500 | On the value of the integral formula ∫ ((x^{a-1} dx)/lx)(1-x^{b})(1-x^{e})/(1-x^{n}) bounded at x = 0 and extended to x = 1 |
501 | Considerations about brachistochrones |
502 | On the effects of refraction during terrestrial observations |
503 | De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit |
504 | On the Theory of the Moon which is to be carried to a higher level of perfection |
505 | De corporibus regularibus per doctrinam sphaericam determinatis; ubi simul nova methodus globos sive coelestes sive terrestres charta obducendi traditur |
506 | (Elucidations about a most elegant method, which the illustrious la Grange used in the integration of the differential equation dx/√X = dy/√Y |
507 | On the infinity of infinities of orders of the infinitely large and infinitely small |
508 | The determination of the loads which columns are strong enough to bear |
509 | An examination of an outstanding paradox occurring in the theory of columns |
510 | De altitudine columnarum sub proprio pondere corruentium |
511 | Thoughts concerning the Earth's motional inequalities caused by Venus' action, accompanied with a table of the corrections of Earth's position |
512 | Investigatio perturbationum quae in motu terrae ab actione Veneris producunter: cum tabula perturbationum istarum |
513 | On triangular curves |
514 | On the measure of solid angles |
515 | De casibus quibusdam maxime memorabilibus in analysi indeterminata, ubi imprimis insignis usus calculi angulorum in analysi Diophantea ostenditur |
516 | De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum |
517 | On a certain problem in mechanics, obvious enough, but with a most difficult solution |
518 | Solutio gemina problematis, quo motus corporis, filo alicubi alligati, super plano horizontali quaeritur |
519 | New method to determine the motion of planets |
520 | Essay of the theory of resistance that a prow of a ship experiences throughout its motion |
521 | Analytical theories. Extracts of different letters of Mr. Euler to Mr. le Marquis de Condorcet |
522 | On the formation of continuous fractions |
523 | On three square numbers, of which the sum and the sum of products two apiece will be a square |
524 | A universal spherical trigonometry, derived briefly and from first principles |
525 | De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum |
526 | Investigatio motuum, quibus laminae et virgae elasticae contremiscunt |
527 | A conjecture about the nature of air, by which are to be explained the phenomenon which have been observed in the atmosphere |
528 | An annotation to the preceding dissertation |
529 | A theory of parallaxes, accommodating the spheroid shape of the Earth |
530 | Investigations on a new type of magic square |
531 | Brief analytical works, volume 1 |
532 | On the remarkable properties of a series of Lambert and others |
533 | On the oscillating motion derived from a tense hanging thread |
534 | Elucidations about several rather difficult cases of equilibrium |
535 | Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest |
536 | On the properties of triangles in mechanics |
537 | On the figure of elastic curves against the objections of the illustrious d'Alembert |
538 | Necessary cautions in the determination of the motion of planets which are to be observed |
539 | A supplement to the calculation of integrals for the calculation of irrational formulas |
540 | A new method for resolving all rational fractions into simpler fractions |
541 | The expansion of the infinite product (1-x)(1-xx)(1-x^{3})(1-x^{4})(1-x^{5}) etc. into a single series |
542 | On the remarkable properties of the pentagonal numbers |
543 | Problematis cuiusdam Pappi Alexandrini constructio |
544 | De motu libero plurium corporum filis colligatorum super plano horizontali |
545 | De vi fluminis ad naves sursum trahendas applicanda |
546 | De statu aequilibrii maris a viribus solis et lunae sollicitati. |
547 | Simple determination of the orbit of a comet, when it is possible to observe its transit across the ecliptic twice |
548 | De variis motuum generibus, qui in satellitibus planetarum locum habere possunt. |
549 | De motibus maxime irregularibus, qui in systemate mundano locum habere possent, una cum methodo hujusmodi motus per temporis spatium quantumvis magnum prosequendi. |
550 | On series in which the product of two consecutive terms make a given progression |
551 | Various methods for inquiring into the innate characters of series |
552 | Observations about the division of squares by prime numbers |
553 | Analytical observations |
554 | A more exact disquisition about the residues remaining from the division of squares and of higher powers by prime numbers |
555 | An examination of the use of interpolating methods in the doctrine of series |
556 | On the criteria of whether equation fxx + gyy = hxx admits a resolution or not |
557 | De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus |
558 | Proposita quacunque protressione ab unitate incipiente, quaeritur quot eius terminos a dminimum addi oporteat, ut omnes numeri producantur |
559 | New assistance for solving the formula axx + 1 = yy |
560 | Miscellaneous analyses |
561 | Various observations about angles proceeding in geometric progression |
562 | On how sines and cosines of multiplied angles may be expressed by products |
563 | On the smallest ellipse which is to circumsrcibe a given rectilinear parallelogram |
564 | Speculations about certain outstanding properties of numbers |
565 | On highly transcendental quantities, which may not be expressed in any way by integral formulas |
566 | De inductione ad plenam certitudinem evehenda |
567 | Dilucidationes de motu chordarum inaequaliter crassarum |
568 | De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione |
569 | De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Habita frictionis ratione |
570 | On finding longitude of a place by observing the distance between the moon and a known fixed star |
571 | De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis. |
572 | Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum |
573 | De duplici genesi tam epicycloidum quam hypocycloidum |
574 | De curvis rectificabilibus in superficie coni recti ducendis |
575 | De mirabilibus proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrunt |
576 | De oscillationibus minimis funis libere suspensi |
577 | De perturbatione motus chordarum ab earum pondere oriunda |
578 | On the disturbance of motion concerning planets and comets |
579 | Calculations on aerostatic balloons made by the late Mr. Leonhard Euler, as they were found on his blackboard, after his death on September 7, 1783 |
580 | Brief analytical works, volume 2 |
581 | A more complete investigation into the relationship between those quantities contained in the integral formula ∫ (\Z dz)/√(1+mzz+nz^{4}), where Z denotes a rational function of zz. |
582 | The fruitful development of a relation which may be established between the arcs of conic sections |
583 | De numero memorabili in summatione progressionis harmonicae naturalis occurrente |
584 | De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis |
585 | De effectu frictionis in motu volutorio |
586 | Considerations about a theorem of Fermat on the resolution of numbers into polygonal numbers |
587 | An observation on several theorems of the illustrious de la Grange |
588 | An investigation of the integral formula ∫ (x^{m-1} dx)/(1+x^{k})^{n} in the case in which after integration it is set x = ∞ |
589 | An investigation of the value of the integral ∫ (x^{m-1} dx)/(1-2x^{k}cosθ+x^{2k}) the term to be extended from x = 0 to x = ∞ |
590 | Certain theorems in analysis, of which a demonstration is thus far desired |
591 | On the relation between three and more quantities which are to be instituted |
592 | On the resolution of transcendental fractions into infinitely many simple fractions |
593 | On the transformation of series into continued fractions, where at once this not mediocre theory is enlarged |
594 | A 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 |
595 | Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur |
596 | On 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 |
597 | A new and most easy method for summing series of reciprocals of powers |
598 | De insigni promotione scientiae numerorum |
599 | Solution 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 |