 | George Albert Wentworth - Geometry - 1877 - 416 pages
...polyhedrons are to each other as the cubes of any two homologous edges. ยง 266 590. COR. 2. Similar prisms or pyramids are to each other as the cubes of their altitudes ; and similar polyhedrons are to each other as the cubes of any two homologous lines. Ex. 1. The portion... | |
 | Encyclopedias and dictionaries - 1920 - 934 pages
...polyhedrons are to each other as the cubes of their homologous edges; therefore, similar prisms, or pyramids, are to each other as the cubes of their altitudes and similar polyhedrons are to each other as the cubes of any two homologous lines. Similar cylinders of... | |
 | Encyclopedias and dictionaries - 1920 - 934 pages
...polyhedrons are to each other as the cubes of their homologous edges; therefore, similar prisms, or pyramids, are to each other as the cubes of their altitudes and similar polyhedrons are to each other as the cubes of any two homologous lines. Similar cylinders of... | |
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... number of faces, similar each to each, and similarly placed. Any two homologous tetrahedrons are similar. Two similar tetrahedrons are to each other as the cubes of their homologous edges, and two similar polyhedrons are to each other as the cubes... 