On the fundamental formulae of dynamics. (Q1552510)
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scientific article; zbMATH DE number 2710247
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the fundamental formulae of dynamics. |
scientific article; zbMATH DE number 2710247 |
Statements
On the fundamental formulae of dynamics. (English)
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1879
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Der Verfasser ersetzt die Gleichung \[ \varSigma \left[\left(X-m\;\frac{d^2 x}{dt^2} \right) \delta x +\left(Y-m \;\frac{d^2 y}{dt^2} \right) \delta y+ \left(Z-m\;\frac{d^2 z}{dt^2} \right) \delta z \right] =0 \] durch \[ \varSigma \left[\left(X-m\;\frac{d^2 x}{dt^2} \right)\;\delta\;\frac{d^2 x}{dt^2} +\left(Y-m\;\frac{d^2 y}{dt^2}\right)\;\delta\;\frac{d^2 y}{dt^2} +\left(Z-m\;\frac{d^2 z}{dt^2} \right)\;\delta\;\frac{d^2 z}{dt^2}\right] \leqq 0 \] und bespricht dieselbe in ihrem Verhältnis zu den sonstigen Fundamentalgleichungen der Dynamik, sowie ihre Transformationen und Anwendbarkeit.
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