 | Robert Simson - 1762 - Liczba stron: 488
...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 - Liczba stron: 534
...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 - Liczba stron: 552
...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 - Liczba stron: 374
...*• 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 - Liczba stron: 530
...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 - 1806 - Liczba stron: 320
...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 - 1806 - Liczba stron: 546
...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 - Liczba stron: 714
...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 - Liczba stron: 456
...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... | |
 | Euclides - 1814 - Liczba stron: 560
...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...parts, shall be equal to the square of the other part. ' 47. i. BA, AE, are equal 0 to the square of **• Produce GH to K; because the straight line AC is... | |
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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. 
