 | John Playfair - Geometry - 1836 - 148 pages
...Wherefore, If a straight line, &c. QED PROP. XXII. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line...of the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in C, and produced to the point D ; the... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...Geometrically, this last truth is usually enunciated : " If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line...of the straight line, which is made up of the half of the part produced." 10. Some very useful problems may be performed by means of the principles which... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...46. 1. b 31. 1. c 36. 1. d 43. 1. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line...square of the straight line which is made up of the hay' and the part produced. Let the straight line AB be bisected in C, and produced to the point D;... | |
 | Mathematics - 1836 - 488 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first mentioned part. Сок. 1. Hence, four times the rectangle contained by any two... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...If a straight line be bisected and produced to any point, the rectangle contained by the whole line produced, and the part of it produced, together with...half the line bisected, is equal to the square of the line made up of the half and the part produced. Proved by showing that CD* = figs. CH + BF + LG ; and... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first-mentioned part. Let the straight line AB be divided into any two parts in the point... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...rectangle contained by the whole and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the former part. Let the straight line AB be divided into any two parts in C ; * Otherwise... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first mentioned part. Let the straight line AB he divided into any two parts in the point... | |
 | Euclides - 1838 - 264 pages
...rectangle contained by the whole line and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point C : four times... | |
 | Euclides - Geometry - 1841 - 378 pages
...rectangle, not exceeding the square upon half the given line. 44. To produce a given straight line, so that the rectangle contained by the whole line thus produced, and the part produced, shall be equal to a given rectangle. 45. In a given circle to inscribe three equal circles,... | |
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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 of... 
