 | John Mason Good - 1819 - عدد الصفحات: 800
...made up of the half and the part produced. Prop. XI. Prob. To divide a given straight lint into tu'o parts, so that the rectangle contained by the whole, and one of the parts, shall be equal tu the fquare of the other part. Prop. XII. Theor. In obtuse angled triangles, if a perpendicular... | |
 | Daniel Cresswell - 1819 - عدد الصفحات: 486
...such, that the rectangle contained by the whole line and one of its parts, shall have a given ratio to the square of the other part. Let AB be the given straight line : It is reAB % quired to divide it into two parts, such that the rectangle contained by AB and one of the parts... | |
 | Miles Bland - 1819 - عدد الصفحات: 442
...equal to a given square, and their rectangle equal to a given rectangle. 9. To divide a 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 a given line, which is less than the line to be divided. 10. To divide... | |
 | John Playfair - 1819 - عدد الصفحات: 350
...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 (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle ACB... | |
 | Daniel Cresswell - 1819 - عدد الصفحات: 446
...DAH > the L HAG ; and so on. . PROP. XXXIII. 47. PROBLEM. To trisect av given finite straight line. Let AB be the given straight line: It is required to divide it into three equal parts. Upon AB describe (E. 1.1.) the equilateral A CAB ; bisect (E. 9. 1.) the two equal... | |
 | Miles Bland - 1819 - عدد الصفحات: 444
...DB are equal to the square of AB, ie to the given square. (9.) To divide a straight line into ttvo parts, so that the rectangle contained by the whole and one of the parts may be equal to the square of a given line, which is less than the line to be divided. L,etAB be the... | |
 | John Playfair - 1819 - عدد الصفحات: 354
...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 (1. 1.) upon it an equilateral triangle ABC, and bisect (9. 1.) the angle ACB... | |
 | Euclid, Robert Simson - 1821 - عدد الصفحات: 514
...line 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. Let AB be the given...parts, so that the rectangle contained by the whole and dne of the parts shall be equal to the square of the other part. Upon AB describe (46. 1.) the square... | |
 | Peter Nicholson - 1825 - عدد الصفحات: 1046
...into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal 'o the square of the other part. Let AB be the given...contained by the whole, and one of the parts, shall be equal to the square of the other part. Upon AB describe (46. I.) the square ABDC; bisect (10. 1.) AC... | |
 | Daniel Cresswell - 1825 - عدد الصفحات: 616
...whole tine and out; of Us parts, shall have a given ratio to the square of the other part *. Let Jli be the given straight line : It is required to divide it into two parts, such that the rectangle contained by AB and one of the parts shall have to the square of the other... | |
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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. 
