Page:Becquerel - Exposé élémentaire de la théorie d’Einstein et de sa généralisation.djvu/210

p. 148, équation 10-14

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Proposition actuelle

(10-14)

${\begin{array}{|c|}\hline {\dfrac {d}{dt}}\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dx}{dt}}\right)=\mathrm {F_{x}} ,\;\;{\dfrac {d}{dt}}\left({\frac {m_{0}}{\alpha }}{\dfrac {dy}{dt}}\right)=\mathrm {F_{y}} ,\;\;{\dfrac {d}{dt}}\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dz}{dt}}\right)=\mathrm {F_{z}} ,\\\hline \end{array}}$

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Proposition F0x1, n^o 1

(10-14)

${\begin{array}{|c|}\hline {\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dx}{dt}}\right)=\mathrm {F} _{x},\;\;{\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dy}{dt}}\right)=\mathrm {F} _{y},\;\;{\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dz}{dt}}\right)=\mathrm {F} _{z}\\\hline \end{array}}$

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Proposition F0x1, n^o 2

(10-14)

${\begin{array}{|c|}\hline {\begin{aligned}{\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dx}{dt}}\right)&=\mathrm {F} _{x},&{\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dy}{dt}}\right)&=\mathrm {F} _{y},\\&&{\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dz}{dt}}\right)&=\mathrm {F} _{z}\end{aligned}}\\\hline \end{array}}$

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Proposition F0x1, n^o 3

(10-14)

${\begin{array}{|c|}\hline {\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dx}{dt}}\right)=\mathrm {F} _{x},\;\;{\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dy}{dt}}\right)=\mathrm {F} _{y},\;\;{\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dz}{dt}}\right)=\mathrm {F} _{z}\\\hline \end{array}}$

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Proposition Fabrice Dury

(10-14)

${\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dx}{dt}}\right)=\mathrm {F} _{x},\;$ ${\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dy}{dt}}\right)=\mathrm {F} _{y},\;$ ${\dfrac {d}{dt}}\!\left({\dfrac {m_{0}}{\alpha }}{\dfrac {dz}{dt}}\right)=\mathrm {F} _{z},\;$

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