 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...contents of the cylinder are equal to the product of its base by its altitude. 576. 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. 577. Cor. 2. Similar cylinders are to... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...contents of the cylinder are equal to the product of its base by its altitude. 576. 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. 577. Cor. 2. Similar cylinders are to... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...contents of the cylinder are equal to the product of its base by its altitude. 576. 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. 577. Cor. 2. Similar cylinders are to... | |
 | Charles Davies - Geometry - 1864 - 358 pages
...product : that is, to half the product of AB x CDCor Two triangles of the same altitude are to each olher as their bases ; and two triangles of the same base are to each other as their altitudes- And generally, triangles are to each other as the products of their bases and altitudesTHEOREM Xi *: The... | |
 | C. Davies - 1867 - 342 pages
...the area of the tri angle is equal to half this product : that is, to half the product of AB x CDCor Two triangles of the same altitude are to each other...same base are to each other as their altitudes- And generally, triangles are to each other as the products of their bases and altitudesTHEOREM XThe area... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...altitude ; and the two triangles ADE, CDE, on the bases AE, EC, have also the same altitude ; and because triangles of the same altitude are to each other as their bases, therefore • the triangle ADE : BDE : : AD : DB, and triangle ADE : CDE : : AE : EC. But BDE is =... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...contents of the cylinder are equal to the product of its base by its altitude. 576. 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. 577. Cor. 2. Similar cylinders are to... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...triangle is equal to one half of the product of BC by AD. Therefore, the area of a triangle, &c. Cor. 1. Triangles of the same altitude are to each other as their bases, and triangles of the same base are to each other as their altitudes. equal altituiej ; and equivalent triangles,... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...— 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, prisms... | |
 | Herbert Spencer - Psychology - 1872 - 670 pages
...in which a bulk is to a bulk as a weight to a weight — cases like those in which it is seen that triangles of the same altitude are to each other as their bases, or that the amounts of two attractions are to each other as the masses of the attracting bodies. Here... | |
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Two triangles of the same altitude are to each other as their bases, and two triangles of the same base are to each other as their altitudes. And triangles generally, are to each other, as the products of their bases and altitudes. 
