| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...straight line be bisected, and produced to Prop. 33. Prop. 29. Hyp. Prop. 35. Prop. 37. Cor. Prop. 43. **any point; the rectangle contained by the whole line...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 - 130 pages
...be + (a — &)«=a 2 ; or be + (c—a)> = a e . 62 Prop. Prop. HypProp. Prop. Cor. Prop. GEOMETRY. **any point; the rectangle contained by the whole line...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 - 1846 - 292 pages
...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... | |
| John Playfair - Euclid's Elements - 1847 - 340 pages
...difference of two quantities, is equivalent to the difference of their squares E PROP. VI THEOR. Ifastfaight **line be bisected, and produced to any point ; the...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 - 1848 - 52 pages
...square of half the line, and of the square of the line between the points of section. PROP. X. THEOREM. **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... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...difference of their squares * \ / £ / M. PROP. VI THEOR. If a straight line be bisected, andproducedto **any point ; the rectangle contained by the whole line...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, Thomas Tate - 1849 - 120 pages
...AD, DB are double of the squares of AC, CD. If, therefore, a straight line, &c. QED PROP. X. THEOR. **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... | |
| Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...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...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,... | |
| Education - 1850 - 488 pages
...line intercepted without the triangle between the perpendicular and the obtuse angle. 2. If a right **line be bisected, and produced to any point; the rectangle...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... | |
| 1852 - 314 pages
...equal to the squares described upon the sides which contain the right angle. 11. If a straight line bo **bisected and produced to any point ; the rectangle contained by the whole line thus produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
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