 | William Chauvenet - 1871 - 380 σελίδες
...number" has been adopted to signify the " third power of a number." PROPOSITION XII— THEOREM. 37. The volume of any parallelopiped is equal to the product of its base by its altitude. Let ABCD-A' be any oblique parallelopiped, whose base is ABCD, and altitude B' O. 0' Produce... | |
 | Eli Todd Tappan - 1873 - 288 σελίδες
...of its edge. Thence comes the name of cube, to designate the third power of a number. MODEL CUBES. 694. Draw six equal squares, as in the diagram. Cut...parallelopiped is equal to the product of its base by its altitude. GOO. Corollary. — The volumes of any two parallelopipeds are to each other as the products... | |
 | William Chauvenet - 1872 - 382 σελίδες
...number" has been adopted to signify the " third power of a number." ' ''PROPOSITION XII.—THEOREM. 37. The volume of any parallelopiped is equal to the product of its base by its altitude. Let ABCD-A' be any oblique parallelopiped, whose base is ABCD, and altitude B'O. Produce... | |
 | Edward Olney - 1872 - 562 σελίδες
...area of its base, the linear unit being the same for the measure of all the edges. 486. COR. 3. — The volume of any parallelopiped is equal to the product of its altitude and the area of its base. For any parallelopiped is equivalent to a rectangular parallelopiped... | |
 | Edward Olney - 1872 - 472 σελίδες
...area of its base, the linear unit being the same for the measure of all the edges. 486. COR. 3. — The volume of any parallelopiped is equal to the product of its altitude and the area of its base. For any parallelopiped is equivalent to a rectangular parallelopiped... | |
 | Aaron Schuyler - 1876 - 384 σελίδες
...the tliird power of its edge. For, if d = c = a, P— aXaXa = a3. 396. Proposition XIII. — Theorem. The volume of any parallelopiped is equal to the product of its base by its altitude. Let P denote the volume ; b, the base ABCD; a, the altitude HR of the parallelopiped ABCDF,... | |
 | William Frothingham Bradbury - 1877 - 262 σελίδες
...equivalent rectangular parallelopiped is equal to the product of its base by its altitude (35) ; therefore the volume of any parallelopiped is equal to the product of its base by its altitude. 2d. A triangular prism is half of a parallelopiped which has the same altitude and a base... | |
 | George Albert Wentworth - 1877 - 416 σελίδες
...divides it into two equivalent triangular prisms), and AEC=\ AECD. §133 But A EC DE' = 2 BXH, §542 (the volume of any parallelopiped is equal to the product of its base by Us altitude). XH = BX H. CASE II. — When the base is a polygon of more than three sides. Planes passed... | |
 | George Albert Wentworth - 1877 - 436 σελίδες
...1 / / / ' / ' y ' , / { p / / ,_ , f ' /W^\ 1/7 / / (1 / A / PÜISMS. PROPOSITION XL THEOREM. 542. The volume of any parallelopiped is equal to the product of its base b1 its altitude. G ' II — W- V-« К BJ Let AB С DF be a parallelopiped having all its faces... | |
 | William Henry Harrison Phillips - 1878 - 236 σελίδες
...that any two parallelopipeds having equal altitudes are to each other as their bases. VI. Theorem. Any two parallelopipeds are to each other as the products of their bases by their altitudes. HYPOTII. P and p are two parallelopipeds whose bases are B and &, and whose... | |
| |
The volume of any parallelopiped is equal to the product of its base by its altitude. 
