... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude. Elements of Plane and Solid Geometry - Page 179by George Albert Wentworth - 1877 - 398 pagesFull view - About this book
| Arthur Schultze - 1901 - 260 pages
...D . 342. COR. 1. Parallelograms having equal bases and equal altitudes are equivalent. 343. COE. 2. Any two parallelograms are to each other as the products of their bases and altitudes. 344. COR. 3. Parallelograms having equal bases are to each other as their altitudes.... | |
| Edward Brooks - Geometry, Modern - 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...altitude a. But the sum of the bases of the triangular prism equals B. .:V=Bxa. 570. COR. 1. Prisms are to each other as the products of their bases by their altitudes. 572. COR. 3. Prisms that have equal altitudes are to each other as their bases. 573. COK. 4. Prisms... | |
| 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... | |
| 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... | |
| Alan Sanders - Geometry - 1903 - 396 pages
...ADEF a rectangle. ADEF = ADCB. (?) ADEF == AD X ED. (?) ABCD = AD X ED. (?) QED 589. COROLLARY II. Any two parallelograms are to each other as the products of their bases and altitudes; if their bases are equal the parallelograms are to each other as their altitudes; if... | |
| American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...; 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
...each other as their altitudes; parallelograms having equal altitudes are to each other as their bases; any two parallelograms are to each other as the products of their bases by their altitudes. 188 PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by... | |
| 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.... | |
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