| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...606. THEOREM. Two prisms having equivalent bases are to each other as their altitudes. ( 607. THEOREM. **Any two prisms are to each other as the products of their bases by their altitudes.** ORIGINAL EXERCISES 1. How many faces has a parallelepiped? Edges? Vertices? How many faces has a hexagonal... | |
| Webster Wells - Geometry - 1908 - 338 pages
...other as their bases. 3. Two prisms having equivalent bases are to each other as their altitudes. 4. **Any two prisms are to each other as the products of their bases by their altitudes.** ' Ex. 18. The volume of a right prism whose base is a regular hexagon is 600. One side of the base... | |
| Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...SUGGESTION. The cylinder may be regarded as the limit of an inscribed prism. 597. Exercise 1. Show that **two prisms are to each other as the products of their bases** and altitudes. (Why ?) (Why ?) 2. Show that two prisms with equal bases are to each other as their... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...prisms are to each other as the product oj their bases by their altitudes; prisms having equivalent **bases are to each other as their altitudes; prisms...equal altitudes are to each other as their bases.** THE PYRAMID. 638. A pyramid is a polyhedron, one of whose faces, called the base, is a polygon, and... | |
| Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 220 pages
...V=BH. QED 800. Cor. I. Prisms having equivalent bases equal altitudes are equivalent. and 801. Cor. n. **Any two prisms are to each other as the products of their bases** and their altitudes. 1. 2. 3. 4.. 5. 6. § § § § § § REASONS 54, 15. 612. 732. 797. 54,2. 309.... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 pages
...be drawn from these statements ? Write the proof in full. 540. COROLLARY 1. Prisms having equivalent **bases are to each other as their altitudes; prisms...equal altitudes are to each other as their bases.** Write the proof in full. 541. COROLLARY 2. Prisms having equivalent bases and equal altitudes are equivalent.... | |
| John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...Two prisms are to each other as the products of their bases and altitudes; prisms having equivalent **bases are to each other as their altitudes; prisms...equal altitudes are to each other as their bases; and** prisms having equivalent bases and equal altitudes are equivalent. These relations are indicated thus:... | |
| Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...of the bases of the A prisms X h. 6. .:V=bh. 6. Ax. 9. O..ED 552. COB. 2. Prisms having equivalent **bases are to each other as their altitudes ; prisms...equal altitudes are to each other as their bases.** EXERCISES: GROUP 103 If b denotes the area of the base, and h the altitude, find the volume of the... | |
| Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...equivalent. COR. II. Prisms having equivalent bases which lie in parallel planes are equivalent. COR. III. **Any two prisms are to each other as the products of their bases** and altitudes. COR. IV. Two prisms having equivalent bases are to each other as their altitudes. •... | |
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