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 |
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 |
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 ax^{n} dx = dy + y^{2} dx |
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 |
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 |
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 |
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 |
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 |