 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...altitude, the products of the bases by the altitudes will be as the bases (Prop. IX. Bk. II.) ; hence, prisms of the same altitude are to each other as their bases. For a like reason, prisms of the same base are to each other as their altitudes. PROPOSITION XIV. — THEOREM. 47G. Similar... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...altitude, the products of the bases by the altitudes will be as the bases (Prop. IX. Bk. II.) ; hence, prisms of the same altitude are to each other as their bases. For a liko reason, prisms of the same base are to each other as their altitudes. PROPOSITION XIV. — THEOREM.... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...products of the bases by the altitudes will be as the bases (Prop. IX. Bk. II.) ; hence, prisms of ike same altitude are to each other as their bases. For a like reason, prisms of the same base are to each other as their altitudes. PROPOSITION Х1Л7". — THEOREM. 476.... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...altitude, the products of the bases by the altitudes will be as the bases (Prop. IX. Bk. II.) ; hence, prisms of the same altitude are to each other as their bases. For a like reason, prisms of the same base are to each other as their altitudes. PROPOSITION XIV. — THEOREM. 476. Similar... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...altitude, the products of the bases by the altitudes will be as the bases (Prop. IX. Bk. II.) ; hence, prisms of the same altitude are to each other as their bases. For a like reason, prisms of the same base are to each other as their altitudes. PROPOSITION XIV. — THEOREM. 476. Similar... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...altitude, the products of the bases by the altitudes, will be as the bases (Prop. VIII., B. II.) ; hence prisms of the same altitude are to each other as their bases. For the same reason, prisms of the same base are to each other as their altitudes ; and prisms generally... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...— The volume of a right prism is equal to the product of Us edge into its base. 400. COK. 2. — Prisms of the same altitude are to each other as their bases ; and prisms of the same or equivalent bases are to each other as their altitudes; and, in general,... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...COR. 1. — The volume of a right prism is equal to the product of its edge into its 400, COR. 2. — Prisms of the same altitude are to each other as their bases ; and prisms of the same or equivalent bases are to each other as their altitudes; and, in general,... | |
 | Charles Scott Venable - 1881 - 380 pages
...ABCD. COR. Parallelograms of the same base are to each other as their altitudes, and parallelograms of the same altitude are to each other as their bases : for, A, B, C being any three magnitudes, we have, generally, AxC :BxC :: A : B. PROPOSITION VI. THEOREM. The... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...The volume of a right prism is equal to the product of its edge into its base. 594. COROLLARY 2. — Prisms of the same altitude are to each other as their bases ; and prisms of the same or equivalent bases are to each other as their altitudes ; and, in general,... | |
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... bases simply : hence two prisms of the same altitude are to each other as their bases. For a like reason, two prisms of the same base are to each other as their altitudes. 
