 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...difference of the hypotenuse and the other. PROP. VI. THEOR. — If a straight line be bisected, and be produced to any point; the rectangle contained by...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected... | |
 | Euclides - 1845 - 546 pages
...chord in the interior circle be produced either way to meet the circumference of the exterior circle, the rectangle contained by the whole line thus produced and the part produced, is a constant quantity. 103. If there be two concentric circles, and any chord of the greater... | |
 | Euclides - 1846 - 292 pages
...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...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...CD2=(AC+CD) (AC — " CD)." SCHOLIUM. X £ / it M r"3> ' '•• * PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected... | |
 | 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...half the line bisected, is equal to the square of the straight line which is made up of the half line and the part produced. Let the str. line AB be bisected... | |
 | 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...half the line bisected, is equal to the square of the straight line which is made up of the half line and the part produced. Let the str. line AB be bisected... | |
 | 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 rectangle...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. PROP. VII. THEOREM. If a straight... | |
 | 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...half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected... | |
 | 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...half the line bisected, is equal to the square of the straight line which is made up of the half, and the part produced. 2. If a point be taken within a... | |
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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... 
