| Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...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... | |
| John Playfair - Circle-squaring - 1826 - 326 pages
...reetangle eontained by the whole, and one of the parts, may be equal to the square of the other part. Let **AB be the given straight line; it is required to divide it into two parts, so that the** reetangle eontained by the whole, and one of tb.e parts, shall be equal to the square of the other... | |
| Miles Bland - Euclid's Elements - 1827 - 462 pages
...whole line produced and the part produced may be equal to a given square. 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... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...PROP. X. PROB. To bisect a given Jinite 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 * 1. 1. bisect* the angle ACB by the... | |
| John Playfair - Geometry - 1829 - 210 pages
...X. PROBLEM. 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. On AB describe an equilateral triangle ABC (1. 1.), and bisect the angle ACB by the straight... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. Let **AB be the given straight line; it is required to divide...that the rectangle contained by the whole, and one of** the_parts, sha'l be equal to the square of the other part. Upon AB describe (40. 1.) the square ABDC;... | |
| Euclid - 1835 - 540 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. al. 1. Describe a upon it an equilateral triangle ABC, and bisect b9. i. bthe angle ACB... | |
| John Playfair - Geometry - 1836 - 148 pages
...rectangle con tained by the whole and one of the parts shall be equal to the square of the other part. Let **AB be the given straight line : it is required to...parts shall be equal to the square of the other part.** Upon AB describe (16. 2.) the square ABDC; bisect (8. 1.) AC in E, and join BE ; produce CA to F, and... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...are now in a condition for showing how the same result may be arrived at geometrically. Let AB be any **line, it is required to divide it into two parts, so that the** square of one part shall be equal to the rectangle of the whole and the other part. At the point B,... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...are now in a condition for showing how the same result may be arrived at geometrically. Let AB be any **line, it is required to divide it into two parts, so that the** square of one part shall be equal to the rectangle of the whole and the other part. At the point B,... | |
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