Enestrom Numbers 000-099

Original Titles
English Titles

1Construction of isochronous curves in a resistant medium
2Physical dissertation on sound
3On a method for algebraic reciprocal trajectories
4Thoughts on a nautical problem, proposed by the illustrious Royal Academy of Sciences in Paris
5Solution to the problem of reciprocal trajectories
6Dissertation on a number of new types of tautochrone curves
7Attempt at explanation of the phenomena of air
8Solution to the problem of finding curves which is formed by an elastic strip when a force is applied to a single point
9On the shortest line joining two points on a surface
10A new method of reducing innumerable differential equations of the second degree to differential equations of the first degree
11Solution of certain differential equations which do not admit separation of variables
12On the innumerable tautochrone curves in a vacuum
13Tautochrone curves in a fluid making a second resistance proportional to the square of the speed
14Solution 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
15Mechanics, volume 1
16Mechanics, volume 2
17The Art of Reckoning
18On the Indian solar year
19On transcendental progressions, that is, those whose general terms cannot be given algebraically
20The summation of an innumerable progression
21For 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
22On the communication of motion in collisions
23On rectifiable algebraic curves
24Solution of a remarkable case concerning tautochronism
25A general method for summing series
26Observations on a theory of Fermat and others on looking at prime numbers
27On isoperimetric problems in the widest sense
28Example of the construction of equations
29On the solution of a problem of Diophantus
30Inferences on the forms of roots of equations and of their orders
31Solution to differential equations of the form axn dx = dy + y2 dx
32On the shape of the earth
33An attempt at a new theory of music, exposed in all clearness, according to the most well-founded principles of harmony
34Dissertation on fire
35Introduction to the Art of Reckoning, for use in the Gymnasiums of the Imperial Academy of Sciences in St. Petersburg
36Solution of problems of arithmetic of finding numbers which, when divided by given numbers, leave given remainders
37On the motion of planets and orbits
38Determination of orbits around the sun
39Solution to a problem concerning astronomy
40On the smallest oscillations of rigid and flexible bodies. A new and easy method.
41On the sums of series of reciprocals
42On the curve of fastest descent in whatever resistent medium
43On harmonic progressions
44On infinite(ly many) curves of the same type, that is, a method of finding equations for infinite(ly many) curves of the same type
45Addendum to the dissertation on infinite(ly many) curves of the same type
46Universal methods of series
47Finding the sum of any series from a given general term
48Investigation of pairs of curves whose arcs that correspond to the same abscissa constitute an algebraic sum
49On the oscillations of a flexible wire weighted with arbitrarily many little weights (?)
50A method for computing the equation of a meridian
51On the construction of equations using dragged motion, and of other things pertinent to the inverse method of tangents
52Solution of a problem requiring the rectification of an ellipse
53The solution of a problem relating to the geometry of position
54A proof of certain theorems regarding prime numbers
55Universal method for summation of series, further developed
56New and easy method of finding curves enjoying a maximal or minimal property
57A physical inquiry into the cause of the ebb and flow of the sea
58Determination of the motion of a comet which can be observed in March of this year, 1742
59Theorems concerning the reduction of integral formulas to the quadrature of the circle
60On the resolution of an integral, if after integration the value for the determined variable quantity is assigned
61On sums of series of reciprocals from powers of natural numbers from another discussion, in which the sums are derived principally from another source
62On the integration of differential equations of various degrees
63Demonstration of the sum of the series 1 + 1/4 + 1/9 + 1/16
64Leonhardus Eulerus mathematicus acutissimus ad auctorem
65A method for finding curved lines enjoying properties of maximum or minimum, or solution of isoperimetric problems in the broadest accepted sense
66Theory of the motions of planets and comets
67Answers to various questions about the condition, motion, and effects of comets
68Further answers to various questions about the condition, motion, and effects of comets
69On the imparting of motion from a collision of bodies not striking each other directly
70On the construction of equations
71A dissertation on continued fractions
72Various observations about infinite series
73The solution to a geometric problem about circles shaped as moons
74On various methods for expressing the quadrature of a circle with verging numbers
75Solution of a problem proposed in the Nova Acta Eruditorum in November, 1743
76New and correct tables for computing the location of the moon
77New Principles of Gunnery
78Essay on a better construction of a capstan
79A problem of geometry proposed publicly by an anonymous geometer
80Opuscula varii argumenti
81Thoughts on the elements of bodies
82Percussion and its true measurement
83On several properties of the conic sections which intersect with an infinity of other curved lines
84Observation by Leonhard Euler on sections 83 and following of the preceding book, concerning elastic curves
85Solution to a catoptric problem proposed in this journal in September 1745 on page 523
86On the movement of bodies on movable surfaces
87Astronomical table of the sun and the moon
88A new theory of light and colors
89On the running down of the motion of the planets
90Analysis of the question whether the faculty of thinking can be attributed to matter or not
91Physical investigations on the nature of the smallest parts of matter
92Defense of divine revelations against the objections of the freethinkers
93An inquiry into balances
94On the movement of a boat with oars propelled through running waters
95On differential equations which admit integration only in certain cases
96On the most profitable application of simple as well as composite machines
97On the attraction of spherico-elliptical bodies
98The proofs of some arithmetic theorems
99The solution to a certain problem proposed by the celebrated Daniel Bernoulli