 | John Playfair - Mathematics - 1806 - 320 pages
...to the same straight line." Book I. PROPOSITION I. PROBLEM. TO describe an equilateral triangle upon a given finite 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,... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...Book !. a 3. Postulate. b 1. Post. PROPOSITION I. PROBLEM. TO describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. o From the centre A, at the distance... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...rectangle contained by the segments of any other line drawn through the same point. SECTION VI. Page 184. 1. To describe an isosceles triangle on a given finite straight line. 2. To describe a square which shall be equal to the difference of two squares, whose sides are given.... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...which are lest than two right angles." Proposition I. Problem. To describe an equilateral triangle upon a given finite 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,... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...the corollary to 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
..."parallel to the same straight line." PROPOSITION I. PROBLEM. To deseribe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to deseribe an equilateral triangle upon it. From the eentre A, at the distanee AB,... | |
 | Euclid - 1835 - 540 pages
...the notes on Prop. 29. of Book I." PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite 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 dis3. Postu-... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...as often as there are units in m. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite 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,... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...notes on prop. "29. of Book I." PROPOSITION I. PROBLEM. f To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. C From the centre A, at the distance... | |
 | Euclides - 1838 - 264 pages
...shall be equal to a *44. i. given rectilineal figure.* PROP. XLVI. PROB. To describe a square upon a given finite 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 ,3 1 '... | |
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PROPOSITION I. PROBLEM. — To describe an equilateral triangle upon a given finite straight line. Let AB be the given straight line; it is required to describe an equilateral triangle upon it. 
