 | Alexander Ingram - 1799 - 374 sider
...parallelogram and a triangle be upon the fame bafe, and between the fame parallels ; the parallelogram fhall be double of the triangle. Let the parallelogram ABCD and the triangle EBC be upon the fame bafe BC, and between the fame parallels BC, AE ; the parallelogram ABCD is double of the triangle... | |
 | John Playfair - 1806 - 320 sider
...equal triangles, &c. Q, ED PROP. XLI. THEOR. IF a parallelogram and a triangle be upon the same \V base, and between the same parallels, the parallelogram...and the triangle EBC be upon the same base BC, and between the same parallels BC, AE ; the parallelogram ABCD is double of the triangle EEC. Join AC ;... | |
 | Robert Simson - 1806 - 546 sider
...parallel to BF. Wherefore, equal triangles, &c. QED a 31. I PROP. XLI. THEOR. y, IF a parallelogram and triangle be upon the same base, and between the same parallels ; the parallelogram shall be double of the triangle. Book I. Let the parallelogram ABCD and the triangle EBC be upon v—... | |
 | Euclid - 1810 - 554 sider
...to BF. Wherefore, equal triangles, &c. QED a 31. 1. b38.I. PROP. XLI. THEOR. IF a parallelogram and triangle be upon the same base, and between the same parallels ; the parallelo, gram shall be double of the triangle. Book I. Let the parallelogram ABCD and the triangle... | |
 | Euclides - 1816 - 588 sider
...therefore parallel to BF. Wherefore equal triangles, &c. QED PROP. XLI. THEOR. IF a parallelogram and triangle be upon the same base, and between the same parallels ; the parallelogram shall be double of the triangle. .•BouK I. Let the parallelogram ABCD and the triangle EBC be. '*—... | |
 | John Playfair - 1819 - 350 sider
...it but AD ; AD is therefore parallel to BF. Wherefore equal triangles., tc. Gi. ED PROP. XLI. THEOR. If a parallelogram and a triangle be upon the same...Let the parallelogram ABCD and the triangle EBC be upoa the same base BC, and between the same parallels BC, AE ; the parallelogram ABCD A. DE is double... | |
 | John Playfair - 1819 - 354 sider
...it but AD ; AD is therefore parallel to BF. Wherefore eqaal triangles, tc. Q, ED PROP. XLI. THEOR. If a parallelogram and a triangle be upon the same...triangle. Let the parallelogram ABCD and the triangle EEC be upon the iiime base BC, and between^he same parallels BC,AE; the parallelogram ABCD &_ DE is... | |
 | Euclid, Robert Simson - 1821 - 514 sider
...parallelogram and triangle be upon the same base, 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 base BC, and between the same parallels BC, AE; the parallelogram ABCD is double of the triangle EBC. Join AC; then... | |
 | Peter Nicholson - 1825 - 1046 sider
...parallel to BF. Wherefore equal triangles, &c. QED .Proposition XL/. Theorem. If a parallelogram and triangle be upon the same base, and between the same parallels ; the parallelogiam shall be double of the triangle, j; | Let the parallelogram ABCD and the triangle EBC... | |
 | George Lees - 1826 - 276 sider
...parallelograms ; hence triangles upon the same base, and between the same parallels, are equivalent. Cor. 2. If a parallelogram and a triangle be upon the same...parallels, the parallelogram is double of the triangle. Cor. 3. Equivalent triangles upon the same base, and upon the same side of it, are between the same... | |
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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. 
