|
613 | Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus |
| 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 |
| 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 |