 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...the. area of the triangle ABC (A. 9), will be equal to ^OD (AB + BC + CA). PROPOSITION VII. THEOREM. The area of a trapezoid is equal to the product of its tude and half the sum of its parallel sides. Let ABCD be a trapezoid, DE its altitude, and AB and DC... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...sum of AB and CD ; therefore the area of the trapezoid is equal to the product of EF by H I. Hence, the area of a trapezoid is equal to the product of its altitude by the line connecting the middle points of the sides which are not parallel. PROPOSITION VIII. —... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1869 - 470 pages
...area of the triangle ABC (A. 9), will be equal to \OD (AB + BC + CA). AE B PROPOSITION VII. THEOREM. The area of a trapezoid is equal to the product of its altitude and half the sum of its parallel sides. Let ABCD be a trapezoid, DE its altitude, and AB and DC its parallel... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...are to each other as the products of their bases by their altitudes. PROPOSITION VI.— THEOREM. 17. The area, of a, trapezoid is equal to the product of its altitude by half the sum of its parallel bases. Let ABCD be a trapezoid; MN = h, its al- -^ x D titude; AD =... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...the area of the triangle ABC (A. 9), will be equal to \OD (AJ B + BC + CA). PROPOSITION VII. THEOREM. The area. of a trapezoid is equal to the product of its altitude and half the s^lm of its parallel sides. Let A-BCD be a trapezoid, DE its altitude, and AB and .DC its... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...area of ABD = -i EFX AD Therefore the area of the trapezoid = £ EF X (BC -^ AD). BOOK II. therefore the area of a trapezoid is equal to the product of its altitude and the line joining the middle points of tlio sides which are not parallel. THEOREM VI. 161 A line drawn... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...line joining the middle points of the sides AB and CD of the trapezoid ^= J (BC + AD), a therefore the area of a trapezoid is equal to the product of its altitude and the line joining the middle points of the sides which are not parallel. THEOREM YI. 16i A line drawn... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...to each other as the products of their bases by their altitudes. PROPOSITION VII. 325. TJieorem. — The area of a trapezoid is equal to the product of its altitude into one-half the sum of its parallel sides, or, what is the same thing, the product of its altitude... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...to each other as the products of their bases by their altitudes. PROPOSITION TII. 325. Theorem. — The area of a trapezoid is equal to the product of its altitude into one-half the sum of ils parallel sides, or, what is 'the same thing, the product of its altitude... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...are to each other as the products of their bases by their altitudes. PROPOSITION VI.— THEOREM. 17. The area of a trapezoid is equal to the product of its altitude by half the sum of its parallel bases. Let ABCD be a trapezoid; MN— h, its al- •* * D titude ;... | |
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Hence, the area of a trapezoid is equal to the product of its altitude by the line connecting the middle points of the sides which are not parallel. 
