| Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...3i. I. c. 36. I. d. 43- IPROP. VI. THEOR. TF a ftraight line be bifected, and produced to any point; **the rectangle contained by the whole line thus 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... | |
| Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...I• c Cot. 4. i, H M PRO P. VI. THEO R. TF a ftraight line be bifected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part** of it produced, together witlx the fquare of half of the line bifected, is equal to the fquare of the... | |
| Euclid - 1781 - 520 pages
...r. A 4J. t. Book IL PRO P. VI. THEO R. IF a ftraight line be bifected, and produced to any point ; **the rectangle 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... | |
| Trigonometry - 1799 - 351 pages
...fum AD and difference DB. PROP. VI. THEOR. IF a ftraight line be bife&ed, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part** of it produced, together with the fquare of half of the line bifefted, is equal to the fquare of the... | |
| John Playfair - Euclid's Elements - 1804 - 440 pages
...Ic 36. i. * 43- i. PRO P. VI. THEO R. IF a ftraight line be bifec"led, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part** of it produced, together with the fquare of half the line bifefted, is equal to the fquare of the ftraight... | |
| Robert Simson - Trigonometry - 1804
...i. 43. l. e. Cor. 4. 2, PROP. VI. THEOR. IF a ftraight line be bifected, and produced to any point ; **the rectangle 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... | |
| Sir John Leslie - Geometry, Plane - 1809 - 493 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 BA,... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...square of half the line. Prop. VI. Theor. 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 half the line bisected, is equal to the square of the «traight... | |
| Euclides - Geometry - 1816 - 528 pages
...sum and difference. M ^5' PROP. VI. THEOR. 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 half the line bisected, is equal to the square of the straight... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...subtend equal angles, at the center of the circle. (LXVII.) To produce a given straight line, so that **the rectangle contained by the whole line thus produced, and the part** of it produced, shall be equal to a given square. (LXVII i.) If, from the bisection of any given arch... | |
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