 | Robert Simson - 1762 - 488 σελίδες
...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
...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, fhall be equal to the fquare of the other part. Upon AB deferibe * the fquare ABDC ; bifect b AC in... | |
 | Euclid - 1781 - 552 σελίδες
...look II, k 10 i. e SI 46.".. *47-IPRO P. XI. PRO B. TO divide a given ftraight line into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given ftraight line ; it is required... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...*• 11 B Let AB be the given ftraight line ; it is required to divide CoIK II. it into two parts, fo that the rectangle contained by the whole, and one of the parts, fhall be equal to the fquare of the other part. Upon AB defcribe » the fquare ABDC ; bifea b AC in... | |
 | John Playfair, Euclid - 1804 - 468 σελίδες
...Sec. D. PROP. PROP. XI. PR OB. TO divide a given ftraight line into two parts, fo that the.rectangle contained by the whole, and one of the parts, may be equal to the fquare of the other part. Let AB be the given ftraight line ; it is required to divide it into two... | |
 | Robert Simson - 1804 - 530 σελίδες
...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, fhall be equal to the fquare of the other part. Upon AB defcribe » the fquare ABDC, bifect b AC in... | |
 | Robert Simson - 1806 - 546 σελίδες
...CD. 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... | |
 | John Playfair - 1806 - 320 σελίδες
...square of 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... | |
 | Euclides - 1816 - 588 σελίδες
...if a straight line, £c. QED "46. 1 Ho. 1 PROP. XI. PROB. To divide 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 to... | |
 | Miles Bland - 1819 - 442 σελίδες
...AD, DB are equal to the square of AB, ie to the given square. (9.) To divide a straight line into two parts, so that the rectangle contained by the whole...to the square of a given line, which is less than fhe line to be divided. Let AB he tlie given line to be divided. Upon it describe a semicircle, in... | |
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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. 
