 | 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 - 542 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... | |
 | 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 - 1804 - 528 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 - Mathematics - 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... | |
 | Robert Simson - Trigonometry - 1806 - 548 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... | |
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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 half the line bisected, is equal to the square of the straight line which is... 
