 | Robert Simson - 1762 - 488 σελίδες
...equal to the fquare of the other part. Let AB be the given ftraight line ; it is required to divide it into two parts, fo that the rectangle contained by the whole, and one of the parts, fnall be equal to the fquare of the other part. Upon AB defcribc " the fquare ABDC, bifect b AC in... | |
 | Robert Simson - 1775 - 534 σελίδες
..."Wherefore, if a ftraight line, &c. Q^ED t 47. r. PROP, Book IT. B4«. i. b lo. i. c 3. i. c. ». fi 47. PRO P. XI. PRO B. •"TO divide a given ftraight line into two parts, fo that the reftangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part.... | |
 | Robert Simson - 1781 - 534 σελίδες
...equal to the fquare of the other part. Let AB be the given ftraight line ; it is required to divide it into two parts, fo that the rectangle contained by...parts, fhall be equal to the fquare of the other part. Upon AB delcribe * the fquare ABDC, bifcct "> AC in E, and join BE ; produce CA to F, and make c EF... | |
 | Euclid, James Williamson - 1781 - 324 σελίδες
...part produced, as upon one line. Which was to be demonftrated. PROP. XI. To cut a given ftraight line, fo that the rectangle contained by the whole and one of the fegments may be equal to the fquare of the remaining fegment. Let AB be the given ftraight line ; it... | |
 | John Playfair - 1795 - 462 σελίδες
...fquares of AD, DB are double of the fquares of AC, CD i Wherefore, if a ftraight line, &c. Q^ ED PROP. TO divide a given ftraight line into two parts, fo that the redtangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part.... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...together double of the fquares of CD half their fum, and AC half their difference. PROP. XI. PROB. TO divide a given ftraight line into two parts, fo that the reel-angle contained by the whole, and one of the parts, lhall be equal to the fquare of the pther... | |
 | John Bonnycastle - 1803 - 306 σελίδες
...to the fum qf the fquareg of AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line into two parts, fo that the rectangle contained by the whole line and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given right... | |
 | Robert Simson - 1804 - 528 σελίδες
...C^,E, D. h. 34. a. i. 47. i. i. 47. i. a. 46. t. b. 10. i. c. 3. l. <L 6. 3. e. 47. PROP. XI. PR OB. TO divide a given ftraight line into two parts, fo that the rectangle contained by the whale, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight... | |
 | John Playfair - 1806 - 320 σελίδες
...the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part, e 47. 1. Upon AB describe" the square ABDC ; bisectb... | |
 | Robert Simson - 1806 - 548 σελίδες
...Wherefore, wr a straight line, &c. QED PROP. XI. PROB. TO clivjde a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Let AB be the given straight line ; it is required... | |
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AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. 
