 | Great Britain. Admiralty - Geometry - 1846 - 128 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 - 128 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 - 1848 - 52 pages
...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...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... | |
 | 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
...triangle, above the less, being given, to construct the triangle. 34. To produce a given line, so that the rectangle contained by the whole line thus produced, and the part of it produc.ed, shall be equal to a given square. 35. From the obtuse angle of an obtuse-angled triangle, to draw a... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...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...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 - 316 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... | |
 | Euclides - 1852 - 152 pages
...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...the part of it produced, together with the square of half the line bisected, is eqaul to the square of the straight line which is made up of the half... | |
 | Euclides - 1853 - 146 pages
...equal to the rectangle contained by theif sum and difference. PROP. VI. — THEOREM. If a. straight 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 tfie straight line which is made up of the half... | |
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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... 
