|
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. |
|
710 | Example of the transformation of singular series |
| 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 |
| 723 | A letter by Euler |
| 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 |
| 786 | The Complete works of L. Euler in French |
| 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 |
| 791 | Collected arithmetical commentaries |
| 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 |