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" The volume of a triangular prism is equal to the product of its base by its altitude. "
Mensuration of lines, surfaces, and volumes - Page 59
by David Munn - 1873
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - Geometry - 1807 - 408 pages
...457 431 Therefore vol. P = axbx c. QED 459. COH. 1. — Since a X b is the area of the base, Then the volume of a rectangular parallelepiped is equal to the product of its base and altitude. 4CO. COR. 2. — The volume of a cube is equal to the cube of its edge. For, if...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 432 pages
...square whose side is of that length is the measure of area. VOLUME OF PARALLELOPIPEDS. 691. Theorem — The volume of a rectangular parallelepiped is equal to the product of its length, breadth, and altitude. In the measure of the rectangle, the product of one line by another...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
... X 6 X c Q ~ m X n Xp PROPOSITION XI.— THEOREM. 33. The volume of a rectangular parallelopiped is equal to the product of its three dimensions, the...the cube whose edge is the linear unit. Let a, b, c, be the three dimensions of the rectangular parallelopiped P; and let Q be the cube whose edge is...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...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...the cube whose edge is the linear unit. Let a, b, c, be the three dimensions of the rectangular parallelopiped P; and let Q be the cube whose edge is...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...XI.— THEOREM. 33. The volume of a rectangular parallelopiped is equal to the produet of its tliree dimensions, the unit of volume being the cube whose edge is the linear unit. Let a, b, c, be the three dimensions of the rectangular parallelopiped P; and let Q be the cube whose edge is...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...2ffRH, is the area of the convex surface of the cylinder. Flo. 2fl6. PROPOSITION X. 483. Theorem. — The volume of a rectangular parallelepiped is equal to the product of the three edges of one of its triedrah. DEM.— Let H-CBFE be a rectangular parallelopiped. 1st. Suppose...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1875 - 466 pages
...prop \ \ \ s \ X K ! P ! \ \ PR01HXS1TIOX XI.—THEOREM. 33. The volume of a redangulur parallelopiped is equal to the product of its three dimensions, the unit of volume being Ihe, cube whose edge is the linear unit. Let a, b, c, be the three dimensions of the rectangular purallelopiped...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...P* \ Ч Q Ч a С'' \ \ k \ PROPOSITION X. THEOREM. 538. The volume of a rectangular parallelopiped is equal to the product of its three dimensions, the unit of volume being a cube whose edge is the linear unit. . Let a, b, and с be the three dimensions of the rectangular...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 426 pages
...of its edge. 540. COR. II. The product a X b represents the base when с is the altitude ; hence : The volume of a rectangular parallelepiped 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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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...of its edge. 540. -Сок. II. The product a X b represents the base when с is the altitude; hence: The volume of a rectangular parallelepiped is equal to the product of us base by its altitude. 541. SCHOLIUM. When the three dimensions of the rectangular parallelopiped...
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