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" 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 Translated from the French of A.M ... - Page 151
by Charles Davies - 1849 - 359 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1839 - 372 pages
...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...result the common multiplier sol. AQ ; we shall have so/.AG : sol. AK : : ABxAD : AOxAM. But AB x AD represents the base ABCD ; and AO x AM represents the...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...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

Geometry - 1843 - 404 pages
...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...terms of these proportions, and omitting in the result ths common multiplier sol. AQ ; we shall have sol.AG : so/.AK : : ABxAD : AOxAM. But AB x AD represents...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...same base E H B C 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...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 - 896 pages
...having the same tase 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...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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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...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...proportions sol. AG : sol. AQ : : AB : AO ; sol. AQ ; sol.'AK : : AD : AM. Multiply together the corresponding terms of these proportions, omitting in...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...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...sol. AQ : : AB : AO; sol. AQ : sol. AK : : AD : AM. Multiply together the corresponding terms of these proportions, omitting in the result the common multiplier...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...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...altitudes AD, AM. Hence, we have the two proportions, solid AG : solid AQ : : AB i AO, solid AQ : solid AK : : AD : AM. Multiplying together the corresponding...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 236 pages
...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...altitudes AD, AM. Hence, we have the two proportions, solid AG : solid AQ : : AB : AO, solid AQ : solid AK : : AD : AM. Multiplying together the corresponding...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...base NA, are to each other as their altitudes AE, AX] hence, we have, sol AK : sol. AZ :: AE : AX. Multiplying together the corresponding terms of these...omitting in the result the common multiplier sol. AK] we shall have, sol AG : solAZ :: ABCDxAE : AMNOxAX. Instead of the bases ABCD and AMNO, put ABxAD...
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