 | Robert Simson - 1762 - 488 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, fnall be equal to the fquare of the other part. Upon AB defcribc " the fquare ABDC, bifect b AC in... | |
 | Euclid - 1781 - 552 σελίδες
...47- '• look II. e Si« 4~~ I1 PRO 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. Upon AB defcribe'the fquare ABDC; bifect b AC in E,... | |
 | Robert Simson - 1781 - 534 σελίδες
...+*, b. 10. c. 3 i 4. 6.*. 5.47.i. PROP. 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 to... | |
 | Euclid, John Playfair - 1795 - 462 σελίδες
...die fquare of AH. 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, ihall be equal to the fquare of the other part. Produce GH to K : Becaufe the ftraight line AC is bifected... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...part. Let 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 - 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
...square of AH: therefore the rectangle AB, BH is equal to the square of AH: wherefore the straight line AB is divided in H so, that the rectangle AB, BH is equal to the square of AH. Which was to be done, PROP. XII. THEOR. IN obtuse angled triangles, if a perpendicular be drawn from... | |
 | Euclid - 1810 - 554 σελίδες
...square FGHA ; AB is divided in II, so b 10.1. join BE; produce CA to F, and make e EF equal to EB; and that the rectangle AB, BH is equal to the square of AH. Produce GH to K; because the straight line AC is bisected in E, and produced to the point F, the rectangle... | |
 | John Mason Good - 1813 - 714 σελίδες
...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... | |
 | Euclides - 1814 - 560 σελίδες
...join BE; produce CA to F, and make c EF equal '' to EB, and upon AF describe 3 the square of FGHA ; AB is divided in H, so that the rectangle AB, BH, is equal to the square of AHLet AB be the given straight line; it is required to divide it into two parts, so that the rectangle... | |
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AB is divided in H, so that the rectangle AB, BH is equal to the square of AH. 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 
