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Uber Die Aufnahme Herrn Ludewig Wilhelm Von Langenau In Die Deutsche Gesellschaft, Sidonia Hedwig Zäunemann Dec 1737

Uber Die Aufnahme Herrn Ludewig Wilhelm Von Langenau In Die Deutsche Gesellschaft, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Verruchter Mensch! Du Heist Ein Christ, Sidonia Hedwig Zäunemann Dec 1737

Verruchter Mensch! Du Heist Ein Christ, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Versuch Eines Wald-Gedichts, Sidonia Hedwig Zäunemann Dec 1737

Versuch Eines Wald-Gedichts, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Vorrede Vor Den Frauenzimmer- Reise- Und Hand-Calender, Sidonia Hedwig Zäunemann Dec 1737

Vorrede Vor Den Frauenzimmer- Reise- Und Hand-Calender, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Was Hast Du Seele, Mit Der Erden, Sidonia Hedwig Zäunemann Dec 1737

Was Hast Du Seele, Mit Der Erden, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Wegen Uberlieferung Des Ihr Gewidmeten Poetischen Lorber-Kranzes, Sidonia Hedwig Zäunemann Dec 1737

Wegen Uberlieferung Des Ihr Gewidmeten Poetischen Lorber-Kranzes, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Wer Ruhig Schlafen Will, Der Muß Die Sorgen Meiden, Sidonia Hedwig Zäunemann Dec 1737

Wer Ruhig Schlafen Will, Der Muß Die Sorgen Meiden, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Widmung, Sidonia Hedwig Zäunemann Dec 1737

Widmung, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Wie Ein Wandersmann Vorm Regen Auf Dem Feld Nicht Sicher Ist, Sidonia Hedwig Zäunemann Dec 1737

Wie Ein Wandersmann Vorm Regen Auf Dem Feld Nicht Sicher Ist, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Wo Seh Ich Hin Ist Das Nicht Gottes Sohn, Sidonia Hedwig Zäunemann Dec 1737

Wo Seh Ich Hin Ist Das Nicht Gottes Sohn, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Wo Werd Ich Hingerücket, Sidonia Hedwig Zäunemann Dec 1737

Wo Werd Ich Hingerücket, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


Zufällige Und Sogleich Entworfene Gedanken, Sidonia Hedwig Zäunemann Dec 1737

Zufällige Und Sogleich Entworfene Gedanken, Sidonia Hedwig Zäunemann

Poetry

This title is part of a compilation, Poetische Rosen in Knospen, found at https://scholarsarchive.byu.edu/sophpm_poetry/21/.


De Summatione Innumerabilium Progressionum, Leonhard Euler Dec 1737

De Summatione Innumerabilium Progressionum, Leonhard Euler

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This paper concerns the sum of reciprocal squares, which equals π2/6. Euler does not yet have the tools to find this value directly, but instead approximates it as 1.644934. He says this follows from E25 and E19, and also refers us forward to E736. Then Euler brings in the harmonic series: letting f(x) denote the xth partial sum of the harmonic series, he approximates it as an integral and defines his constant γ as the limit of f(x) – log(x).


Constructio Aequationis Differentialis AxN Dx = Dy + Y2 Dx, Leonhard Euler Dec 1737

Constructio Aequationis Differentialis AxN Dx = Dy + Y2 Dx, Leonhard Euler

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No abstract provided.


De Progressionibus Transcendentibus Seu Quarum Termini Generales Algebraice Dari Nequeunt, Leonhard Euler Dec 1737

De Progressionibus Transcendentibus Seu Quarum Termini Generales Algebraice Dari Nequeunt, Leonhard Euler

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No abstract provided.


Quomodo Data Quacunque Curva Inveniri Oporteat Aliam Quae Cum Data Quodammodo Iuncta Ad Tautochronismum Producendum Sit Idonea, Leonhard Euler Dec 1737

Quomodo Data Quacunque Curva Inveniri Oporteat Aliam Quae Cum Data Quodammodo Iuncta Ad Tautochronismum Producendum Sit Idonea, Leonhard Euler

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No abstract provided.


De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler Dec 1737

De Formis Radicum Aequationum Cuiusque Ordinis Coniectatio, Leonhard Euler

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For an equation of degree n, Euler wants to define a "resolvent equation" of degree n-1 whose roots are related to the roots of the original equation. Thus, by solving the resolvent one can solve the original equation. In sections 2 to 7 he works this out for quadratic, cubic, and biquadratic equations. In section 8 Euler says that he wants to try the same approach for solving the quintic equation and general nth degree equations. In the rest of the paper he tries to figure out in what cases resolvents will work.


Von Der Gestalt Der Erden, Leonhard Euler Dec 1737

Von Der Gestalt Der Erden, Leonhard Euler

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No abstract provided.


Methodus Generalis Summandi Progressiones, Leonhard Euler Dec 1737

Methodus Generalis Summandi Progressiones, Leonhard Euler

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This paper leads to Bernoulli numbers from an integral of an infinite series and is called a beautiful triumph by Euler.


Observationes De Theoremate Quodam Fermatiano Aliisque Ad Numeros Primos Spectantibus, Leonhard Euler Dec 1737

Observationes De Theoremate Quodam Fermatiano Aliisque Ad Numeros Primos Spectantibus, Leonhard Euler

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Euler shows that the fifth Fermat number, 225 +1 = 4,294,967,297, is not prime because it is divisible by 641, though he does not give any clues about how he discovered this fact. He also tacks on a few "theorems" but says that he does not yet know how to prove them.


Specimen De Constructione Aequationum Differentialium Sine Indeterminatarum Separatione, Leonhard Euler Dec 1737

Specimen De Constructione Aequationum Differentialium Sine Indeterminatarum Separatione, Leonhard Euler

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In this paper, Euler investigates a differential equation that he encountered in finding the arc length of an ellipse. This differential equation cannot be solved by separation of variables, as is indicated in the title of the article. Euler first develops a formula for the arc length of an ellipse by cleverly manipulating a binomial series, then shows that this formula satisfies the desired differential equation. Integrating factors make a brief appearance.


Curva Tautochrona In Fluido Resistentiam Faciente Secundum Quadrata Celeritatum, Leonhard Euler Dec 1734

Curva Tautochrona In Fluido Resistentiam Faciente Secundum Quadrata Celeritatum, Leonhard Euler

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No abstract provided.


De Innumerabilibus Curvis Tautochronis In Vacuo, Leonhard Euler Dec 1734

De Innumerabilibus Curvis Tautochronis In Vacuo, Leonhard Euler

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No abstract provided.


Solutio Problematis Astronomici Ex Datis Tribus Stellae Fixae Altitudinibus Et Temporum Differentiis Invenire Elevationem Poli Et Declinationem Stellae. Auct. L. Eulero, Leonhard Euler Dec 1734

Solutio Problematis Astronomici Ex Datis Tribus Stellae Fixae Altitudinibus Et Temporum Differentiis Invenire Elevationem Poli Et Declinationem Stellae. Auct. L. Eulero, Leonhard Euler

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No abstract provided.


Constructio Aequationum Quarundam Differentialium, Quae Indeterminatarum Separationem Non Admittunt, Leonhard Euler Dec 1732

Constructio Aequationum Quarundam Differentialium, Quae Indeterminatarum Separationem Non Admittunt, Leonhard Euler

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No abstract provided.


Solutio Problematis De Invenienda Curva, Quam Format Lamina Utcunque Elastica In Singulis Punctis A Potentiis Quibuscunque Sollicitata, Leonhard Euler Dec 1731

Solutio Problematis De Invenienda Curva, Quam Format Lamina Utcunque Elastica In Singulis Punctis A Potentiis Quibuscunque Sollicitata, Leonhard Euler

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No abstract provided.


Nova Methodus Innumerabiles Aequationes Differentiales Secundi Gradus Reducendi Ad Aequationes Differentiales Primi Gradus, Leonhard Euler Dec 1731

Nova Methodus Innumerabiles Aequationes Differentiales Secundi Gradus Reducendi Ad Aequationes Differentiales Primi Gradus, Leonhard Euler

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No abstract provided.


De Linea Brevissima In Superficie Quacunque Duo Quaelibet Puncta Iungente, Leonhard Euler Dec 1731

De Linea Brevissima In Superficie Quacunque Duo Quaelibet Puncta Iungente, Leonhard Euler

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This article arose out of a homework assignment that Euler did for Johann Bernoulli. Bernoulli asked Euler to find the shortest line between two points on a surface. This work provided some of the first analytical foundations for the calculus of variations.


Problematis Traiectoriarum Reciprocarum Solutio, Leonhard Euler Dec 1728

Problematis Traiectoriarum Reciprocarum Solutio, Leonhard Euler

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This article contains Euler's first published use of complex numbers and a many-axis geometric construction. Euler also defines even functions f(x) as those for which f(x) = f(-x), perhaps the first use of this term.


Dissertatio De Novo Quodam Curvarum Tautochronarum Genere, Leonhard Euler Dec 1728

Dissertatio De Novo Quodam Curvarum Tautochronarum Genere, Leonhard Euler

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According to Eneström: "Intrigued by a clock invented by D. Sully, Euler busied himself with the construction of curves which cause a pendulum to swing isochronally."