 | Robert Simson - 1762 - 466 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 - 520 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 - 520 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... | |
 | Richard Turner - 1787 - 240 σελίδες
...Proportion ; that is, to cut a Line fo that the Product of the whole Line and one of the Parts fhall be equal to the Square of the other Part. Let AB be the Right Line given to be fo divided. 11 «L AC Cbnftruflion. Firft, on the Point A, ere£ the Perpeniicukr... | |
 | Alexander Ingram - 1799 - 351 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... | |
 | 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 σελίδες
...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...parts shall be equal to the square of the other part. a 46. 1. Upon AB describe a the square ABDC ; bisect 1• AC in E, ami b 10. 1. jo1n BE ; produce CA... | |
 | John Playfair - 1806 - 311 σελίδες
...AD2+DB2=2AC2+ 2CD2. Wherefore, if a straight line, &c, QE D, 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 may be equal to the square of the other part. Let AB be the given straight line ; it is required to... | |
 | John Mason Good - 1813
...and the part produced. Prop. XI. Prob. To divide a given straight line into two parts, so that thé rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Prop. XII. Theor. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles... | |
 | John Bonnycastle - 1813 - 428 σελίδες
...It is required to divide a line, of 20 inches in length, into two such parts, that the rectangle of the whole and one of the parts shall be equal to the square of the other. Ans. 10/5 — 10 5. It is required to divide the number 60 into two such parts, that their product... | |
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To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. 
