| George Albert Wentworth - Geometry - 1882 - 442 pages
...entire base by the altitude of the prism. -QED 544. COROLLARY. Prisms having equivalent bases are io **each other as their altitudes ; prisms having equal...bases; and any two prisms are to each other as the** product of their bases and altitudes. Any two prisms having equivalent bases and equal altitudes are... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...was to be proved. Cor. Any two prisms are to each other as the products of their bases and altitudes. **Prisms having equal bases are to each other as their...equal altitudes are to each other as their bases.** PROPOSITION XV. THEOREM. Two triangular pyramids having equul bases and equal altitudes are equal in... | |
| Webster Wells - Geometry - 1886 - 392 pages
...COROLLARY. Two pyramids having equivalent bases are to each other as their altitudes ; two pyramids **having equal altitudes are to each other as their bases ; and any two** pyramids are to each other as the products of their bases by their altitudes. Two pyramids having equal... | |
| Webster Wells - Geometry - 1886 - 166 pages
...altitude. 548. COROLLARY. Two prisms having equivalent bases are to each other as their altitudes ; two **prisms having equal altitudes are to each other as their bases ; and** ariy two prisms are to each other as the products of their bases by their altitudes. Two pris'ms having... | |
| Edward Albert Bowser - Geometry - 1890 - 418 pages
...sum of their bases, or the base of the given prism, multiplied by the common altitude. 613. COR. 2. **Two prisms are to each other as the products of their bases** and altitudes; two prisms having equivalent bases are to each other as their altitudes ; two prisms... | |
| Webster Wells - Geometry - 1894 - 398 pages
...other as their bases. 2. Two prisms having equivalent bases are to each other as their altitudes. 3. **Any two prisms are to each other as the products of their bases by their altitudes.** PYRAMIDS. DEFINITIONS. 510. A pyramid is a polyedron bounded by a polygon, and a series of triangles... | |
| John Macnie - Geometry - 1895 - 386 pages
...any prism is measured by the product of its base and altitude. QED 536. COR. Prisms having equivalent **bases are to each other as their altitudes; prisms...equal altitudes are to each other as their bases ; and** prisms are to each other as the products of their bases and altitudes. EXERCISE 732. Two triangular... | |
| George Albert Wentworth - Mathematics - 1896 - 68 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...having equal altitudes are to each other as their bases** ; prisms having equivalent bases and equal altitudes are equivalent. 596. The lateral area of a regular... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...D 677. COR. I. Two prisms having equivalent bases and equal altitudes are equivalent. 678. COR. II. **Any two prisms are to each other as the products of their bases** and altitudes. Hint. — Prove as in § 387. 67.9. COR. III. Two prisms having equivalent bases are... | |
| George Washington Hull - Geometry - 1897 - 408 pages
...ADE—F = ADE X AF. Adding these equalities, we have vol. ABCDE—F= ABCDE X AF. QED 46C. COR. 1.—Any **two prisms are to each other as the products of their bases** and altitudes. COR. 2.—Prisms having equal altitudes are to each other as their bases. COR. 3.—Prisms... | |
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