 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...line into two parts, so that the 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...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
...PROPOSITION IX. PROBLEM. To divide a given straight line into two parts which shall be in any given ratio. Let AB be the given straight line; it is required to divide AB into two parts which shall be in a given ratio. From the point A draw a line AC, making any angle... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...line into two parts, so that the 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...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... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...info 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 straight Hue; it is required to divide it into two part", so that the rectangle contained by the whole, and... | |
 | John Playfair - Geometry - 1836 - 148 pages
...line into two partx, so that the 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...contained by the whole and one of the parts shall be equal to the square of the other part. Upon AB describe (16. 2.) the square ABDC; bisect (8. 1.) AC... | |
 | 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,... | |
 | 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,... | |
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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. 
