 | Robert Simson - Trigonometry - 1762 - 488 pages
...Book II. a. 46• I • b. 3i.I. c. 36. I. d. 43- IPROP. VI. THEOR. TF a ftraight line be bifected, and produced to any point; the rectangle contained...produced, and the part of it produced, together with the fquarc of half of the line bife&ed, is equal to the fquare of the ftraight line which is made up of... | |
 | Robert Simson - Trigonometry - 1775 - 534 pages
...x. Book "' PRO P. VI. THEO R. a 46- '• b 31. t. c 3fi. t. d 43.1. TF a ftraight line be bifected, and produced to any point; the rectangle contained...produced, and the part of it produced, together with. the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of... | |
 | Euclid - 1781 - 552 pages
...PROPj A £ CD L H / / B M a 48. I. k 3i. I. Book IL PRO P. VI. THEO R. IF a ftraight line be bifected, and produced to any point ; the rectangle contained...produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...difference DB. PROP. VI. THEOR. F a ftraight line be bifected, and produced to any point; the redtangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...46. 1. b. 3i. 1. c. 36. i. i. 43. l. e. Cor. 4. 2, PROP. VI. THEOR. IF a ftraight line be bifected, and produced to any point ; the rectangle contained...produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of... | |
 | Robert Simson - Trigonometry - 1806 - 546 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... | |
 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...another problem of the same nature; in which it is required to produce a straight line AB, such that the rectangle contained by the whole line thus produced and the part produced, shall be equivalent to the square of the line AB itself. Divide AB in C, so that the rectangle... | |
 | John Mason Good - 1813 - 714 pages
...points of section, is equal to the square of half the line. 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 «traight line which U made up of the half and the part produced. Prop. VII. Theor. If a straight line... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...<•! a + xx + aa=(aa + %ax+xx=) a+xf; that is, the rectangle contained by the line produced and part produced, together with the square of half the line bisected, is equal to the square of the line made up of the half, and part produced. QKD Cor. Hence, if three lines ,r, a 4 ,r, and 2rt + ,r... | |
 | Bhāskarācārya - Arithmetic - 1816 - 242 pages
...root. * If a straight li?ie be bisected, and produced to any point, the rectangle contained by ll:e whole line thus produced, and the part of it produced,...equal to the square of the straight line which is mac'e up oi' the half and the part produced. Euclid B. 2. prop. 6. » The figures in the first, third,... | |
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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 on half the line bisected, is equal to the square on the straight line which is... 
