400 | Thoughts on the three body problem |
401 | A new way to compare the observations of the moon with the theory |
402 | On the movement of the apsides of the moons of Jupiter |
403 | Herr Leonhard Euler's necessary computation for the establishment of a widows-fund |
404 | Optics, part 3 |
405 | A solution of a problem about two numbers which are searched for, of which their product, increased or decreased by their sum or difference, will be a square |
406 | Observations about the roots of equations |
407 | An algebraic problem that is notable for some quite extraordinary relations |
408 | On rectifiable curves on spherical surfaces |
409 | The third chapter on the linear motion of fluids |
410 | Natural basic principles of the study of the state of equilibrium, and the motion, of bodies that are both perfectly flexible and elastic |
411 | On the impact of bullets exploded against a plate |
412 | Solution to a very difficult question in the calculus of probabilities |
413 | On the movement of ships without the force of the wind |
414 | An investigation of the perturbations by which the motions of the planets are---on account of their action upon one another---affected |
415 | Concerning pitching and rolling |
416 | Reflections on the question: Does the medial motion of the planets remain at constant speed, or does it, in the course of time, undergo some change? And what might be the cause of this? |
417 | Letters to a German Princess on various topics in physics and philosophy |
418 | Theory of lunar motion |
419 | On solids whose (entire) surface can be unfolded onto a plane |
420 | A new and easy method for treating the calculus of variations |
421 | Solution of a formula for the integral ∫ x^{ f-1} dx (log x)^{m/n} the integration being extended from the value x = 0 to x = 1 |
422 | The solution of a certain altogether remarkable geometrical problem |
423 | Considerations on the measurement of circles |
424 | Section four of the motion of air in tubes |
425 | On the perturbation of the motion of the Earth due to an action arising from Venus |
426 | Complete theory of the construction and steering of ships |
427 | An investigation of a certain Diophantine problem |
428 | Observations about two biquadratics, of which the sum is able to be resolved into two other biquadratics |
429 | On various types of integrals |
430 | Observations on the differential equation y dy + My dx + N dx = 0 |
431 | Consideration of the differential equation (a+bx)ddz + (c+ex)(dxdz/x) + (f+gx)(zdx^{2}/xx) = 0 |
432 | Analytical exercises |
433 | An aside on trajectories, both orthogonal and oblique-angled |
434 | On the collision of spinning bodies |
435 | On the collision of hanging bodies, both oblique and spinning |
436 | On the true tautochrone in fluids |
437 | On the tautochrone in a thin medium, where the resistance is directly proportional to the speed |
438 | Clarifications regarding the tautochrone |
439 | A further inquiry into vibrating chords |
440 | Inquiries into the Bernoulli solution, in Volume XVI of the New Commentaries, regarding the motion of strings composed of two parts of differing density |
441 | On the vibratory motion of strings composed of an arbitrary number of parts of differing density |
442 | On the vibratory motion of strings possessed of a density that varies arbitrarily |
443 | On the vibratory motion of elastic laminates, where many new types of vibrations, not treated heretofore, are solved |
444 | On the most rapid (descending) motion of weights along curves of a specified type |
445 | Proof that every integer is the sum of four squares |
446 | Detailed instructions to elevate any glasses to the highest level of perfection to which they are susceptible |
447 | The summation of the progressions sin(φ^{λ}) + sin(2φ^{λ}) + sin(3φ^{λ}) + ... + sin(nφ^{λ}); cos(φ^{λ}) + cos(2φ^{λ}) + cos(3φ^{λ}) + ... + cos(nφ^{λ}). |
448 | A new infinite series that expresses the perimeter of an ellipse, and which converges very rapidly |
449 | Demonstrations about the residues resulting from the division of powers by prime numbers |
450 | Nova ratio quantitates irrationales proxime exprimendi |
451 | A solution of the problem of finding a triangle, in which the lines from each angle bisecting the opposite sides are rational |
452 | The resolution of the equation Ax^{2} + 2Bxy + Cy^{2} + 2Dx + 2Ey + F = 0 by rational and integral numbers |
453 | Eminent properties of series within which the general term is contained as x = (1/2)(a+b/√k)(p+q√k)^{n} + (1/2)(a-b/√k)(p-q√k)^{n} |
454 | On the resolution of irrationals by continued fractions, where a certain minor new and singular type is set forth |
455 | A determination, sought from the first principles of mechanics, of the oscillatory motion that was treated in the preceding article |
456 | On the pressure of a weight on the plane against which it leans |
457 | De harmoniae veris principiis per speculum musicum repraesentatis |
458 | A new method of reducing the motions of the principal planets to astronomical tables |
459 | A disquisition concerning three-fold objective lens, which either create no distortion or which are capable of removing a given distortion arising from the other lens |
460 | On the application of objective lenses to all types of telescopes |
461 | Extract of a letter by Mr. Euler to Mr. Bernoulli father concerning the memoire published by them in 1771, p. 318 |
462 | On the value of the integral formula ∫ (z^{m-1} ± z^{n-m-1})/(1 ± z^{n}) dz in the case in which after integration it is put z = 1 |
463 | On the value of the integral formula ∫ (z^{λ-ω} ± z^{λ+ω})/(1 ± z^{2λ})(dz/z)(lz)^{μ} casu quo post integrationem ponitur z = 1 |
464 | A new method of determining integral qualities |
465 | A demonstration of a theorem of Newton on the expansion of the powers of a binomial by cases, in which the exponents are not integral numbers |
466 | A singular Diophantine problem |
467 | On the table of prime numbers continued up to one million and beyond, in which at once all the non-prime numbers are expressed by their smallest divisors |
468 | On the minimal oscillations of a pendulum laden with a given weight |
469 | On the oscillatory movement of two plates suspended from a balance |
470 | Explicatio motus oscillatorii mirabilis in libra maiore observati |
471 | De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur |
472 | Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo |
473 | Clarifications on the establishing of public which are as helpful to widows as to the deceased, with a description of a new type of Tontine as favorable to the public as it is useful to the state |
474 | A solution of several Diophantine problems |
475 | Analytical speculations |
476 | Observations about a new and singular type of progression |
477 | Meditations about a singular type of series |
478 | General formulas for the translation of arbitrary rigid bodies |
479 | A new method for generating the motion of a rigid body |
480 | Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli |
481 | De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu |
482 | De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur … |
483 | De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli. |
484 | De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur. |
485 | Answer to the question proposed by the Paris Academy for 1770 |
486 | Answer to the question proposed by the Paris Academy for 1772 |
487 | Thoughts by Mr. L. Euler concerning new experiments in optics transmitted to the Academy by Mr. Wilson |
488 | Observations on the foregoing dissertation of Bernoulli |
489 | On unravelling exponential formulas |
490 | On the representation of spherical surfaces on a plane |
491 | On the geographical projections of spherical surfaces |
492 | On de Lisle's geographic projection and its use |
493 | Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata |
494 | De figura quam ventus fluido stagnanti inducere valet |
495 | Considerationes super problemate astronomico in tomo commentarior. veter. IV. pertractato. |
496 | On the apparent figure of the ring of Saturn, according to the place of it from any perspective on earth |
497 | On the appearance and disappearance of the rings of Saturn |
498 | Extract of a letter from Mr. Euler to Mr. Beguelin from May 1778 |
499 | On the integration of the formula ∫ (dx lx)/√(1-xx) from x = 0 to x = 1 |