 | Webster Wells - Geometry - 1899 - 424 pages
...parallelograms having equal bases are to each other as their altitudes. 3. Any two parallelograms are to each other as the products of their bases by their altitudes. PROP. V. THEOREM. 312. The area of a triangle is equal to one-half the product of its base and altitude.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...volumes of the triangular pyramids equals the volume of the given pyramid. 595. COR. 2. The volumes of two pyramids are to each other as the products of their bases and altitudes. 596. COE. 3. Pyramids having equivalent bases are to each other as their altitudes,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...altitude a. But the sum of the bases of the triangular prism equals B. .:V=Bxa. 570. COR. 1. Prisms are to each other as the products of their bases by their altitudes. 572. COR. 3. Prisms that have equal altitudes are to each other as their bases. 573. COK. 4. Prisms... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...regarded as bases, and their bases as altitudes. PROPOSITION III. — THEOREM. Any two rectangles are to each other as the products of their bases by their altitudes. Given. — Let R and R' represent two rectangles whose bases are respectively 6 and b', and altitudes... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...volumes of the triangular pyramids equals the volume of the given pyramid. 595. COR. 2. The volumes of two pyramids are to each other as the products of their bases and altitudes. 596. COR. 3. Pyramids having equivalent bases are to each other as their altitudes,... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...altitudes; triangles having equal altitudes are to each other as their bases; any two triangles are to each other as the products of their bases by their altitudes. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to... | |
 | Education - 1902 - 880 pages
...perpendicular to a chord bisects the chord and its subtended arc. 4 Prove that the areas of two rectangles are to each other as the products of their bases by their altitudes. 5 Prove that two regular polygons of the same number of sides are similar. Second 6 The base of a triangle... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...multiplied by their common altitude, H. § 651 That is, F = $B X H. Q . E . D . 653. COR. 1. The volumes of two pyramids are to each other as the products of their bases and altitudes ; pyramids of equivalent bases are to each other as their altitudes, and of equal altitudes... | |
 | Education - 1902 - 780 pages
...perpendicular to a chord bisects the chord and its subtended arc. 4 Prove that the areas of two rectangles are to each other as the products of their bases by their altitudes. 5 Prove that two regular polygons of the same number of sides are similar. Second 6 The base of a triangle... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...; two triangles having equal bases are to each other as their altitudes ; and any two triangles are to each other as the products of their bases by their altitudes. 200. Corollary 111. A triangle is equivalent to one-half a parallelogram having the same base and altitude.... | |
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... pyramids are to each other as the products of their bases by their altitudes. 
