 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...„„„ = the limit 7-=- (Why?) QED BOOK IV. PLANE GEOMETRY PROPOSITION II. THEOREM 382. The areas of any two rectangles are to each other as the products of their bases by their altitudes. Given the rectangles R and R', Laving the bases 6 and b', and the altitudes a and... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...(Why?) j±L>L>-Ls jfLJJ QED 234 BOOK IV. PLANE GEOMETRY PRGPOSIT ION II . TH EG RKM 382. The areas of any two rectangles are to each other as the products of their bases by their altitudes. Given the rectangles R and Rr , having the bases 1) and V ', and the altitudes... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...AF ' rect. AC AE AB' § 284 QED BOOK IV. PLANE GEOMETRY. PROPOSITION II. THEOREM. 397. The areas of two rectangles are to each other as the products of their bases by their altitudes. Let R and R' be two rectangles, having for their bases b and b', and for their... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...then n I : n II : : b : Dem. The proof of 1. (6) is exactly similar to that of 1. (a). QED XIII. 1 a. Any two rectangles are to each other as the products of their bases and altitudes. Hyp. If the two o's I and II have bases b and 6,, and altitudes h and hu Cone. : then a I : n II :... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...CONCLUSION. The area of R = ax b. PROOF Let U be the unit of surface. m, Then — = _ - U 1x1 , — ax 1 'Two rectangles are to each other as the products of their bases and altitudes." § 397 But — = the area of E. .-. the area of B, = a X b. § 392 QED 400 SCHOLIUM. If the linear... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...1 Therefore their limits are equal. EFGH =FG ABCD ~BC' 264 That is, QED PROPOSITION II. THEOREM 397 Two rectangles are to each other as the products of their bases and altitudes. HYPOTHESIS. R and R' are two rectangles, 6 and V their bases, a and a' their altitudes. CONCLUSION.... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...THEOREM. Two rectangles having equal bases are to each other as their altitudes. (Explain.) 370. THEOREM. Any two rectangles are to each other as the products of their bases by their altitudes. -\ 01 I 188 BOOK IV To Prove : A : B = a- b : c - d. Proof : Construct a third... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...the area of two rectangles having equal bases are to each other as their altitudes. 41. The areas of any two rectangles are to each other as the products of their bases by their altitudes. Let A and B, Fig. 27, be two rectangles whose altitudes are a and a' and whose... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...altitudes are equivalent. 102. Two rectangles having equal bases are to each other as their altitudes. 103. Two rectangles are to each other as the products of their bases by their altitudes. 104-107. The theorems which give the areas of (1), the rectangle; (2), the parallelogram;... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...THEOREM. Two rectangles having equal bases are to each other as their altitudes. (Explain.) 370. THEOREM. Any two rectangles are to each other as the products of their bases by their altitudes. 188 A c X B BOOK IV To Prove : A : B = ab : c • d. Proof : Construct a third... | |
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Any two rectangles are to each other as the products of their bases by their altitudes. 
