 | Euclid, James Thomson - 1845 - 382 pagina’s
...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...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 in C,... | |
 | Euclides - 1845 - 546 pagina’s
...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 pagina’s
...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...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 in C,... | |
 | Euclid, John Playfair - 1846 - 334 pagina’s
...CD2=(AC+CD) (AC — " CD)." SCHOLIUM. X £ / it M r"3> ' '•• * PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle...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 in C,... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...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...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 in C,... | |
 | Great Britain. Admiralty - 1846 - 128 pagina’s
...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...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 in C,... | |
 | Euclides - 1848 - 52 pagina’s
...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...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 line be... | |
 | John Playfair - 1849 - 332 pagina’s
...difference of their squares * \ / £ / M. PROP. VI THEOR. If a straight line be bisected, andproducedto any point ; the rectangle contained by the whole line...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 in C,... | |
 | Euclid, Thomas Tate - 1849 - 120 pagina’s
...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... | |
 | 1850 - 488 pagina’s
...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...line bisected, is equal to the square of the straight line which is made up of the half and the part produced. SECTION IV. 1. If two circles cut each other... | |
| |
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... 
