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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 |
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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 |
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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 |
| 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 |
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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 |
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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 |
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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 |
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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 |
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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 |