Two prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes; prisms having equal altitudes are to each other as their bases ; prisms having equivalent bases and equal... Elements of Geometry: Plane and Solid - Page 272by John Macnie - 1895 - 374 pagesFull view - About this book
| Webster Wells - Geometry - 1886 - 392 pages
...altitude. 548. COROLLARY. Two prisms having equivalent bases are to each other as their altitudes ; two **prisms having equal altitudes are to each other as their bases ; and** any two prisms are to each other as the products of their bases by their altitudes. Two prisms having... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...of their bases, or the base of the given prism, multiplied by the common altitude. 613. COR. 2. Two **prisms are to each other as the products of their bases and altitudes;** two prisms having equivalent bases are to each other as their altitudes ; two prisms of the same altitude... | |
| William C. Bartol - Geometry, Solid - 1893 - 106 pages
...accordingly the theorem of (90) must be true alike for the prism and for the cylinder (88). 92. COROLLARY 2. **Prisms are to each other as the products of their bases and altitudes.** When the altitudes are equal) the prisms are to each other as their bases. When the bases are equal,... | |
| George Albert Wentworth - Mathematics - 1896 - 68 pages
...582. Cor. The volumes of two prisms are to each other as the products of their bases and altitudes ; **prisms having equivalent bases are to each other as...having equal altitudes are to each other as their bases** ; prisms having equivalent bases and equal altitudes are equivalent. 596. The lateral area of a regular... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...COR. I. Two prisms having equivalent bases and equal altitudes are equivalent. 678. COR. II. Any two **prisms are to each other as the products of their bases and altitudes.** Hint. — Prove as in § 387. 67.9. COR. III. Two prisms having equivalent bases are to each other... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...COR. I. Two prisms having equivalent bases and equal altitudes are equivalent. 643. COR. II. Any two **prisms are to each other as the products of their bases and altitudes.** Hint.— Prove as in ^ 368. H44. COR. III. Two prisms having equivalent bases are to each other as... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 490 pages
...of any prism ? Write the general truth, and call it Prop. XII. 493. Cor. Can you show that any two **prisms are to each other as the products of their bases and altitudes** ? Compare two prisms having equivalent bases. Compare two prisms having — altitudes. In figure Prop.... | |
| George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...V=BXH. QED 629. COR. Two prisms are to each other as the products of their bases by their altitudes ; **prisms having equivalent bases are to each other as...having equal altitudes are to each other as their bases** ; prisms having equivalent bases and equal altitudes are equivalent. PROBLEMS OF COMPUTATION. Ex. 643.... | |
| George Albert Wentworth - Geometry - 1899 - 500 pages
...o. E . D . 629. COR. Two prisms are to each other as the products of their bases by thnr altitudes; **prisms having equivalent bases are to each other as...equal altitudes are to each other as their bases;** prisms having equivalent bases and equal altitudes are equivalent. PROBLEMS OF COMPUTATION. Ex. 643.... | |
| George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...BX H. QED 629. COR. Two prisms are to each other as the products of their bases by their altitudes; **prisms having equivalent bases are to each other as...equal altitudes are to each other as their bases;** prisms having equivalent bases and equal altitudes are equivalent. PROBLEMS OF COMPUTATION. Ex. 643.... | |
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