 | Edward Olney - 1872 - 270 pages
...1.—The volume of a right prism is equal to the product of its edge into its base. £90. 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, prisms... | |
 | Benjamin Peirce - Geometry - 1873 - 202 pages
...area of a square is the square of one of its sides. 244. Corollary. Rectangles of the same altitude me to each other as their bases, and rectangles of the...altitudes. 245. Theorem. Any two parallelograms ABCD, JIBEF (fig. 128) of the same base and altitude are equivalent. Area or the Parallelogram and Triangle.... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...contents of the cylinder are equal to the product of its base by its altitude. 342. Cor. 1. Cylinders of the same altitude are to each other as their bases ; and cylinders of equal bases are to each other as their altitudes. (Theo. XXX. Bk. IV.), and the cylinders... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...contents of the cylinder are equal to the product of its base by its altitude. 342. Cor. 1. Cylinders of the same altitude are to each other as their bases ; and cylinders of equal bases are to each other as their altitudes. (Theo. XXX. Bk. IV.), and the cylinders... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...of a figure. A and a, B and b, C and c, are homologous, each to ab AB PROPOSITION I.—THEOREM. Two rectangles of the same altitude are to each other as their bases. tude AD; then will they be to each other as their bases AB and AF. First. Suppose the bases AB and... | |
 | Charles Scott Venable - 1881 - 380 pages
...triangles which have equal bases and equal altitudes are equivalent. PROPOSITION III. THEOREM. Two rectangles of the same altitude are to each other as their bases. Let ABCD, AEFD, be two rectangles which have AD for their common altitude : they will be to each other... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...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, prisms... | |
 | University of Colorado. Department of Psychology and Education - Education - 1902 - 588 pages
...rectangles of the sides which contain the equal angle; and conversely; (b) The areas of two triangles of the same altitude are to each other as their bases; and the areas of two triangles of the same base are to each other as their altitudes. We have in either... | |
 | University of Colorado. Department of Psychology and Education - Education - 1903 - 564 pages
...rectangles of the sides which contain the equal angle; and conversely; (b) The areas of two triangles of the same altitude are to each other as their bases; and the areas of two triangles of the same base are to each other as their altitudes. We have in either... | |
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Rectangles of the same altitude are to each other as their bases, and rectangles of the same base are to each other as their altitudes. 245. 
