 | George Albert Wentworth - Geometry - 1877 - 416 pages
...of Q. BOOK IV. COMPABISON AND MEASUREMENT OF THE SURFACES OF POLYGONS. PROPOSITION I. THEOREM. 313. Two rectangles having equal altitudes are to each other as their bases. CD A \ E О " " О Let the two rectangles be AC and AF, having the the same altitude A D. rect. AC... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...polygon ABCDEF will coincide with the polygon GHIKLM, and therefore be equal to it. THEOREM XIV. 35. Two rectangles having equal altitudes are to each other as their bases. Let ABCD, ABEF be two rectangles having equal altitudes, with AD and AF as their bases ; then PLANE... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...polygon ABCDEF will coincide with the polygon GHIKLM, and therefore be equal to it. THEOREM XIV. 35. Two rectangles having equal altitudes are to each other as their bases. Let A BCD, ABEF be two rectangles having equal altitudes, with AD and AF as their bases ; then E 1st.... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...of Q. BOOK IV. COMPARISON AND MEASUREMENT OF THE SURFACES OF POLYGONS. PROPOSITION I. THEOREM. 313. Two rectangles having equal altitudes are to each other as their bases. D, D B О О Let the two rectangles be AC and AF, having the the same altitude A D. rect. AC _ AB rect.... | |
 | George Albert Wentworth - 1884 - 264 pages
...figure. 176. Theorem. Two rectangles having equal bases are to each .other as their altitudes; and two rectangles having equal altitudes are to each other as their bases. 177. Theorem. Any two rectangles are to each other as the products of their bases and altitudes. 178.... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...equivalent to a rectangle having the same base and the same altitude. PROPOSITION II.—THEOREM. 5. Two rectangles having equal altitudes are to each other as their bases. Let ABCD and AEFD be two ° * F rectangles having equal altitudes; then are they to each other as AB... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...etc. 359. Equivalent figures are figures having equal areas. PROPOSITION I. THEOREM. 360. The areas of two rectangles having equal altitudes are to each other as their bases. D o " •a-~" o Let the two rectangles be AC and AF, having the same altitude AD. „ red. AC AB To... | |
 | George Albert Wentworth - 1889 - 264 pages
...a figure. 176. Theorem. Two rectangles having equal bases are to each other as their altitudes; and two rectangles having equal altitudes are to each other as their bases. 177. Theorem. Any two rectangles are to each other as the products of their bases and altitudes. 178.... | |
 | George Albert Wentworth - 1889 - 276 pages
...a figure. 176. Theorem. Two rectangles having equal bases are to each other as their altitudes; and two rectangles having equal altitudes are to each other as their bases. 177. Theorem. Any two rectangles are to each other as the products of their bases and altitudes. 178.... | |
 | William Chauvenet - 1893 - 340 pages
...equivalent to a rectangle having the same base and the same altitude. PROPOSITION II.—THEOREM. 5. Two rectangles having equal altitudes are to each other as their bases, Let ABCD and AEFD be two - OOF rectangles having equal altitudes; then are they to each other as AB:... | |
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Two rectangles having equal altitudes are to each other as their bases. 
