 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...QED 325. COROLLARY 1. Triangles having equal bases and equal altitudes are equivalent. 326. COR. 2. Triangles having equal bases are to each other as...having equal altitudes are to each other as their bases ; any two triangles are to each other as the product of their bases by their altitudes. PROPOSITION... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...COR. 1. — Triangles are to each other as the products of their bases and altitudes. 249. COR. 2. — Triangles having equal bases are to each other as...equal altitudes are to each other as their bases. THEOREM V. 251. The area of a trapezoid is equal to half the sum of its parallel sides multiplied by... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...4.—Parallelograms or triangles of equal bases are to each other as their altitudes; of equal altitudes, as their bases; and in general they are to each other as the product of their bases by their altitudes. 349. SCHOLIUM.—The arithmetical signification of the theorem, Th» area of a... | |
 | Edward Olney - Geometry - 1883 - 352 pages
...COROLLARY 2. — Pyramids having equivalent bases are to each other as their altitudes ; such as have equal altitudes are to each other as their bases ; and, in general, pyramids are to each other as the products of their bases and altitudes. EXERCISE.— A Regular Tetraedron... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...altitude. Corollary II. Triangles having equal bases and equal altitudes are equivalent. Corollary III. Triangles having equal altitudes are to each other as their bases, and triangles having equal bases are to each other as their altitudes. PROPOSITION VII. The area of a trapezoid... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 336 pages
...altitude. Corollary II. Triangles having equal bases and equal altitudes are equivalent. Corollary III. Triangles having equal altitudes are to each other as their bases, and triangles having equal bases are to each other as their altitudes. PROPOSITION VII. The area of a trapezoid... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...DC. QED 369. COR. 1. Triangles having equal bases and equal altitudes are equivalent. 370. COR. 2. Triangles having equal bases are to each other as...equal altitudes are to each other as their bases; any two triangles are to each other as the product of their bases by their altitudes. PROPOSITION VI.... | |
 | William Chauvenet - 1893 - 340 pages
...15. COROLLARY II. Triangles having equal bases and equal altitudes are equivalent. 16. COROLLARY III. Triangles having equal altitudes are to each other as their bases; and triangles having equal bases are to each other as their altitudes. PROPOSITION VII.—THEOREM. 17.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...altitude. 369. Cor. 1. Triangles having equal bases and equal altitudes are equivalent. 370. Cor. 2. Triangles having equal bases are to each other as...having equal altitudes are to each other as their bases ; any two triangles are to each other as the products of their bases by their altitudes. 371. The area... | |
 | George Albert Wentworth - Geometry - 1898 - 462 pages
...DC. a ED 369. COR. 1. Triangles having equal bases and equal altitudes are equivalent. 370. COR. 2. Triangles having equal bases are to each other as...their altitudes; triangles having equal altitudes are io each other as their bases; any two triangles are to each other as the products of their bases by... | |
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... triangles are to each other as the products of their bases by their altitudes. 
