| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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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