| 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
.....;... b 3'c 3«. i. a 43. 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...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 which is... | |
| Euclid - 1781 - 550 pages
...H / a 48. I. k 3i. I. c 36. 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...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 - 1781 - 534 pages
...&c. Book II. *. 46. i. b. 3i. i. v. 3<. i. i 43- i. PROP. VI. THEO R. TF a ftraight line be bifecled, **and produced to any point ; the rectangle contained...whole line thus produced, and the part of it produced,** togc ther with the fquare of half of the line bifefted, 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 is made up of the... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...angle contained by their fum AD and difference DB. PROP. VI. THEOR. IF a ftraight line be bife&ed, **and produced to any point ; the rectangle contained...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 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... | |
| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...AC+CD. AC— CD." a 46. ib3i. 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...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 is made up of the... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...of AD, DB are double of the squares of AC, CD. If therefore a straight line, &c. QED PROP. X. THEOR. **IF a straight line be bisected, and produced to any point, the** square of the whole line thus produced, and the square of the part of it produced, are together double... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...away the equal rectangles 2BC.CD and 2AC.CD, " there remains AD2+DB2=2AC2+2CD2. QED" PROP. X. THEOR. **IF a straight line be bisected, and produced to any point, the** square of the whole line thus produced, and the square of the part of it produced, are together double... | |
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