| Alexander Ingram - Trigonometry - 1799 - 351 pages
...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 - Euclid's Elements - 1806 - 311 pages
...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 - Trigonometry - 1806 - 518 pages
...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 - Geometry - 1810 - 518 pages
...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 - 528 pages
...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 - Euclid's Elements - 1819 - 333 pages
...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 - 317 pages
...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 - Geometry - 1821 - 514 pages
...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 - Mathematics - 1825 - 372 pages
...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 - 272 pages
...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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