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" Any two rectangles are to each other as the products of their bases by their altitudes. "
Elements of Geometry - Page 175
by George Albert Wentworth - 1881 - 250 pages
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...of their bases and altitudes. For if R = a6, and R' = a'b'. then — = -- B' a'b' 323. COROLLARY 2. Two rectangles having equal bases are to each other as their altitudes. 324. COROLLARY 3. Two rectangles having equal altitudes are to each other as their bases. 325. COROLLARY...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...products of their bases and altitudes. For if E = ab, and R' = a'b', then — = —^ . 323. COROLLARY 2. Two rectangles having equal bases are to each other as their altitudes. 324. COROLLARY 3. Two rectangles having equal altitudes are to each other as their bases. 325. COROLLARY...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...479. Any two rectangles are to each other as the products of their bases and their altitudes. 480. (a) Two rectangles having equal bases are to each other as their altitudes, and (b) two rectangles having equal altitudes are to each other as their bases. 481. The area of a...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...limit. But -— is always equal to =— ; — > as AP varies in value and A Cj " \ 1 AF Case 1 QED 317. COROLLARY. Two rectangles having equal bases are to each other as their altitudes. PROPOSITION II. THEOREM 318. Two rectangles are to each other as the products of their bases by their...
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Robbin's New Plane Geometry

Edward Rutledge Robbins - Geometry, Plane - 1915 - 282 pages
...C' ACl — approaches — ES EG — approaches — as a limit. ER EF (229). QBD AC_AB ' EG EF 355. COROLLARY. Two rectangles having equal bases are to each other as their altitudes. (Explain.) PROPOSITION II. THEOREM 356. Any two rectangles are to each other as the products of their...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...the products of their bases and altitudes. -T-, = -—-,. A_=bh_ A' b'h' 349. Theorem. The areas of two rectangles having equal bases are to each other as their altitudes. 350. Theorem. The areas of two rectangles having equal altitudes are to each other as their bases....
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...figures. Theorem I. Two rectangles having equal altitudes are to each other as then* bases. Corollary 1. Two rectangles having equal bases are to each other as their altitudes. Corollary 2. Two parallelograms having equal altitudes are to each other as their bases, and having...
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 536 pages
...their bases and altitudes. For if B = 06, and R' = a'b', then — = — . R' a'b' 323. COROLLARY 2. Two rectangles having equal bases are to each other as their altitudes. 324. COROLLARY 3. Two rectangles having equal altitudes are to each other as their bases. 325. COROLLARY...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...figures. Theorem I. Two rectangles having equal altitudes are to each other as their bases. Corollary 1. Two rectangles having equal bases are to each other as their altitudes. Corollary 2. Two parallelograms having equal altitudes are to each other as their bases, and having...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...rectangles are to each other as the products of their bases and altitudes. 349. Theorem. The areas of two rectangles having equal bases are to each other as their altitudes. 350. Theorem. The areas of two rectangles having equal altitudes are to each other as their bases....
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