 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...  Elements of geometry, based on Euclid, books i-iii - Side 69av Edward Atkins - 1876 - 119 siderUten tilgangsbegrensning - Om denne boken
 | John Playfair - 1842 - 332 sider
...algebraical expression, where a denotes AC, and b denotes CD ; hence, a+i =AD, a— i=DB. PROP. X. THEOR. b If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of... | |
 | Euclides - 1842 - 316 sider
...lines A c, c D is equivalent to the rectangle contained by their sum and 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... | |
 | Euclid - 1845 - 218 sider
...are double of the squares of AC, CD. If therefore a straight line, &c. QED PROPOSITION X. THEOB. — If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of... | |
 | Euclides - 1845 - 546 sider
...AC, CD, is equal to the rectangle contained by their sum AD and their difference DB. PROPOSITION VI. THEOREM. 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... | |
 | Euclides, James Thomson - 1845 - 382 sider
...these equals together, and from the suras take 2 AC.CD : then '=2 A(J2-(-2 CD2. PROP. X. THEOR. — If a straight line be bisected, and produced to any point, the squares of the whole line thus produced, and of the part of it produced, are together double of the... | |
 | Euclides - 1846 - 292 sider
...are together double of the squares of AC, CD. Wherefore, If a straight line Ssc. QED PROP. X. THEOR. If a, straight line be bisected and produced to any point, the squares of the whole line thus produced and of the part of it produced are together double of the square... | |
 | Euclides - 1848 - 52 sider
...between the points of section, is equal to the square of half the line. EUCLID S ELEMENTS. PROP. VI. THEOREM. 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... | |
 | Euclid, Thomas Tate - 1849 - 120 sider
...unequal lines AC, CD, is equal to the rectangle contained by their sum and 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... | |
 | Great Britain. Committee on Education - 1850 - 790 sider
...equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. 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... | |
 | Euclides - 1852 - 152 sider
...AC, CD, is equal to the rectangle contained by their sum and difference.] BOOK n. 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... | |
| |
