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Articles 292891 - 292920 of 292958

Full-Text Articles in Physical Sciences and Mathematics

Solutio Problematis Catoptrici In His Actis A. 1745 Mense Septembri P. I Pag. 523 Propositi, Leonhard Euler Dec 1745

Solutio Problematis Catoptrici In His Actis A. 1745 Mense Septembri P. I Pag. 523 Propositi, Leonhard Euler

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No abstract provided.


Sur Quelques Proprietés Des Sections Coniques, Qui Conviennent À Une Infinité D'Autres Lignes Courbes, Leonhard Euler Dec 1745

Sur Quelques Proprietés Des Sections Coniques, Qui Conviennent À Une Infinité D'Autres Lignes Courbes, Leonhard Euler

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No abstract provided.


Tabulae Astronomicae Solis Et Lunae, Leonhard Euler Dec 1745

Tabulae Astronomicae Solis Et Lunae, Leonhard Euler

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No abstract provided.


Nova Theoria Lucis Et Colorum, Leonhard Euler Dec 1745

Nova Theoria Lucis Et Colorum, Leonhard Euler

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No abstract provided.


Recherches Physiques Sur La Nature Des Moindres Parties De La Matière, Leonhard Euler Dec 1745

Recherches Physiques Sur La Nature Des Moindres Parties De La Matière, Leonhard Euler

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No abstract provided.


Novae Et Correctae Tabulae Ad Loca Lunae Computanda, Leonhard Euler Dec 1744

Novae Et Correctae Tabulae Ad Loca Lunae Computanda, Leonhard Euler

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No abstract provided.


Dissertation Sur La Meilleure Construction Du Cabestan, Leonhard Euler Dec 1744

Dissertation Sur La Meilleure Construction Du Cabestan, Leonhard Euler

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No abstract provided.


Problema Geometricum Propositum Publice Ab Anonymo Geometra, Leonhard Euler Dec 1744

Problema Geometricum Propositum Publice Ab Anonymo Geometra, Leonhard Euler

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No abstract provided.


Theoria Motuum Planetarum Et Cometarum, Leonhard Euler Dec 1743

Theoria Motuum Planetarum Et Cometarum, Leonhard Euler

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No abstract provided.


De Communicatione Motus In Collisione Corporum Sese Non Directe Percutientium, Leonhard Euler Dec 1743

De Communicatione Motus In Collisione Corporum Sese Non Directe Percutientium, Leonhard Euler

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No abstract provided.


De Constructione Aequationum, Leonhard Euler Dec 1743

De Constructione Aequationum, Leonhard Euler

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No abstract provided.


Solutio Problematis Geometrici Circa Lunulas A Circulis Formatas, Leonhard Euler Dec 1743

Solutio Problematis Geometrici Circa Lunulas A Circulis Formatas, Leonhard Euler

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No abstract provided.


Solutio Problematis In Novorum Actorum Eruditorum Mense Novembri A. 1743 Propositi, Leonhard Euler Dec 1743

Solutio Problematis In Novorum Actorum Eruditorum Mense Novembri A. 1743 Propositi, Leonhard Euler

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No abstract provided.


Leonhardus Eulerus Mathematicus Acutissimus Ad Auctorem, Leonhard Euler Dec 1741

Leonhardus Eulerus Mathematicus Acutissimus Ad Auctorem, Leonhard Euler

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No abstract provided.


Solutio Problematum Rectivicationem Ellipsis Requirentium, Leonhard Euler Dec 1740

Solutio Problematum Rectivicationem Ellipsis Requirentium, Leonhard Euler

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No abstract provided.


Inventio Summae Cuiusque Seriei Ex Dato Termino Generali, Leonhard Euler Dec 1740

Inventio Summae Cuiusque Seriei Ex Dato Termino Generali, Leonhard Euler

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Euler continues with the methods of E25 to attack ζ(2) for a second time. He starts with a Taylor series, builds a "Bernoulli polynomial" and uses it to evaluate 0n + 1n + 2n + 3n + ... + (x-1)n, (x = 1, 2, 3, ...) and gets the relationship (B+1)n+1Bn+1 = 0 for Bernoulli numbers. He gets an infinite series approximation for the nth partial sum of the harmonic series.


Investigatio Binarum Curvarum, Quarum Arcus Eidem Abscissae Respondentes Summam Algebraicam Constituant, Leonhard Euler Dec 1740

Investigatio Binarum Curvarum, Quarum Arcus Eidem Abscissae Respondentes Summam Algebraicam Constituant, Leonhard Euler

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No abstract provided.


De Oscillationibus Fili Flexilis Quotcunque Pondusculis Onusti, Leonhard Euler Dec 1740

De Oscillationibus Fili Flexilis Quotcunque Pondusculis Onusti, Leonhard Euler

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No abstract provided.


De Constructione Aequationum Ope Motus Tractorii Aliisque Ad Methodum Tangentium Inversam Pertinentibus, Leonhard Euler Dec 1740

De Constructione Aequationum Ope Motus Tractorii Aliisque Ad Methodum Tangentium Inversam Pertinentibus, Leonhard Euler

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No abstract provided.


Solutio Problematis Ad Geometriam Situs Pertinentis, Leonhard Euler Dec 1740

Solutio Problematis Ad Geometriam Situs Pertinentis, Leonhard Euler

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No abstract provided.


Methodus Universalis Series Summandi Ulterius Promota, Leonhard Euler Dec 1740

Methodus Universalis Series Summandi Ulterius Promota, Leonhard Euler

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No abstract provided.


Curvarum Maximi Minive Proprietate Gaudientium Inventio Nova Et Facilis, Leonhard Euler Dec 1740

Curvarum Maximi Minive Proprietate Gaudientium Inventio Nova Et Facilis, Leonhard Euler

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No abstract provided.


Inquisitio Physica In Causam Fluxus Ac Refluxus Maris, Leonhard Euler Dec 1740

Inquisitio Physica In Causam Fluxus Ac Refluxus Maris, Leonhard Euler

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No abstract provided.


Seventeen Letters From Euler To Johann I Bernoulli, 1727-1740, Leonhard Euler Jan 1740

Seventeen Letters From Euler To Johann I Bernoulli, 1727-1740, Leonhard Euler

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No abstract provided.


De Infinitis Curvis Eiusdem Generis Seu Methodus Inveniendi Aequationes Pro Infinitis Curvis Eiusdem Generis, Leonhard Euler Dec 1739

De Infinitis Curvis Eiusdem Generis Seu Methodus Inveniendi Aequationes Pro Infinitis Curvis Eiusdem Generis, Leonhard Euler

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No abstract provided.


Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler Dec 1739

Solutio Problematis Arithmetici De Inveniendo Numero, Qui Per Datos Numeros Divisus Relinquat Data Residua, Leonhard Euler

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Euler proves the Chinese Remainder Theorem by constructing an algorithm to find the smallest number which, divided by given numbers, leaves given remainders. He begins by solving the case in which two relatively prime divisors with corresponding remainders are given and proposes that by repeating his algorithm, he can solve similar problems with any number of constraints. Euler then discusses scenarios in which divisors are not relatively prime, and ends the paper with an application of his algorithm to a classic problem: dating events in Roman indictions.


Solutio Problematum Quorundam Astronomicorum, Leonhard Euler Dec 1739

Solutio Problematum Quorundam Astronomicorum, Leonhard Euler

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No abstract provided.


De Minimis Oscillationibus Corporum Tam Rigidorum Quam Flexibilium. Methodus Nova Et Facilis., Leonhard Euler Dec 1739

De Minimis Oscillationibus Corporum Tam Rigidorum Quam Flexibilium. Methodus Nova Et Facilis., Leonhard Euler

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No abstract provided.


De Progressionibus Harmonicis Observationes, Leonhard Euler Dec 1739

De Progressionibus Harmonicis Observationes, Leonhard Euler

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Euler gives the now-named Euler-Mascheroni constant, accurate to five decimal places, and examines several series related to log(n).


Additamentum Ad Dissertationem De Infinitis Curvis Eiusdem Generis, Leonhard Euler Dec 1739

Additamentum Ad Dissertationem De Infinitis Curvis Eiusdem Generis, Leonhard Euler

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No abstract provided.