 | Robert Simson - Trigonometry - 1806 - 546 pages
...triangle ABD, and having an angle equal to the angle. Book I. PROP. XL VI. PROB. TO describe a square upon a given straight line. Let AB be the given straight line ; it is required to describe a square upon AB. a 11. 1. From the point A draw » AC at right angles to AB ; and fc3. 1.... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...having an angle equal to the given angle. Book I. d 34. 1. PROP. XLVI. PROB. TO describe a square upon a given straight line. ' Let AB be the given straight line ; it is required to describe a square upon AB. From the point A draw* AC at right angles to AB, and a U- *• makeb AD... | |
 | Euclides - 1816 - 588 pages
...triangle ABD, and having an angle equal to the given angle. PROP. XL VI. PROB. To describe a square upon a given straight line. Let AB be the given straight line; It is required to describe a square upon AB. * 11. 1. From the point A draw a AC at right angles to AB ; and * 3. •... | |
 | John Playfair - 1819 - 354 pages
...triangle ABD, and having an angle equal to the given angle. PROP. XLVI. PROB. To describe a square upon a given straight line. Let AB be the given straight line ; it is required to describe a square upon AB. From the point A draw (11. I.) AC at right angles to ABl ; and make (3.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...same straight line." PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a givenfinite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. From the centre A, at the distance AB, describe (3. Postulate)... | |
 | Daniel Cresswell - Geometry - 1819 - 446 pages
...1. that the L 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.... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...and having an angle equal to the given angle. Proposition. XLiVI. Problem. To describe a square upon a given straight line. Let AB be the given straight line ; It is required to describe a square upon AB. From the point A draw (11. 1.) AC at right angles to AB; and make, (3.1.)... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...Supp. xxxi. 1 . that the LDAH>ZHAG, and so on. PROP. XXXIH. 47. PROBLEM. To trisect a given finite straight line. Let AB be the given straight line : It is required C i Ir EFB to divide it into three equal parts. Upon AB describe (E. i. 1.) the equilateral triangle... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...triangle ABD, and having an angle equal to the given angle. PROP. XLVI. PROB. To describe a square upon a given straight line. Let AB be the given straight line ; it is required to describe a square upon AB. From the point A draw* AC at right angles to AB; and make* AD equal to AB:... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...Prop, above) it is the double of the triangle. PROPOSITION XLII. PROBLEM. — To describe a square upon a given straight line. Let AB be the given straight line ; it is required DC to describe a square upon it. From the points A and B, drawt AD and BC at right angles to AB and... | |
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To describe a square upon a given straight line. Let AB be the given straight line : it is required to describe a square upon AB. 
