 | Fletcher Durell - Geometry - 1911 - 553 pages
...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 a and oJ ', respectively.... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...altitudes ; triangles having equal altitudes are to each other as their bases; any two triangles are to each other as the products of their bases by their altitudes. 406. COR. 3. The product of the legs of a right triangle is equal to the product of the hypotenuse... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...sum of the bases of the A prisms X H. = BXH. Ax. 8. .'. V=BXH. Ax. l. QED 629. COR. 1. Two prisms are to each other as the products of their bases by their altitudes; prisms having equivalent bases and equal altitiides are equivalent. PYEAMIDS Pyramid 0 PYRAMIDS 631.... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...(WhyT) 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', having the bases 6 and b', and the altitudes a and a', respectively.... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...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 bases are b and 6', respectively.... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...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; (3), the... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...multiplied by their common altitude ; or ABCDE x H. That is, V = B x H. 0, ED 639 COROLLARY. Prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes ; prisms having equal altitudes... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...multiplied by their common altitude ; or ABODE x H. That is, V = B x H. QED 639 COROLLARY. Prisms are to each other as the products of their bases by their altitudes ; prisms having equivalent bases are to each other as their altitudes ; prisms having equal altitudes... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...equal bases are to each other as their altitudes. Proof: CO377. THEOREM. Any two parallelograms are to each other as the products of their bases by their altitudes. Proof: (?). 378. THEOREM. The area of a triangle is equal to half the product of its base by its altitude.... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...equal bases are to each other as their altitudes. Proof: (?). 377. THEOREM. Any two parallelograms are to each other as the products of their bases by their altitudes. Proof: (?). 378. THEOREM. The area of a triangle is equal to half the product of its base by its altitude.... | |
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Any two rectangles are to each other as the products of their bases by their altitudes. 
