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" AG, AK. The two solids AG, AQ having the same base AEHD, are to each other as their altitudes AB, AO. In like manner, the two solids AQ, AK having the same base AOLE, are to each other as their altitudes AD, AM. Hence we have the two proportions sol. "
Elements of Geometry and Trigonometry - Page 155
by Adrien Marie Legendre - 1838 - 269 pages
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Éléments de géométrie: avec des notes

Adrien Marie Legendre - Geometry - 1806 - 482 pages
...AQ, AK, ayant même base AOLE , sont entre eux comme leurs hauteurs AD, AM. Ainsi on aura les deux proportions, sol. AG : sol. AQ : : AB : AO, sol. AQ : sol. AK : : AD : AM. Multipliant ces deux proportions par ordre, et omettant , dans le résultat, le multiplicateur commun...
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Elementos de geometria, con notas

Adrien-Marie Legendre - Funciones de Legendre - 1807 - 372 pages
...tienen la misma base AOLE , estan entre sí como sus alturas AD, AM. Así tendremos las dos proporciones sol. AG : sol. AQ : : AB : AO. . sol. AQ : sol. AK : : AD : AM. Multiplicándolas ordenadamente , y omitiendo en el resultado el factor comun sol. AQ , tendremos sol....
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...compared with each of the parallelepipedons AG, AK. The two solids AG, AQ, having the same base AEHD, are to each other as their altitudes AB, AO ; in like...sol. AQ : : AB : AO, sol. AQ : sol. AK : : AD : AM. Multiply together the corresponding terms of those proportions, omitting in the result the common multiplier...
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Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...The two solids AG, AQ, having the same base AEHD are to each other as their altitudes AB, AO ; also the two solids AQ, AK, having the same base AOLE, are to each other as their altitudes AD, AM. Thus we have the two proportions solid AG : solid AQ : : AB : AO, solid AQ : solid AK :: AD : AM. Multiplying...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 276 pages
...AK. The two solids AG, AQ, having the same base AEHD are to each other as their altitudes AB,AO; also the two solids AQ, AK, having the same base AOLE, are to each other as their altitudes AD, AM. Thus we have the two proportions solid AG : solid AQ : : AB : AO, solid AQ : solid AK ::AD: AM. Multiplying...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...compared with each of the parallelepipedons AG, AK. The two solids AG, AQ, having the same base AEHD are to each other as their altitudes AB, AO ; in like...AM. Multiplying together the corresponding terms of those proportions, and omitting in the result the common multiplier sol. AQ ; we shall have sol. AG...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...compared with each of the parallelopipedons AG, AK. The two solids AG, AQ, having the same base AEHD are to each other as their altitudes AB, AO ; in like...manner, the two solids AQ, AK, having the same base H z A B AOLE, are to each other as their altitudes AD, AM. Hence we have the two proportions, sol AG...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 288 pages
...The two solids AG, AQ, having the same base AEHD are to each other as their altitudes AB, AO ; also the two solids AQ, AK, having the same base AOLE, are to each other as their altitudes AD, AM. Thus we have the two proportions solid AG : solid AQ::AB: AO, solid AQ : solid AK ::AD: AM. Multiplying...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 268 pages
...with each of the parallelopipedons AG, AK. The two solids AG, AQ, having the same base E H B C AEHD, are to each other as their altitudes AB, AO ; in like...altitudes AD, AM. Hence we have the two proportions, V VL ^ \ F M V \ N 0V A ^ » ] ^ f\ BOOK VII. Multiplying together the corresponding terms of those...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...compared with each of the parallelopipedons AG, AK. The two solids AG, AQ, having the same tase AEHD are to each other as their altitudes AB, AO ; in like...AM. Multiplying together the corresponding terms of those proportions, and omitting in the result the common multiplier sot. AQ; we shall have u £ ^ \...
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