600 | The solution of certain difficult questions in the calculus of probabilities |
601 | De symptomatibus quatuor punctorum, in eodem plano sitorum |
602 | Methodus facilis omnia symptomata linearum curvarum non in eodem plano sitarum investigandi |
603 | De descensu baculi super hypomochlio cylindro fixo delabentis |
604 | On rectilinear and oblique reciprocal trajectories |
605 | On the remarkable properties of the elastic curves under the equation y = ∫ (xx dx)/√(1-x4) |
606 | Speculations concerning the integral formula ∫ (xndx)/√(aa-2bx+cxx), where at once occur exceptional observations about continued fractions |
607 | De motu globi circa axem obliquum quemcunque gyrantis et super plano horizontali incedentis |
608 | Accuratior evolutio formularum pro filorum flexibilium aequilibrio et motu inventarum |
609 | Considerations about rectilinear and oblique trajectories |
610 | New demonstrations about the divisors of numbers of the form xx + nyy |
611 | Investigatio curvarum quae similes sint suis evolutis vel primis vel secundis vel tertiis vel adeo ordinis cuiuscunque |
612 | De motu globi heterogenei super plano horizontali, una cum dilucidationibus necessariis super motu vacillatorio |
613 | Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus |
614 | Commentary on tractrix curves |
615 | De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis |
616 | On the transformation of the divergent series 1 - mx + m(m+n)x2 - m(m+n)(m+2n)x3 + etc. into a continued fraction |
617 | On the summation of series, in which the signs of the terms alternate |
618 | Consideratio motus singularis, qui in filo perfecte flexili locum habere potest |
619 | Enodatio difficultatis super figura terrae a vi centrifuga oriunda. |
620 | An easy method for finding the integral of the formula ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) in the case in which after integration it is put from x = 1 to x = ∞ |
621 | On the greatest use of the calculus of imaginaries in analysis |
622 | Specimen singulare analyseos infinitorum indeterminatae |
623 | De lineis rectificabilibus in superficie sphaeroidica quacunque geometrice ducendis |
624 | De superficie coni scaleni, ubi imprimis intentes difficultates, quae in hac investigatione occurrunt, perpenduntur |
625 | De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis |
626 | On the movement of three bodies mutually attracted above a straight line |
627 | Solutio problematis mechanici |
628 | Clarifications on the paper by Mr. de La Grange inserted into volume 5 of the Melanges de Turin, concerning the method of taking the mean of the results of various observations |
629 | The expansion of the integral formula ∫ dx(1/(1-x) + 1/(lx)) with the term extended from x = 0 to x = 1 |
630 | Uberior explicatio methodi singularis nuper expositae integralia alias maxime abscondita investigandi |
631 | An easy and clear analysis for guiding those most abstruse series, by which not only the roots but even the powers of the roots of all algebraic equations are able to be expressed |
632 | On innumerable types of most remarkable series, by which not only the roots but even too any power of the roots of all algebraic equations are able to be expressed |
633 | De binis curvis algebraicis inveniendis, quarum arcus indefinite inter se sint aequales |
634 | De motu oscillatorio tabulae suspensae et a vento agitatae |
635 | Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur |
636 | On the multiplication of angles which are to be obtained by factors |
637 | A new demonstration, with respect to which prevails the expansion of binomial powers by Newton even by fractional exponents |
638 | On innumerable algebraic curves, of which the longitude is able to be measured by parabolic arcs |
639 | On innumerable algebraic curves, of which the longitude is able to be measured by elliptical arcs |
640 | Comparatio valorum formulae integralis ∫ (xp-1 dx)/(n√((1-xn)n-q)) a termino x = 0 usque ad x = 1 extensae |
641 | De motu quodam maxime memorabili, satis quidem simplici, at solutu difficillimo |
642 | On a singular rule for differentiating and integrating, which occurs in the sums of series |
643 | A general method for investigating all the roots of an equation by approximation |
644 | Innumerable forms of equations from all orders, of which a resolution is able to be exhibited |
645 | On algebraic curves, of which the longitudes are expressed by the integral formula ∫ (vm-1 dv)/√(1-v2n) |
646 | De duabus pluribusve curvis algebraicis in quibus si a terminis fixis aequales arcus abscindantur eorum amplitudines datam inter se teneant rationem |
647 | De methodo tangentium inversa ad theoriam solidorum translata |
648 | An easy solution of a problem, in which a circle is searched for, given three circles tangent to it |
649 | De motu oscillatorio penduli circa axem cylindricum plano horizontali incumbentem |
650 | De formulis differentialibus quae per duas pluresve quantitates datas multiplicatae fiant integrabiles |
651 | Four most noteworthy theorems on the calculation of an integral |
652 | On the general term of hypergeometric series |
653 | De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur |
654 | Methodus facilis investigandi radium osculi ex principio maximorum et minimorum petita |
655 | General observations about series, of which the terms arising for the sines or cosines of multiplied angles come forth |
656 | On most memorable integrations arising from the calculation of imaginaries |
657 | A supplement to the preceding dissertation about the integration of the formula ∫ (zm-1 dz)/(1-zn) in the case where z = v(cos(φ) + √(-1) sin(φ)) |
658 | De momentis virium respectu axis cuiuscunque inveniendis; ubi plura insignia symptomata circa binas rectas, non in eodem plano sitas, explicantur |
659 | Methodus facilis omnium virium momenta respectu axis cuiuscunque determinandi |
660 | Foundations of Integral Calculus, Volume 4 |
661 | Several considerations about hypergeometric series |
662 | On the true value of the integral formula ∫ dx(l(1/x))n with the term extended from x = 0 all the way to x = 1 |
663 | Plenior expositio serierum illarum memoragilium, quae ex unciis potestatum binomii formantur |
664 | Analytical exercises |
665 | The evolution of a problem whose analytic solution is most difficult, while the synthetic solution for it is obvious |
666 | Problema geometricum ob singularia symptomata imprimis memorabile |
667 | De curvis hyperbolicis quae intra suas assymtotas spatium finitum includunt |
668 | On the integration of the formula (dx √(1+x4))/(1-x4) and of others of the same type by logarithms and circular arcs |
669 | Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet |
670 | De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur |
671 | De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet |
672 | A memorable theorem about the integral formula ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1 |
673 | A conjectural disquisition about the integral formula ∫ (dφcos(iφ))/(α+βcos(φ))n |
674 | Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1 |
675 | On the values of integrals where the variable term is extended x = 0 all the way to x = ∞ |
676 | Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi |
677 | Special methods for resolving differential equations of the second degree |
678 | A new method for investigating all cases in which the differential equation ddy(1-axx) - bx dx dy - cy dx2 = 0 is permitted to resolve |
679 | De formulis integralibus implicatis earumque evolutione et transformatione |
680 | De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt |
681 | Specimen aequationum differentialium indefiniti gradus earumque integrationis |
682 | On the pressure of a table weighted by a weight on a surface. From the papers of the blessed Leonhard Euler extracted by Jakob Bernoulli. |
683 | On a singular type of Diophantine questions and a most recondite method by which they are to be resolved |
684 | On the roots of the infinite equation 0 = 1 - (xx)/(n(n+1)) + (x4)/(n(n+1)(n+2)(n+3)) - (x6)/(n.....(n+5)) + etc. |
685 | An analytical exercise, where in particular a most general summation of series is given |
686 | Elucidations about the formula, in which the sines and cosines of angles are to be multiplied, where at once large difficulties are diluted |
687 | De insignibus proprietatibus formularum integralium praeter binas variabiles etiam earum differentialia cuiuscunque ordinis involventium |
688 | A most abstruse specimen of integral contained in the formula ∫ dx/((1+x)*4√(2xx-1)) |
689 | Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet |
690 | The expansion of the integral formula ∫ dz(3+zz)/((1+zz)*4√(1+6zz+z4)) by logarithms and circular arcs |
691 | Problema geometricum quo inter omnes ellipses quae per data quatuor puncta traduci possunt ea quaeritur quae habet aream minimam |
692 | Solutio problematis maxime curiosi quo inter omnes ellipses quae circa datum triangulum circumscribi possunt ea quaeritur cuius area sit omnium minima |
693 | On the center of similarity |
694 | Later paper on formulas of imaginary integrals |
695 | A succinct integration of the most memorable integral formula ∫ dz/((3±zz)*3√(1±3zz)) |
696 | On the cases in which the form x4 + kxxyy + y4 is permitted to be reduced to a square |
697 | Investigatio superficierum quarum normales ad datum planum productae sint omnes inter se aequales |
698 | Several speculations about the area of spherical triangles |
699 | Inquiring on whether or not the number 100009 is prime |