 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...solidity^ is employed particularly to denote the measure of a solid ; thus we say that the solidity of a rectangular parallelopiped is equal to the product of its base by its altitude, or the product of its three dimensions. The three dimensions of a cube being equal to each... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...solidity] is employed particularly to denote the measure of a solid ; thus we say that the solidity of a rectangular parallelopiped is equal to the product of its base by its altitude, or the product of its three dimensions. The three dimensions of a cube being equal to each... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...solidity] is employed particularly to denote the measure of a solid ; thus we say that the solidity of a rectangular parallelopiped is equal to the product of its base by its altitude, or the product of its three dimensions. The three dimensions of a cube being equal to each... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...solidity* is employed particularly to denote the measure of a solid ; thus we say that the solidity of a rectangular parallelopiped is equal to the product of its base by its altitude, or the product of its three dimensions. The three dimensions of a cube being equal to each... | |
 | Anna Cabot Lowell - Geometry - 1846 - 216 pages
...product of its length and breadth is the area of the base, it may be expressed shortly ; The solidity of a rectangular parallelopiped is equal to the product of its base by its altitude. The altitude of a prism is a perpendicular let fall from one base to the other, or to the... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...these ratios together, P= a X 6 X c Q ~ m X n X p p \ \ \ \ p k \ X \ \ PROPOSITION XI.— THEOREM. 33. The volume of a rectangular parallelopiped is equal to the product of its three dimensions, the unit of volume being the cube whose edge is the linear unit. Let a, b, c, be... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...This fact gives rise to the term cube, as used in arithmetic and algebra, for " third power." 485. COR. 2. — The volume of a rectangular parallelopiped is equal to the product of its altitude into the area of its base, the linear unit being the same for the measure of all the edges.... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...Q m X n and multiplying these ratios together, P o B_ a X b P <~ = \ PROPOSITION XI.—THEOREM. 33. The volume of a rectangular parallelopiped is equal to the product of its three dimensions, the unit of volume being the cube whose edge is the linear unit. Let a, b, c, be... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...square whose side is of that length is the measure of area. VOLUME OF PARALLELOPIPEDS. 691. Theorem. — The volume of a rectangular parallelopiped is equal to the product of its length, breadth, and altitude. In the measure of the rectangle, the product of one line by another... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...2*RН, is the area of the convex surface of the cylinder. F1o. S9S. PROPOSITION X. 482* TJteorem. — The volume of a rectangular parallelopiped is equal to the product of the three edges of one of its triedrals. •4 DEM. — Let H.CBFE be a rectangular paral. lelopiped.... | |
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COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 
