| Euclid - Geometry - 1838 - 416 pages
...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
...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 - Geometry - 1841 - 351 pages
...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
...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 - Euclid's Elements - 1842 - 317 pages
...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... | |
| Euclid, James Thomson - Geometry - 1845 - 352 pages
...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 - Geometry - 1845 - 199 pages
...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
...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... | |
| John Playfair - Euclid's Elements - 1846 - 317 pages
...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 - Geometry - 1846
...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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