| Edward Brooks - 1901 - 278 pages
...regarded as bases, and their bases as altitudes. PROPOSITION III. — THEOREM. Any two rectangles are **to each other as the products of their bases by their altitudes.** Given. — Let R and R' represent two rectangles whose bases are respectively 6 and b', and altitudes... | |
| George Albert Wentworth - Geometry, Solid - 1902 - 246 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.** 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to... | |
| Education - 1902 - 880 pages
...perpendicular to a chord bisects the chord and its subtended arc. 4 Prove that the areas of two rectangles are **to each other as the products of their bases by their altitudes.** 5 Prove that two regular polygons of the same number of sides are similar. Second 6 The base of a triangle... | |
| Education - 1902 - 780 pages
...perpendicular to a chord bisects the chord and its subtended arc. 4 Prove that the areas of two rectangles are **to each other as the products of their bases by their altitudes.** 5 Prove that two regular polygons of the same number of sides are similar. Second 6 The base of a triangle... | |
| American School (Chicago, Ill.) - Engineering - 1903
...; two triangles having equal bases are to each other as their altitudes ; and any two triangles are **to each other as the products of their bases by their altitudes.** 200. Corollary 111. A triangle is equivalent to one-half a parallelogram having the same base and altitude.... | |
| George Albert Wentworth - Geometry - 1904 - 496 pages
...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 altitudes a and a',... | |
| 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.... | |
| 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.... | |
| 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... | |
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