| 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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