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" Two rectangles having equal altitudes are to each other as their bases. "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 79
by Benjamin Greenleaf - 1862 - 490 pages
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...^A. 480. Cor. m. (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. OUTLINE op PROOF 6 • ft ft i\ R 6 • ft & Ex. 803. Draw a rectangle whose base is 7 units and whose...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 360 pages
...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 4. Two rectangles having equal altitudes and equal bases are equal. The above corollaries...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...altitudes. 480. (a) Two rectangles having equal bases are to each other as their altitudes, and (li) two rectangles having equal altitudes are to each other as their bases. 481. The area of a parallelogram equals the product of its base and its altitude. 482. Parallelograms...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 500 pages
...word equal is often used to mean " equivalent." BOOK IV. PLANE GEOMETRY PROPOSITION I. THEOREM 316. Two rectangles having equal altitudes are to each other as their bases. A ~x 'BA x Given the rectangles AC and AF, having equal altitudes AD. To prove that OAC:DAF = base...
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Plane Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 296 pages
...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. 351. Theorem. Tim rectangles having equal bases and equal altitudes are equal in area. The preceding...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...A PERIGON. PART III— INCOMMENSURABLE CASES PART I— AREAS OF RECTILINEAR FIGURES 250. Theorem I. Two rectangles having equal altitudes are to each other as their bases. R: Given the rectangles R and R' with equal altitudes a, and with unequal bases b and b\ respectively....
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 pages
...A PERIGON. PART III— INCOMMENSURABLE CASES PART I— AREAS OF RECTILINEAR FIGURES 250. Theorem I. Two rectangles having equal altitudes are to each other as their bases. Given the rectangles R and R' with equal altitudes a, and with unequal bases b and b\ respectively....
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 536 pages
...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 4. Two rectangles having equal altitudes and equal bases are equal. The above corollaries...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...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. 351. Theorem. Two rectangles having equal bases and equal altitudes are equal in area. 354. Theorem....
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 436 pages
...two rectangles having equal bases are to each other as their altitudes. 360. Theorem. The areas of two rectangles having equal altitudes are to each other as their bases. 351. Theorem. Two rectangles having equal bases and equal altitudes are equal in area. The preceding...
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