 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 £ ^ \... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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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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. 
