
387	Complete instruction in algebra, book 1
388	Complete instruction in algebra, book 2
390	(Considerations of orthogonal trajectories)
391	On double integral formulas
392	Development of a notable paradox concerning the equality of surfaces
393	On the sum of series involving the Bernoulli numbers
394	On the partition of numbers into a number of parts of a given type
395	On finding however many mean proportionals without regard to extraction of roots
398	New method to determine the perturbations during the motion of heavenly bodies caused by their mutual attraction
399	Reflections on the different ways that one can describe the movement of the moon
400	Thoughts on the three body problem
401	A new way to compare the observations of the moon with the theory
402	On the movement of the apsides of the moons of Jupiter
403	Herr Leonhard Euler's necessary computation for the establishment of a widows-fund
404	Optics, part 3
405	A solution of a problem about two numbers which are searched for, of which their product, increased or decreased by their sum or difference, will be a square
406	Observations about the roots of equations
407	An algebraic problem that is notable for some quite extraordinary relations
408	On rectifiable curves on spherical surfaces
409	The third chapter on the linear motion of fluids
410	Natural basic principles of the study of the state of equilibrium, and the motion, of bodies that are both perfectly flexible and elastic
411	On the impact of bullets exploded against a plate
412	Solution to a very difficult question in the calculus of probabilities
413	On the movement of ships without the force of the wind
414	An investigation of the perturbations by which the motions of the planets are---on account of their action upon one another---affected
415	Concerning pitching and rolling
416	Reflections on the question: Does the medial motion of the planets remain at constant speed, or does it, in the course of time, undergo some change? And what might be the cause of this?
419	On solids whose (entire) surface can be unfolded onto a plane
420	A new and easy method for treating the calculus of variations
421	Solution of a formula for the integral ∫ x f-1 dx (log x)m/n the integration being extended from the value x = 0 to x = 1
422	The solution of a certain altogether remarkable geometrical problem
423	Considerations on the measurement of circles
424	Section four of the motion of air in tubes
425	On the perturbation of the motion of the Earth due to an action arising from Venus
426	Complete theory of the construction and steering of ships
427	An investigation of a certain Diophantine problem
428	Observations about two biquadratics, of which the sum is able to be resolved into two other biquadratics
429	On various types of integrals
430	Observations on the differential equation y dy + My dx + N dx = 0
431	Consideration of the differential equation (a+bx)ddz + (c+ex)(dxdz/x) + (f+gx)(zdx2/xx) = 0
432	Analytical exercises
433	An aside on trajectories, both orthogonal and oblique-angled
434	On the collision of spinning bodies
435	On the collision of hanging bodies, both oblique and spinning
436	On the true tautochrone in fluids
437	On the tautochrone in a thin medium, where the resistance is directly proportional to the speed
438	Clarifications regarding the tautochrone
439	A further inquiry into vibrating chords
440	Inquiries into the Bernoulli solution, in Volume XVI of the New Commentaries, regarding the motion of strings composed of two parts of differing density
441	On the vibratory motion of strings composed of an arbitrary number of parts of differing density
442	On the vibratory motion of strings possessed of a density that varies arbitrarily
443	On the vibratory motion of elastic laminates, where many new types of vibrations, not treated heretofore, are solved
444	On the most rapid (descending) motion of weights along curves of a specified type
445	Proof that every integer is the sum of four squares
447	The summation of the progressions sin(φλ) + sin(2φλ) + sin(3φλ) + ... + sin(nφλ); cos(φλ) + cos(2φλ) + cos(3φλ) + ... + cos(nφλ).
448	A new infinite series that expresses the perimeter of an ellipse, and which converges very rapidly
449	Demonstrations about the residues resulting from the division of powers by prime numbers
450	Nova ratio quantitates irrationales proxime exprimendi
451	A solution of the problem of finding a triangle, in which the lines from each angle bisecting the opposite sides are rational
452	The resolution of the equation Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 by rational and integral numbers
453	Eminent properties of series within which the general term is contained as x = (1/2)(a+b/√k)(p+q√k)n + (1/2)(a-b/√k)(p-q√k)n
454	On the resolution of irrationals by continued fractions, where a certain minor new and singular type is set forth
455	A determination, sought from the first principles of mechanics, of the oscillatory motion that was treated in the preceding article
456	On the pressure of a weight on the plane against which it leans
457	De harmoniae veris principiis per speculum musicum repraesentatis
458	A new method of reducing the motions of the principal planets to astronomical tables
459	A disquisition concerning three-fold objective lens, which either create no distortion or which are capable of removing a given distortion arising from the other lens
460	On the application of objective lenses to all types of telescopes
461	Extract of a letter by Mr. Euler to Mr. Bernoulli father concerning the memoire published by them in 1771, p. 318
462	On the value of the integral formula ∫ (zm-1 ± zn-m-1)/(1 ± zn) dz in the case in which after integration it is put z = 1
463	On the value of the integral formula ∫ (zλ-ω ± zλ+ω)/(1 ± z2λ)(dz/z)(lz)μ casu quo post integrationem ponitur z = 1
464	A new method of determining integral qualities
465	A demonstration of a theorem of Newton on the expansion of the powers of a binomial by cases, in which the exponents are not integral numbers
466	A singular Diophantine problem
467	On the table of prime numbers continued up to one million and beyond, in which at once all the non-prime numbers are expressed by their smallest divisors
468	On the minimal oscillations of a pendulum laden with a given weight
469	On the oscillatory movement of two plates suspended from a balance
470	Explicatio motus oscillatorii mirabilis in libra maiore observati
471	De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur
472	Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo
474	A solution of several Diophantine problems
475	Analytical speculations
476	Observations about a new and singular type of progression
477	Meditations about a singular type of series
478	General formulas for the translation of arbitrary rigid bodies
479	A new method for generating the motion of a rigid body
480	Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli
481	De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu
482	De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur …
483	De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli.
484	De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur.
486	Answer to the question proposed by the Paris Academy for 1772
487	Reflections of Mr. L. Euler on new experiments in optics, communicated to the academy of sciences by Mr. Wilson
488	Observations on the foregoing dissertation of Bernoulli
489	On unravelling exponential formulas
490	On the representation of spherical surfaces on a plane
491	On the geographical projections of spherical surfaces
492	On de Lisle's geographic projection and its use
493	Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata
494	On the figure that the wind can induce on a stagnant fluid
495	Considerationes super problemate astronomico in tomo commentarior. veter. IV. pertractato.
496	On the apparent figure of the ring of Saturn, according to the place of it from any perspective on earth
497	On the appearance and disappearance of the rings of Saturn
498	Extract of a letter from Mr. Euler to Mr. Beguelin from May 1778
499	On the integration of the formula ∫ (dx lx)/√(1-xx) from x = 0 to x = 1
500	On the value of the integral formula ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) bounded at x = 0 and extended to x = 1
501	Considerations about brachistochrones
502	On the effects of refraction during terrestrial observations
503	De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit
504	On the Theory of the Moon which is to be carried to a higher level of perfection
505	De corporibus regularibus per doctrinam sphaericam determinatis; ubi simul nova methodus globos sive coelestes sive terrestres charta obducendi traditur
506	(Elucidations about a most elegant method, which the illustrious la Grange used in the integration of the differential equation dx/√X = dy/√Y
507	On the infinity of infinities of orders of the infinitely large and infinitely small
508	The determination of the loads which columns are strong enough to bear
509	An examination of an outstanding paradox occurring in the theory of columns
510	De altitudine columnarum sub proprio pondere corruentium
511	Thoughts concerning the Earth's motional inequalities caused by Venus' action, accompanied with a table of the corrections of Earth's position
512	Investigatio perturbationum quae in motu terrae ab actione Veneris producunter: cum tabula perturbationum istarum
513	On triangular curves
514	On the measure of solid angles
515	De casibus quibusdam maxime memorabilibus in analysi indeterminata, ubi imprimis insignis usus calculi angulorum in analysi Diophantea ostenditur
516	De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum
517	On a certain problem in mechanics, obvious enough, but with a most difficult solution
518	Solutio gemina problematis, quo motus corporis, filo alicubi alligati, super plano horizontali quaeritur
519	New method to determine the motion of planets
520	Essay of the theory of resistance that a prow of a ship experiences throughout its motion
521	Analytical theories. Extracts of different letters of Mr. Euler to Mr. le Marquis de Condorcet
522	On the formation of continuous fractions
523	On three square numbers, of which the sum and the sum of products two apiece will be a square
524	A universal spherical trigonometry, derived briefly and from first principles
525	De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum
526	Investigatio motuum, quibus laminae et virgae elasticae contremiscunt
527	A conjecture about the nature of air, by which are to be explained the phenomenon which have been observed in the atmosphere
528	An annotation to the preceding dissertation
529	A theory of parallaxes, accommodating the spheroid shape of the Earth
530	Investigations on a new type of magic square
531	Brief analytical works, volume 1
532	On the remarkable properties of a series of Lambert and others
533	On the oscillating motion derived from a tense hanging thread
534	Elucidations about several rather difficult cases of equilibrium
535	Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest
536	On the properties of triangles in mechanics
537	On the figure of elastic curves against the objections of the illustrious d'Alembert
538	Necessary cautions in the determination of the motion of planets which are to be observed
539	A supplement to the calculation of integrals for the calculation of irrational formulas
540	A new method for resolving all rational fractions into simpler fractions
541	The expansion of the infinite product (1-x)(1-xx)(1-x3)(1-x4)(1-x5) etc. into a single series
542	On the remarkable properties of the pentagonal numbers
543	Problematis cuiusdam Pappi Alexandrini constructio
544	De motu libero plurium corporum filis colligatorum super plano horizontali
545	De vi fluminis ad naves sursum trahendas applicanda
546	De statu aequilibrii maris a viribus solis et lunae sollicitati.
547	Simple determination of the orbit of a comet, when it is possible to observe its transit across the ecliptic twice
548	De variis motuum generibus, qui in satellitibus planetarum locum habere possunt.
549	De motibus maxime irregularibus, qui in systemate mundano locum habere possent, una cum methodo hujusmodi motus per temporis spatium quantumvis magnum prosequendi.
550	On series in which the product of two consecutive terms make a given progression
551	Various methods for inquiring into the innate characters of series
552	Observations about the division of squares by prime numbers
553	Analytical observations
554	A more exact disquisition about the residues remaining from the division of squares and of higher powers by prime numbers
555	An examination of the use of interpolating methods in the doctrine of series
556	On the criteria of whether equation fxx + gyy = hxx admits a resolution or not
557	De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus
558	Proposita quacunque protressione ab unitate incipiente, quaeritur quot eius terminos a dminimum addi oporteat, ut omnes numeri producantur
559	New assistance for solving the formula axx + 1 = yy
560	Miscellaneous analyses
561	Various observations about angles proceeding in geometric progression
562	On how sines and cosines of multiplied angles may be expressed by products
563	On the smallest ellipse which is to circumsrcibe a given rectilinear parallelogram
564	Speculations about certain outstanding properties of numbers
565	On highly transcendental quantities, which may not be expressed in any way by integral formulas
566	De inductione ad plenam certitudinem evehenda
567	Dilucidationes de motu chordarum inaequaliter crassarum
568	De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione
569	De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Habita frictionis ratione
570	On finding longitude of a place by observing the distance between the moon and a known fixed star
571	De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis.
572	Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum
573	De duplici genesi tam epicycloidum quam hypocycloidum
574	De curvis rectificabilibus in superficie coni recti ducendis
575	De mirabilibus proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrunt
576	De oscillationibus minimis funis libere suspensi
577	De perturbatione motus chordarum ab earum pondere oriunda
578	On the disturbance of motion concerning planets and comets
579	Calculations on aerostatic balloons made by the late Mr. Leonhard Euler, as they were found on his blackboard, after his death on September 7, 1783
580	Brief analytical works, volume 2
581	A more complete investigation into the relationship between those quantities contained in the integral formula ∫ (\Z dz)/√(1+mzz+nz4), where Z denotes a rational function of zz.
582	The fruitful development of a relation which may be established between the arcs of conic sections
583	De numero memorabili in summatione progressionis harmonicae naturalis occurrente
584	De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis
585	De effectu frictionis in motu volutorio
586	Considerations about a theorem of Fermat on the resolution of numbers into polygonal numbers
587	An observation on several theorems of the illustrious de la Grange
588	An investigation of the integral formula ∫ (xm-1 dx)/(1+xk)n in the case in which after integration it is set x = ∞
589	An investigation of the value of the integral ∫ (xm-1 dx)/(1-2xkcosθ+x2k) the term to be extended from x = 0 to x = ∞
590	Certain theorems in analysis, of which a demonstration is thus far desired
591	On the relation between three and more quantities which are to be instituted
592	On the resolution of transcendental fractions into infinitely many simple fractions
593	On the transformation of series into continued fractions, where at once this not mediocre theory is enlarged
594	A method for finding integral formulas, for which in certain cases a given rule holds between them, where at once a method is related for summing continued fractions
595	Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur
596	On the sum of the series of numbers of the form 1/3 - 1/5 + 1/7 + 1/11 - 1/13 ... in which the prime numbers of the form 4n-1 have positive signs, and those of the form 4n+1 have negative signs
597	A new and most easy method for summing series of reciprocals of powers
598	De insigni promotione scientiae numerorum
599	Solution to a question concerning the calculation of probability: How much should be paid by a couple, so that a certain sum of money can be paid to the heir after the death of the other
600	The solution of certain difficult questions in the calculus of probabilities
601	De symptomatibus quatuor punctorum, in eodem plano sitorum
602	Methodus facilis omnia symptomata linearum curvarum non in eodem plano sitarum investigandi
603	De descensu baculi super hypomochlio cylindro fixo delabentis
604	On rectilinear and oblique reciprocal trajectories
605	On the remarkable properties of the elastic curves under the equation y = ∫ (xx dx)/√(1-x4)
606	Speculations concerning the integral formula ∫ (xndx)/√(aa-2bx+cxx), where at once occur exceptional observations about continued fractions
607	De motu globi circa axem obliquum quemcunque gyrantis et super plano horizontali incedentis
608	Accuratior evolutio formularum pro filorum flexibilium aequilibrio et motu inventarum
609	Considerations about rectilinear and oblique trajectories
610	New demonstrations about the divisors of numbers of the form xx + nyy
611	Investigatio curvarum quae similes sint suis evolutis vel primis vel secundis vel tertiis vel adeo ordinis cuiuscunque
612	De motu globi heterogenei super plano horizontali, una cum dilucidationibus necessariis super motu vacillatorio
613	Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus
614	Commentary on tractrix curves
615	De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
616	On the transformation of the divergent series 1 - mx + m(m+n)x2 - m(m+n)(m+2n)x3 + etc. into a continued fraction
617	On the summation of series, in which the signs of the terms alternate
618	Consideratio motus singularis, qui in filo perfecte flexili locum habere potest
619	Enodatio difficultatis super figura terrae a vi centrifuga oriunda.
620	An easy method for finding the integral of the formula ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) in the case in which after integration it is put from x = 1 to x = ∞
621	On the greatest use of the calculus of imaginaries in analysis
622	Specimen singulare analyseos infinitorum indeterminatae
623	De lineis rectificabilibus in superficie sphaeroidica quacunque geometrice ducendis
624	De superficie coni scaleni, ubi imprimis intentes difficultates, quae in hac investigatione occurrunt, perpenduntur
625	De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
626	On the movement of three bodies mutually attracted above a straight line
627	Solutio problematis mechanici
628	Clarifications on the paper by Mr. de La Grange inserted into volume 5 of the Melanges de Turin, concerning the method of taking the mean of the results of various observations
629	The expansion of the integral formula ∫ dx(1/(1-x) + 1/(lx)) with the term extended from x = 0 to x = 1
630	Uberior explicatio methodi singularis nuper expositae integralia alias maxime abscondita investigandi
631	An easy and clear analysis for guiding those most abstruse series, by which not only the roots but even the powers of the roots of all algebraic equations are able to be expressed
632	On innumerable types of most remarkable series, by which not only the roots but even too any power of the roots of all algebraic equations are able to be expressed
633	De binis curvis algebraicis inveniendis, quarum arcus indefinite inter se sint aequales
634	De motu oscillatorio tabulae suspensae et a vento agitatae
635	Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur
636	On the multiplication of angles which are to be obtained by factors
637	A new demonstration, with respect to which prevails the expansion of binomial powers by Newton even by fractional exponents
638	On innumerable algebraic curves, of which the longitude is able to be measured by parabolic arcs
639	On innumerable algebraic curves, of which the longitude is able to be measured by elliptical arcs
640	Comparatio valorum formulae integralis ∫ (xp-1 dx)/(n√((1-xn)n-q)) a termino x = 0 usque ad x = 1 extensae
641	De motu quodam maxime memorabili, satis quidem simplici, at solutu difficillimo
642	On a singular rule for differentiating and integrating, which occurs in the sums of series
643	A general method for investigating all the roots of an equation by approximation
644	Innumerable forms of equations from all orders, of which a resolution is able to be exhibited
645	On algebraic curves, of which the longitudes are expressed by the integral formula ∫ (vm-1 dv)/√(1-v2n)
646	De duabus pluribusve curvis algebraicis in quibus si a terminis fixis aequales arcus abscindantur eorum amplitudines datam inter se teneant rationem
647	De methodo tangentium inversa ad theoriam solidorum translata
648	An easy solution of a problem, in which a circle is searched for, given three circles tangent to it
649	De motu oscillatorio penduli circa axem cylindricum plano horizontali incumbentem
650	De formulis differentialibus quae per duas pluresve quantitates datas multiplicatae fiant integrabiles
651	Four most noteworthy theorems on the calculation of an integral
652	On the general term of hypergeometric series
653	De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur
654	Methodus facilis investigandi radium osculi ex principio maximorum et minimorum petita
655	General observations about series, of which the terms arising for the sines or cosines of multiplied angles come forth
656	On most memorable integrations arising from the calculation of imaginaries
657	A supplement to the preceding dissertation about the integration of the formula ∫ (zm-1 dz)/(1-zn) in the case where z = v(cos(φ) + √(-1) sin(φ))
658	De momentis virium respectu axis cuiuscunque inveniendis; ubi plura insignia symptomata circa binas rectas, non in eodem plano sitas, explicantur
659	Methodus facilis omnium virium momenta respectu axis cuiuscunque determinandi
660	Foundations of Integral Calculus, Volume 4
661	Several considerations about hypergeometric series
662	On the true value of the integral formula ∫ dx(l(1/x))n with the term extended from x = 0 all the way to x = 1
663	Plenior expositio serierum illarum memoragilium, quae ex unciis potestatum binomii formantur
664	Analytical exercises
665	The evolution of a problem whose analytic solution is most difficult, while the synthetic solution for it is obvious
666	Problema geometricum ob singularia symptomata imprimis memorabile
667	De curvis hyperbolicis quae intra suas assymtotas spatium finitum includunt
668	On the integration of the formula (dx √(1+x4))/(1-x4) and of others of the same type by logarithms and circular arcs
669	Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet
670	De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur
671	De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet
672	A memorable theorem about the integral formula ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1
673	A conjectural disquisition about the integral formula ∫ (dφcos(iφ))/(α+βcos(φ))n
674	Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1
675	On the values of integrals where the variable term is extended x = 0 all the way to x = ∞
676	Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi
677	Special methods for resolving differential equations of the second degree
678	A new method for investigating all cases in which the differential equation ddy(1-axx) - bx dx dy - cy dx2 = 0 is permitted to resolve
679	De formulis integralibus implicatis earumque evolutione et transformatione
680	De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
681	Specimen aequationum differentialium indefiniti gradus earumque integrationis
682	On the pressure of a table weighted by a weight on a surface. From the papers of the blessed Leonhard Euler extracted by Jakob Bernoulli.
683	On a singular type of Diophantine questions and a most recondite method by which they are to be resolved
684	On the roots of the infinite equation 0 = 1 - (xx)/(n(n+1)) + (x4)/(n(n+1)(n+2)(n+3)) - (x6)/(n.....(n+5)) + etc.
685	An analytical exercise, where in particular a most general summation of series is given
686	Elucidations about the formula, in which the sines and cosines of angles are to be multiplied, where at once large difficulties are diluted
687	De insignibus proprietatibus formularum integralium praeter binas variabiles etiam earum differentialia cuiuscunque ordinis involventium
688	A most abstruse specimen of integral contained in the formula ∫ dx/((1+x)*4√(2xx-1))
689	Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet
690	The expansion of the integral formula ∫ dz(3+zz)/((1+zz)*4√(1+6zz+z4)) by logarithms and circular arcs
691	Problema geometricum quo inter omnes ellipses quae per data quatuor puncta traduci possunt ea quaeritur quae habet aream minimam
692	Solutio problematis maxime curiosi quo inter omnes ellipses quae circa datum triangulum circumscribi possunt ea quaeritur cuius area sit omnium minima
693	On the center of similarity
694	Later paper on formulas of imaginary integrals
695	A succinct integration of the most memorable integral formula ∫ dz/((3±zz)*3√(1±3zz))
696	On the cases in which the form x4 + kxxyy + y4 is permitted to be reduced to a square
697	Investigatio superficierum quarum normales ad datum planum productae sint omnes inter se aequales
698	Several speculations about the area of spherical triangles
699	Inquiring on whether or not the number 100009 is prime
700	On differential equations of the second degree which admit integration
701	Formae generales differentialium, quae, etsi nulla substitutione rationales reddi possunt. tamen integrationem per logarithmos et arcus circulares admittunt
702	De novo genere quaestionum arithmeticarum pro quibus solvendis certa methodus adhuc desideratur
703	An easy method for finding series proceeding by the multiplication of the sines and cosines of angles, of which the use in the universal theory of astronomy is very great
704	Disquisitio ulterior super seriebus secundum multipla cuiusdam anguli progredientibus
705	Investigatio quarundam serierum, quae ad rationem peripheriae circuli ad diametrum vero proxime definiendam maxime sunt accommodatae
706	On a new type of rational and highly convergent series, by which the ratio of the periphery to the diameter is able to be expressed
707	On the outstanding use of the calculation of imaginations in the calculation of an integral
708	On forms of the type mxx + nyy for exploring prime numbers by idoneals of them with remarkable properties
709	On the expansion of the power of any polynomial 1 + x + x2 + x3 + x4 + etc.
711	A new and easy method for expressing for all algebraic equations not only their roots but also the powers of them by constructing series
712	De corporibus cylindricis incurvatis
713	An investigation of a triangle in which the distances of the angles from the center of gravity of it may be expressed rationally
714	Exempla quarundam memorabilium aequationum differentialium, quas adeo algebraice integrare licet, etiamsi nulla via pateat variabiles a se invicem separandi
715	On various ways of examining very large numbers, for whether or not they are primes
716	The resolution of the Diophantine formula ab(maa+nbb) = cd(mcc+ndd) by rational numbers
717	Solution to a problem of mechanics
718	An easy method of finding several rather large prime numbers
719	A more general method by which all adequately large numbers may be scrutinized for whether or not they are prime
720	Special observations about linear differential equations
721	De integrationibus difficillimis, quarum integralia tamen aliunde exhiberi possunt
722	Analytical disquisitions on the expansion of the trinomial power (1+x+xx)n
724	Research concerning some remarkable integrations in functional analysis with two variables known under the title of partial differentials
725	An illustration of a paradox about the idoneal, or suitable, numbers
726	A demonstration of a notable theorem of numbers a twelfth part of binomial powers
727	A more accurate treatment of the problem of drawing the shortest line on a surface
728	On the resolution of composite fractions into simpler ones
729	Dilucidationes super Problemate geometrico de quadrisectione trianguli a Iacobo Bernoulli olum tractato
730	Solutio completa problematis de quadrisectione trianguli per duas rectas inter se normales
731	The solution of a memorable problem by a special artifice of calculation
732	An easier solution of a Diophantine problem about triangles, in which those lines from the vertices which bisect the opposite sides may be expressed rationally
733	Solutio facilis problematis, quo quaeritur sphaera, quae datas quatuor sphaeras utcunque dispositas contingat
734	The integration of the differential equation dy + yydx = (A dx)/(a+2bx+cxx)2
735	On an outstanding paradox, which occurs in the analysis of maximums and minimums
736	On the summation of series contained in the form a/1 + a2/4 + a3/9 + a4/16 + a5/25 + a6/36 + etc.
737	De transformatione functionum duas variabiles involventium dum earum loco aliae binae variabiles introducuntur
738	The solution of a curious question in the scene of combinations
739	An easy rule for Diophantine problems which are to be resolved quickly by integral numbers
740	De lineis curvis non in eodem plano sitis, quae maximi minimive proprietate sunt praeditae
741	Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
742	Observations about continued fractions contained in the form S = n/(1+(n+1)/(2+(n+2)/(3+(n+3)/(4+etc.))))
743	De serie maxime memorabili, qua potestas binomialis quaecunque exprimi potest
744	On divisors of numbers of the form mxx + nyy
745	On the continued fractions of Wallis
746	A method for gathering the sums of infinite series by investigating differential formulas
747	On remarkable series, by which the sines and cosines of multiplied angles may be expressed
748	Investigatio quadrilateri, in quo singularum angulorum sinus datam inter se teneant rationem, ubi artificia prorsus singularia in Analysi Diophantea occurrunt
749	About geometry and spheres
750	A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers
751	Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
752	De integralibus quibusdam inventu difficillimis
753	Solution succincta et elegans problematis, quo quaeruntur tres numeri tales, ut tam summae quam differentiae binorum sint quadrata
754	On a problem of geometry resolved by Diophantine analysis
755	On cases for which the formula x4 + mxxyy + y4 can be reduced to a square
756	Solution to some curious problems of mechanics
757	On the problem of orthogonal trajectories, translated to surfaces
758	De binis formulis speciei xx + myy et xx + nyy inter se concordibus et discordibus
759	A more accurate investigation into brachistochrones
760	De vera brachystochrona seu linea celerrimi descensus in medio resistente
761	De brachystochrona in medio resistente, dum corpus ad centrum virium utunque attrahitur
762	Unpublished letter from Euler to Lagrange
763	On finding three or more numbers, the sum of which is a square, while the sum of the squares is a fourth power
764	An easy resolution to a most difficult question, where this most general form vvzz(axx+byy)2 + Δxxyy(avv+bzz)2 is required to be reduced to a square
765	De problemate curvarum synchronarum, eiusque imprimis inverso
766	Methodus nova et generalis problema synchronarum inversum aliaque eiusdem generis resolvendi
767	De curvis quarum radii osculi tenent rationem duplicatam distantiae a puncto fixo earumque mirabilibus proprietatibus
768	De unciis potestatum binomii earumque interpolatione
769	A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange
770	Enodatio maximi paradoxi, in problemate quodam mechanico occurentis
771	Solutio trium problematum difficiliorum ad methodum tangentium inversam pertinentium
772	On a notable advancement of Diophantine analysis
773	A solution of a most difficult problem, in which the two forms aaxx + bbyy et aayy + bbxx must be rendered into squares
774	An investigation of two numbers of the form xy(x4-y4), of which the product and the quotient will be a square
775	On two numbers, of which the sum when increased or decreased by the square of one of them produces a square
776	Elucidations about two sums of pairs of biquadratics, which are mutually equal
777	On the resolution of the equation 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy by rational numbers
778	A new and easy method for reducing cubic and biquadratic forms to squares
779	Solutio problematis ad analysin infinitorum indeterminatorum referendi
780	De infinitis curvis algebraicis, quarum longitudo indefinita arcui elliptico aequatur
781	De infinitis curvis algebraicis, quarum longitudo arcui parabolico aequatur
782	De binis curvis algebraicis eadem rectificatione gaudentibus
783	On algebraic curves, all of whose arcs may be measured by circular arcs
784	Solution to a very difficult analytical problem
785	Integration of a remarkable type of differential equation in analytical functions with two variables
787	Solution of a problem proposed in the Leipzig Acts in 1745
788	Letters of L. Euler and Chr. Goldbach 1729-1763
789	A few lines from a letter of L. Euler to Albrecht von Haller, from 4 July 1744
790	Commentary on the use of sublime mathematics
792	Tractatus de numerorum doctrina capita sedecim, quae supersunt
793	Thoughts concerning Diophantine analysis
794	A theorem of arithmetic and its proof
795	On magic squares
796	Research into the problem of three square numbers such that the sum of any two less the third one provides a square number
797	Further and curious research into the problem of four positive numbers and an arithmetical proportion such that the sum of any two is always a square number
798	On amicable numbers
799	A fragment of a commentary, the most part on finding the relation between the sides of triangles of which the area is able to be expressed rationally, and of triangles in which the lines from each angle bisecting the opposite line are rationals
800	A letter from L. Euler to Christoph Jezler, dated 4 May 1765
801	Three letters of Euler to Frederick the Great in 1743
802	Einige Zeilen aus Briefen von L. Euler an Johannes Schorndorf vom 27 April 1743 und vom 26 Mai 1750
803	Vierzehn Briefe oder Auszuge aus Briefen von L. Euler an W.J.G. Karsten 1758-1765
804	Two letters of Euler to Bulffinger in 1738
805	Posthumous works in mathematics and physics
806	Arithmetical fragments taken from the mathematical day book
807	On the logarithms of negative and imaginary numbers
808	An algebraic problem of finding four numbers with the sum of the three others
809	Series maxime idoneae pro circuli quadratura proxime invenienda
810	Enodatio insignis cuiusdam paradoxi circa multiplicationem angulorum observati
811	The true valuation of the risk in games
812	Reflections on a singular kind of lottery named the Genoese Lottery
813	Analysis of a problem in the calculus of probabilities
814	Foundations of Differential Calculus, volume 3
815	Solution of problems from the theory of maxima and minima
816	Thoughts on certain integral formulas for which the values can be expressed under certain circumstances by the squaring of the circle
817	On curved lines, the rectification of which is measured by given quadratures
818	On the comparison of irrectifiable curved arcs
819	Continuation of some fragments taken from the Mathematics day book
820	Six letters to Nicholas Bernoulli II of Basel, dated 1742 to 1745
821	Two letters to Frederick II, King of Prussia, sent in the years 1749 and 1763
822	Eighteen letters to Lagrange from 1755 to 1775
823	Statics
824	Vera vires existimandi ratio
825	De motu corporum circa punctum fixum mobilium
826	On the motion of a body on a moving surface
827	De motu corporum in tubo rectilineo mobili circa axem fixum, per ipsum tubum transeuntem
828	Dissertation on the motion of enclosed bodies in a rigid tube mobile around a fixed axis
829	De motu corporum in tubis circa punctum fixum mobilibus
830	Recensio litterarum a Cl. D. Bernoullio basilea die 26. Oct. 1735 ad me datarum, una cum annotationibus meis
831	De oscillationibus annulorum elasticorum
832	Von der Kraft der Rammen, Pfahle einzuschlagen
833	To determine the effect of a hydraulic machine invented by Mr. Segner, a Professor at Gottingen
834	Astronomia mechanica adjecta Digressione de cometa A. 1757
835	Solutio duorum problematum, Astronomiam mechanicam spectantium
836	New astronomical tables for calculating the position of the sun
837	De emendatione tabularum lunarium per observationes eclipsium lunae
838	Tria capita ex opere quodam majori inedito de theoria lunae
839	De atmosphaera lunae ex eclipsi colis annulari evicta
840	De motu cometarum in orbitis parabolicis, solem in foco habentibus
841	Research into the inequalities caused by planetary motion by random forces
842	An Introduction to Natural Science
843	Constructio manometri densitatem aeris quovis tempore accurate monstrantis
844	General theory of dioptrics
845	Seven chapters of a work on dioptrics
846	Research to serve for the perfection of glasses
847	De amplificatione campi apparentis in telescopiis
848	Concerning the construction of microscopes
849	Reflections on the determination of compass readings
850	Research on the discovery of the currents of the sea
851	Recensio Dissertationis de ventis
852	Thoughts on the formation of the voice
853	Meditation on experiments made recently on the firing of a cannon
854	Several pieces about monads
855	Determination of the prinicples of motion of blood through arteries
856	Fragments from the mathematical day book
857	Three unpublished from Euler to Johann Bernoulli I, 1729-1737
858	Unpublished letters from Euler to d'Alembert
860	Fourteen letters from Euler to P. L. M. de Maupertuis, 1752-1759
861	Extracts of letters from Euler to Johann Bernoulli I, 1739-1740
862	Extracts of letters from Euler to Johann Bernoulli I, 1728-1729
863	The correspondence between Leonhard Euler and Johann I Bernoulli, 1727-1740
864	The correspondence between Leonhard Euler and Daniel Bernoulli
865	Several lines of a letter from Euler to the "Royal Society" dated October 21/November 1, 1768
866	Letter from Euler to J. d'Alembert from February 15, 1748