 COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude.  Solid Geometry - Page 359by Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 188 pagesFull view - About this book
 | Edward Olney - Geometry - 1877 - 272 pages
...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 Frothingham Bradbury - Geometry - 1880 - 260 pages
...cubical unit taken as a standard, as the product of its base by its altitude is to unity ; therefore the volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 36i Cor. 2. As the area of a rectangle is equal to the product of its two dimensions,... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...TT =; - r - = - i --- QED* Q abo ax6xc — - x Iff ^ x. - x - • PROPOSITION XI. 588. Theorem. — The volume of a rectangular parallelopiped is equal to the product of its three adjacent edges. DEMONSTRATION. Let P be any rectangular parallelopiped whose adjacent edges are A,... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...parallelopiped is equal to a rectangular parallelopiped having an equal base and the same altitude. THEOREM IV. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. Let MN be a rectangular parallelo- ,. ^ piped whose edges are c, d and a; then... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...rise to the term cube, as used in arithmetic and algebra, for " third power." 591. COROLLARY 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 its edges.... | |
 | George Albert Wentworth - Geometry - 1884 - 422 pages
...these equalities together ; aХbХс then P P' a'XVX GEOMETRY. BOOK VII. PROPOSITION X. THEOREM. 538. The volume of a rectangular parallelopiped is equal to the product of г f« three dimensions, the unit of volume being a cube whose edge is the linear unit. Let a, b, and... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...is called the altitude, of the parallelopiped, this proposition may also be expressed as follows : The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 31. Scholium II. When the three dimensions of the parallelopiped are each exactly... | |
 | Webster Wells - Geometry - 1886 - 166 pages
...altitude and a X 6 the area of the base of the parallelopiped P, the theorem may be expressed.: 17>e volume of a -rectangular parallelopiped is equal to the product of its base and altitude. 543. SCHOLIUM II. When the edges of III /_TX__,l_^x'_ / / the rectangular parallelopiped... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...is the altitude, of the parallelopiped P; therefore the above result may be expressed in the form : The volume of a rectangular parallelopiped is equal to the product of its base and altitude. 609. COR. 2. The volume of a cube is the third power of its edge, being the product... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...c, and Q, the unit of volume. To prove P = aZ>c. Proof By §169, ? = P - = 2^, QED 171. Con. 1. TIie volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 172. COR. 2. The volume of a cube is the cube of its edijt. 52. A pyramid 22... | |
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