 | Robert Simson - Trigonometry - 1762 - 466 pages
...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 - Trigonometry - 1775 - 520 pages
...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 pages
...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 - Trigonometry - 1799 - 351 pages
...*• 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 - Trigonometry - 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... | |
 | John Playfair - Euclid's Elements - 1806 - 320 pages
...PROP. X. PROB. TO bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe* upon it an equilateral triangle ABC, and bi- a 1.1. sectb the angle ACB by the... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...PROP. X. PROB. TO bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe a upon it an equilateral triangle ABC, and bisect b*l'Jthe angle ACB by the straight... | |
 | John Mason Good - 1813 - 722 pages
...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... | |
 | Euclides - 1814 - 558 pages
...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...contained by the whole, and one of the parts, shall be equal to the square of the other part. ' 47. i. BA, AE, are equal 0 to the square of **• Produce... | |
 | Euclides - 1816 - 528 pages
...PROP. X. .PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ;, it is required to divide it into two equal parts. Describe11 upon it an equilateral triangle ABC, and bi- • 1. 1. *ectb the angle ACB... | |
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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. 
