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" Two rectangles having equal altitudes are to each other as their bases. "
Elements of Geometry and Trigonometry: With Practical Applications - Page 77
by Benjamin Greenleaf - 1862 - 490 pages
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
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Elements of Plane and Solid Geometry

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...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

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...
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An Elementary Geometry: Plane, Solid and Spherical

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....
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Elements of Geometry

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....
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Wentworth & Hill's Exercise Manuals: Geometry, Issue 3

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....
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Chauvenet's Treatise on Elementary Geometry

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...
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A Text-book of Geometry

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...
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Exercise Manuals, Issue 3

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....
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Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

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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