 | Charles Hutton - 1812 - 620 sider
...are the proper numeral measures of their quantities or magnitudes. THEOUEM CXI. Similar Prisms and Cylinders are to each other, as the Cubes of their Altitudes, or of any other Like Linear Dimensions. LET ABCD, F.FGH, be two similar prisms ; then will the prism CD... | |
 | Adrien Marie Legendre - 1819 - 574 sider
...cylinders of the same base are to each other as their altitudes. 518. CoroUary H. Similar cylinders arc to each other as the cubes of their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of their diameters ; and, since the cylinders are similar,... | |
 | Adrien Marie Legendre - 1825 - 570 sider
...their bases, and cylinders of the same base are to each other as their altitudes. 5 1 8. Corollary H. Similar cylinders are to each other as the cubes of...their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of their diameters; and, since the cylinders are similar,... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 sider
...their bases, and cylinders of the same base are to each other as their altitudes. 518. Corollary n. Similar cylinders are to each other as the cubes of...their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of rheir diameters ; and, since the cylinders are similar,... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 sider
...their bases, and cylinders of the same base are to each other as their altitudes. 518. Corollary n. Similar cylinders are to each other as the cubes of...their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of their diameters ; and, since the cylinders are similar,... | |
 | Adrien Marie Legendre - 1825 - 276 sider
...cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of their diameters; and, since the cylinders are similar, the diameters of the bases are as the altitudes (510); consequently... | |
 | Olinthus Gregory - 1834 - 484 sider
...these products are the proper numeral measures of their quantities or magnitudes. 7. Similar prisms and cylinders are to each other aS the cubes of their altitudes, or of any like linear dimensions. 8. In any pyramid a section parallel to the base is similar to the base... | |
 | Adrien Marie Legendre - 1836 - 394 sider
...other as tKeir bases ; and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders are to each other as the cubes of...cylinders being similar, the diameters of their bases are to each other as the altitudes (Def. 4.) ; hence the bases are as the squares of the altitudes... | |
 | Adrien Marie Legendre - 1837 - 376 sider
...and cylinders of the same base are to each other as their altitudes. Cor. 2. Similar cylinders arc to each other as the cubes of their altitudes, or as...cylinders being similar, the diameters of their bases are to each other as the altitudes (Def. 4.) ; hence the bases are as the squares of the altitudes... | |
 | Adrien Marie Legendre - 1841 - 288 sider
...their bases, and cylinders of the same base are to each other as their altitudes. 518. Corollary n. Similar cylinders are to each other as the cubes of...their altitudes, or as the cubes of the diameters of the bases. For the bases are as the squares of their diameters ; and, since the cylinders are similar,... | |
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Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases. 
