 | Robert Potts - Geometry - 1876 - 446 pages
...parallelogram and c triangle be upon the tame bate, and between ihe tame parallel* ; the parallelogram shall be double of the triangle. Let the parallelogram ABCD, and the triangle EBC be upon the tame base BC, and between the same parallels BC, AE. Then the parallelogram ABCD shall be double of... | |
 | Philip Vernon Smith - Constitutional history - 1876 - 476 pages
...TROPOSITION XLI. &j PROPOSITION XLI. THEOREM. If a parallelogram and a triangle be upon the same case, and between the same parallels, the parallelogram is double of the triangle. Let the £7 ABCD and the A EEC be on the same base EG and between the same [|s AE, BC. Then must EJ ABCD be... | |
 | Edward Atkins - 1877 - 72 pages
...except AD ; Therefore AD is parallel to BF. Therefore, equal triangles, &c. Proposition 41. — Theorem. If a parallelogram and a triangle be upon the same...and between the same parallels, the parallelogram shall be double of the triangle. Let the parallelogram ABCD, and the triangle EBC be upon the same... | |
 | James Hamblin Smith - Greek language - 1878 - 214 pages
...8vo. 3*. dd. LONDON, OXFORD, AND CAMBRIDGE. Book I.] PROPOSITION XLI. 67 PROPOSITION XLI. THEOREM. If a parallelogram and a triangle be upon the same...the same parallels, the parallelogram is double of Hie triangle. Let the ГЗ ABCD and the д ЕВС be on the same base БС and between the same ||s... | |
 | J. HAMBLIN SMITH, M.A - 1878 - 140 pages
...Book I.] PROPOSITION XLI. 67 PROPOSITION XLI. THEOREM. If a parallelogram and, a triangle be upan the same base, and between the same parallels, the parallelogram is double of the triangle. Let the CU ABCD and the д ЕВС be on the same base BO and between the same ||s AE, BC. Then must CJ ABCD... | |
 | Āryabhaṭa - 1878 - 100 pages
...to the parallelogram BF. Therefore, parallelograms upon the same &c. QED PROP. xiii. THEORE^T. (EI 41.) If a parallelogram and a triangle be upon the same base and between, the sami parallels, the parallelogram is double of the triangle. First, let ABCD be a "parallelogram and... | |
 | George Lovett Bennett - 1878 - 174 pages
...^PROPOSITION XLI. 6j PROPOSITION XLI. THEORKM. If a parallelogram and a triangle be iipon the tame base, and ' between the same parallels, the parallelogram is double of the triangle. Let the O ABCD and the д ЕВС be on the same base BO and between the same ||s AE, BG. Then must СИ ABCD... | |
 | Euclides - 1878 - 398 pages
...four equal triangles. PROPOSITION XLI. THEOREM. If a parallelogram and a triangle be upon the fame base, and between the same parallels, the parallelogram is double of the triangle. Let the O ABCD and the A EEC be on the same base EC and between the same [Is AE, BC. Then must O ABCD be double... | |
 | Publius Vergilius Maro - 1878 - 190 pages
...Book 1.] PROPOSITION XLI. 67 PROPOSITION XLI. THEOREM. If a parallelogram and a triangle be upon ike same base, and between the same parallels, the parallelogram is double of Ike triangle. Let the Г7 ABGD and the л EEC be on the same base BO and between the same ||s AE, BC.... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...parallels. Are the angles of these triangles equal, each to each? 41. Define a parallelogram. Prove that if a parallelogram and a triangle be upon the same...and between the same parallels, the parallelogram shall be double of the triangle. Same proposition. Hence deduce that two triangles formed by drawing... | |
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If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram is double of the triangle. 
