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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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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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Great Moments in Mathematics (before 1650)

Howard Whitley Eves - Mathematics - 1983 - 292 pages
...Prove, by the Pythagorean method aided by simple limit notions, the propositions: (a) The areas of two rectangles having equal altitudes are to each other as their bases. (b) Two dihedral angles are to one another as their plane angles. (c) The volumes of two rectangular...
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Information Relative to the Appointment and Admission of Cadets to the ...

Military Academy, West Point - 906 pages
...To construct a triangle similar to a given triangle nnd having a given perimeter. No. 6.— Theorem: Two rectangles having equal altitudes are to each other as their bases (whether these bo f\Vt. 12.) commensurable or incommensurable). No. 7.— Theorem: Let an equilateral...
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The Course of Study: A Monthly Publication for Teachers and Parents, Volume 1

Education, Elementary - 1900 - 1022 pages
...having equal bases are to each other as their altitudes; /. e,, comparison of bottom and side, (h) Two rectangles having equal altitudes are to each other as their bases; ie, comparison of side and end. NOTE.— As the articles needed become more difficult in construction,...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 356 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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