| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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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