| Euclid - 1838 - 470 pagina’s
...part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and...part produced. Let the straight line AB be bisected m C, and produced to the point D ; the rectangle AD, DB, together with the square of CB, is equal to... | |
| Euclides - 1838 - 264 pagina’s
...difference. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
| Euclides - 1841 - 378 pagina’s
...difference. PROP. VI. THEOR. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
| Euclides - 1842 - 316 pagina’s
...difference. PROP. VI. THEOR. IF a straight line be bisected, and produced to any point : the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equivalent to the square of the straight line which is made up of the... | |
| John Playfair - 1842 - 332 pagina’s
...their squares PROP. VI THEOR. If a straight line be bisected, and producedto any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
| Euclides, James Thomson - 1845 - 382 pagina’s
...other. PROP. VI. THEOR. — If a straight line be bisected, and be produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
| Euclid - 1845 - 218 pagina’s
...double of the square of half the line bisected, and of the square of the line made up of the halfand the part produced. Let the straight line AB be bisected in C, and produced to the point D : the squares of AD, DB are double of the squares of AC, CD. From the point C draw*... | |
| Euclides - 1845 - 546 pagina’s
...equal the square of the part produced. 91- To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part of it produced, shall be equal to a given square. 92. To determine a right-angled triangle whose hypothenuse may be... | |
| Euclid, John Playfair - 1846 - 334 pagina’s
...r"3> ' '•• * PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
| Great Britain. Admiralty - 1846 - 128 pagina’s
...and produced to Prop. 33. Prop. 29. Hyp. Prop. 35. Prop. 37. Cor. Prop. 43. any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
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