| Elias Loomis - Geometry - 1877 - 458 pages
...Cor. 2. Triangles which have equal bases and equal altitudes are equivalent. PROPOSITION in. THEOREM. **Two rectangles having equal altitudes are to each other as their bases.** Let ABCD, AEFD be two rectangles which have the same altitude AD; they are to each other as their bases... | |
| 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 - 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 - 266 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 - 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 - 274 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 - 270 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 - 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.... | |
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