| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...altitudes AB, A 0 (Prop. X.) ; in like manner, the two solids AQ, AK, having the same base, A 0 LE, **are to each other as their altitudes AD, AM. Hence we have the two proportions,** Solid AG : Solid AQ : : AB : A 0, Solid AQ : Solid AK : : AD : A M. Multiplying together the corresponding... | |
| Charles Davies - Geometry - 1864 - 330 pages
...their altitudes AE, AX ; hence, we have ABCD E AMNO N \ ~G solid AK : solid AZ : : AE : AXMultiplying **together the corresponding terms of these proportions, and omitting in the result the common** multiplie1 solid AK, we shall have solid AG : solid AZ : : ABCDxAE : AMNO x AXInstead of the bases... | |
| Benjamin Greenleaf - Geometry - 1866 - 328 pages
...Hence we have the two proportions, Solid AG : Solid AQ : : AB : A 0, Solid AQ : Solid AK : : AD : A M. **Multiplying together the corresponding terms of these...proportions, and omitting, in the result, the common** factor Solid AQ, we shall have, Solid AG : Solid AK ::AB X AD : AO X AM. But ABXAD measures the base... | |
| C. Davies - 1867 - 342 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 as their altitudes AD,** AMHence, we have the two proportions, solid AG : solid AQ : : AB : AO, solid AQ : solid AK : : AD :... | |
| Benjamin Greenleaf - 1869 - 516 pages
...altitudes AB, A 0 (Prop. X.) ; in like manner, the two solids AQ, AK, having the same base, A 0 LE, **are to each other as their altitudes AD, AM. Hence we have the two proportions,** Solid AG : Solid AQ : : AB : A 0, Solid AQ : Solid AK : : AD : A M. Multiplying together the corresponding... | |
| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...base, AEHD, are to each other as their altitudes A JB, AO (Theo. XII.) ; in like manner, the two solids **AQ, AK, having the same base, AOLE, are to each other as their altitudes AD,** A M. Hence we have the two proportions, Solid AG : Solid AQ : : AB : AO, Solid AQ : Solid AK : : AD... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...base, AEHD, are to each other as their altitudes AB, AO (Theo. XII.) ; in like manner, the two solids **AQ, AK, having the same base, AOLE, are to each other as their altitudes AD,** A M. Hence we have the two proportions, Solid AG : Solid AQ : : AB : AO, Solid AQ : Solid AK : : AD... | |
| Charles Scott Venable - 1881 - 380 pages
...have the two propor'"I, : AB AD AO, AM. 230 Multiplying together the corresponding terms of these two **proportions, and omitting in the result the common multiplier, Sol. AQ, we** have sol. AG : sol. AK : : AB x AD : AO x AM. But AB x AD represents the base A BCD, and AO x AM represents... | |
| Charles Davies - Geometry - 1886 - 346 pages
...having the same base AEHD, are to cacl1 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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