|
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 |
| 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 |
| 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 |
|
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 |
| 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 |
| 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 |
| 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 |