Opuscula varii argumenti

Original Titles
English Titles

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
151A physical conjecture on the propagation of sound and light
152On amicable numbers
153A 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
154Observations on the rectification of ellipses
173New method of finding reciprocal algebraic trajectories
174On the motion of flexible bodies
365Extracts from some letters by Euler to d'Alembert
550On series in which the product of two consecutive terms make a given progression
551Various methods for inquiring into the innate characters of series
552Observations about the division of squares by prime numbers
553Analytical observations
554A more exact disquisition about the residues remaining from the division of squares and of higher powers by prime numbers
555An examination of the use of interpolating methods in the doctrine of series
556On the criteria of whether equation fxx + gyy = hxx admits a resolution or not
557De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus
558Proposita quacunque protressione ab unitate incipiente, quaeritur quot eius terminos a dminimum addi oporteat, ut omnes numeri producantur
559New assistance for solving the formula axx + 1 = yy
560Miscellaneous analyses
561Various observations about angles proceeding in geometric progression
562On how sines and cosines of multiplied angles may be expressed by products
586Considerations about a theorem of Fermat on the resolution of numbers into polygonal numbers
587An observation on several theorems of the illustrious de la Grange
588An investigation of the integral formula ∫ (xm-1 dx)/(1+xk)n in the case in which after integration it is set x = ∞
589An investigation of the value of the integral ∫ (xm-1 dx)/(1-2xkcosθ+x2k) the term to be extended from x = 0 to x = ∞
590Certain theorems in analysis, of which a demonstration is thus far desired
591On the relation between three and more quantities which are to be instituted
592On the resolution of transcendental fractions into infinitely many simple fractions
593On the transformation of series into continued fractions, where at once this not mediocre theory is enlarged
594A 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
595Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur
596On 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
597A new and most easy method for summing series of reciprocals of powers
598De insigni promotione scientiae numerorum
599Solution 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
600The solution of certain difficult questions in the calculus of probabilities