| Robert Simson - Trigonometry - 1762 - 488 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 ftraight line which... | |
| Robert Simson - Trigonometry - 1775 - 534 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 ftraight line... | |
| Euclid - 1781 - 552 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 ftraight line... | |
| Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...31. i. c 36. ». * 43. i. IF a ftraight line be bifefted, and produced to any point ; the reftangle **contained by the whole line thus produced, and the part of it produced,** together with the fquare of half the line bife&ed, is equal to the fquare of the ftraight line which... | |
| Alexander Ingram - Trigonometry - 1799 - 374 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 ftraight line... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...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 ftraight line... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 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 line which... | |
| John Playfair - Mathematics - 1806 - 320 pages
...AG, GB is equal to the square upon the given straight line C. Which was to be done. PROP. XXIX. PROB. **TO produce a given straight line, so that the rectangle contained by the** segments between the extremities of the given line and the point to which it is produced may be equal... | |
| Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...another problem •f the same nature ; in which it is required to produce a B 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, EO that the rectangle... | |
| John Mason Good - 1813 - 714 pages
...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 line which... | |
| |