 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...226. Cor. Parallelograms having equal bases are to each other as their altitudes, and parallelograms having equal altitudes are to each other as their bases ; and, in general, parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION VI.... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...226. Cor. Parallelograms having equal bases are to each other as their altitudes, and parallelograms having equal altitudes are to each other as their bases ; and, in general, parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION VI.... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...226. Cor. Parallelograms having equal bases are to each other as their altitudes, and parallelograms having equal altitudes are to each other as their bases ; and, in general, parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION VI.... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...226. Cor. Parallelograms having equal bases are to each other as their altitudes, and parallelograms having equal altitudes are to each other as their bases ; and, in general, parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION VI.... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...522. COR. 2. — Pyramids having equivalent bases are to each other as their altitudes; such as have equal altitudes are to each other as their bases; and, in general, pyramids are to each other as the products of their bases and altitudes. ELEMENTARY SOLID GEOMETRY.... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...522. COR. 2. — Pyramids having equivalent bases are to each other as their altitudes; such as have equal altitudes are to each other as their bases; and, in general, pyramids are to each other as the products of their bases and altitudes. ELEMENTARY SOLID GEOMETRY.... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...188. Cor. Parallelograms having equal bases are to each other as their altitudes, and parallelograms having equal altitudes are to each other as their bases ; and, in general, parallelograms are to each other as the products of their bases by their altitudes. THEOREM VI. 189.... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...188. Cor. Parallelograms having equal bases are to each other as their altitudes, and parallelograms having equal altitudes are to each other as their bases; and, in general, parallelograms are to each other as the products of their bases by their altitudes. THEOREM VI. 189.... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...QED 325. COROLLARY 1. Triangles having equal bases and equal altitudes are equivalent. 326. COR. 2. Triangles having equal bases are to each other as...having equal altitudes are to each other as their bases ; any two triangles are to each other as the product of their bases by their altitudes. PROPOSITION... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...triangle is equal to one half of the product of BC by AD. Therefore the area of a triangle, etc. Cor. 1. Triangles having equal altitudes are to each other as their bases, and triangles having equal bases are to each other as their altitudes. Cor. 2. Equivalent triangles whose... | |
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... triangles are to each other as the products of their bases by their altitudes. 
