 | John Playfair - 1806 - 320 pagine
...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 is double of the triangle. Let the parallelogram ABCD and the triangle EBC be upon the same base BC, and between the same parallels... | |
 | Robert Simson - 1806 - 546 pagine
...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 pagine
...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 pagine
...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 - 354 pagine
...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...parallels ; the parallelogram is double of the triangle. Let the parallelogram ABCD and the triangle EEC be upon the iiime base BC, and between^he same parallels... | |
 | Peter Nicholson - 1825 - 1046 pagine
...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 pagine
...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... | |
 | Euclid, John Playfair - 1826 - 326 pagine
...it but AD ; AD is therefore parallel to BF. Wherefore equal triangles, &e. QED -f" PROP. XLI. THEOR. If a parallelogram and a triangle be upon the same base, and between the same parallel,; the parallelogram is double of the triangle. Let the paralellogram ABCD and the triangle... | |
 | Robert Simson - 1827 - 546 pagine
...to it but AD: AD is therefore parallel to BF. Wherefore equal triangles, &c. QED PROP. XLI. THEOR. If a parallelogram and a triangle be upon the same...and bet-ween the same parallels ; the parallelogram shall be double of the triangle. Let the parallelogram A BCD and the triangle EBC be upon the same... | |
 | John Playfair - 1829 - 210 pagine
...equal bases, and between the same parallels, are equal. If a parallelogram and a triangle stand on the same base and between the same parallels, the parallelogram is double of the triangle. The complements of the two parallelograms which are about the diagonal of any parallelogram are equal... | |
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If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram shall be double of the triangle. 
