| Robert Simson - 1762 - 466 sider
...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 - 520 sider
...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 - 550 sider
...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 - 351 sider
...*• 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 - 1804 - 470 sider
...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
...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 - 518 sider
...of the squares of AC, 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 sider
...equal to the 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 - 528 sider
...squares of AC, CD. Wherefore, 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 sider
...their squares may be equal to a given square, and their rectangle equal to a given rectangle. 9. To **divide a straight line into two parts, so that the...whole and one of the parts may be equal to the square** of a given line, which is less than the line to be divided. 10. To divide a given line into two such... | |
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