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500 | On the value of the integral formula ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) 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 |
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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 |
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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 |
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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 |
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540 | A new method for resolving all rational fractions into simpler fractions |
| 541 | The expansion of the infinite product (1-x)(1-xx)(1-x3)(1-x4)(1-x5) 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. |
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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 |
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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 |
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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 |
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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+nz4), 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 ∫ (xm-1 dx)/(1+xk)n in the case in which after integration it is set x = ∞ |
| 589 | An investigation of the value of the integral ∫ (xm-1 dx)/(1-2xkcosθ+x2k) the term to be extended from x = 0 to x = ∞ |
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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 |