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Display information for equation id:math.1256.134 on revision:1256
* Page found: Das d'Alembertsche Prinzip (eq math.1256.134)
(force rerendering)Occurrences on the following pages:
Hash: c93d9e402f764b08bc24c3469dbe1e9e
TeX (original user input):
\begin{align}
& T=\frac{1}{2}m({{{\dot{x}}}^{2}}+{{{\dot{y}}}^{2}}) \\
& x=({{R}_{o}}-ct)\cos \phi \\
& \dot{x}=-c\cos \phi -({{R}_{o}}-ct)\dot{\phi }\sin \phi =-c\cos q-({{R}_{o}}-ct)\dot{q}\sin q \\
& y=({{R}_{o}}-ct)\sin \phi \\
\end{align}
TeX (checked):
{\begin{aligned}&T={\frac {1}{2}}m({{\dot {x}}^{2}}+{{\dot {y}}^{2}})\\&x=({{R}_{o}}-ct)\cos \phi \\&{\dot {x}}=-c\cos \phi -({{R}_{o}}-ct){\dot {\phi }}\sin \phi =-c\cos q-({{R}_{o}}-ct){\dot {q}}\sin q\\&y=({{R}_{o}}-ct)\sin \phi \\\end{aligned}}
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MathML (experimentell; keine Bilder) rendering
MathML (2.468 KB / 444 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>T</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>m</mi><mo stretchy="false">(</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>y</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mi>x</mi><mo>=</mo><mo stretchy="false">(</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo>−</mo><mi>c</mi><mi>t</mi><mo stretchy="false">)</mo><mi>cos</mi><mo>⁡</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>x</mi><mo>˙</mo></mover></mrow></mrow><mo>=</mo><mo>−</mo><mi>c</mi><mi>cos</mi><mo>⁡</mo><mi>ϕ</mi><mo>−</mo><mo stretchy="false">(</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo>−</mo><mi>c</mi><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ϕ</mi><mo>˙</mo></mover></mrow></mrow><mi>sin</mi><mo>⁡</mo><mi>ϕ</mi><mo>=</mo><mo>−</mo><mi>c</mi><mi>cos</mi><mo>⁡</mo><mi>q</mi><mo>−</mo><mo stretchy="false">(</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo>−</mo><mi>c</mi><mi>t</mi><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>q</mi><mo>˙</mo></mover></mrow></mrow><mi>sin</mi><mo>⁡</mo><mi>q</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>y</mi><mo>=</mo><mo stretchy="false">(</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mi>o</mi></mrow></msub><mo>−</mo><mi>c</mi><mi>t</mi><mo stretchy="false">)</mo><mi>sin</mi><mo>⁡</mo><mi>ϕ</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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