 | William Chauvenet - 1871 - 380 σελίδες
...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. 35. Sclwlium II. When the three dimensions of the parallelopiped are each exactly... | |
 | William Chauvenet - 1872 - 382 σελίδες
...c 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. 35. Scholium II. When the three dimensions of the parallelopiped are each exactly... | |
 | Edward Olney - 1872 - 562 σελίδες
...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.... | |
 | Eli Todd Tappan - 1873 - 288 σελίδες
...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 - 1872 - 472 σελίδες
...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.... | |
 | Aaron Schuyler - 1876 - 384 σελίδες
...\f\ *\ \ s s \ \p \ s \ \ s \ \ s x)_J \ \ V \ P- \ \ \, \ GEOMETRY.— BOOK VI. 395. Corollaries. 1. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. For, let b denote the base ; then, b = o X d; .-. P — b X a. 2. The volume... | |
 | Edward Olney - 1876 - 354 σελίδες
...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.... | |
 | George Albert Wentworth - 1877 - 426 σελίδες
...\ \ c' P' \ ч d Q \ с k a, \ ь \ al \ К a \ -, GEOMETRY. BOOK VII. PROPOSITION X. THEOREM. 538. The volume of a rectangular parallelopiped is equal to the product of its three dimensions, the unit of volume bein g a cube whose edye is the linear unit. Let a, b, and с be the... | |
 | William Frothingham Bradbury - 1877 - 262 σελίδες
...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. 36. Cor. 2. As the area of a rectangle is equal to the product of its two dimensions,... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...power of its edge. 540. COR. II. The product a X 6 represents the base when c is the altitude ; hence : The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 541. SCHOLIUM. When the three dimensions of the rectangular parallelopiped are... | |
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COR. 2. The volume of a rectangular parallelopiped is equal to the product of its base by its altitude. 
