 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 AB, describe » the circle BCD, and from the centre B,... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...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, desa 3. Postu- scribea the circle BCD, Me" and from... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...describe an equilateral triangle upon a given « straight line. (See the figure in Euclid.) !Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. « In Euclid it is " a given finite straight line ;" here the word " finite" is superfluous,... | |
 | John Playfair - 1819 - 354 pages
...PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a givenfinite straight lint. 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) the circle BCD, dhd from the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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, describe (3 Postulate) the cirele BCD, and from the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given Jinite straight line. Let AB be the given straight line; it is required to describe an equilateral triangle upon AB. From the centre A, at the distance AB, describe * the circle BCD, and from the centre B, at... | |
 | John Playfair - Geometry - 1829 - 210 pages
...I. PROBLEM. To describe an equilateral triangle on a given finite straight line. See JVo/e. Let AB be the given straight line; it is required to describe an equilateral triangle on it. From the centre A, at the distance AB, describe the circumference of the circle BCD (3 Postulate);... | |
 | Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...expressed. See Note. PROBLEM. — To describe an equilateral triangle upon a given straight line. Let AB be the given straight line. It is required to describe an equilateral triangle upon it. C About the centre A, with the radius AB. de•IHTERC.13. ., , . . „,,_. - . Cor. 3. scribe*... | |
 | Euclid - 1835 - 540 pages
...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- tance AB, describe a the circle BCD, andfrom the centre... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...PROPOSITION I. PROBLEM.f To describe an equilateral triangle on a given finite straight line.t Let AB be the given straight line ; it is required to describe an equilateral triangle upon it. Let AB be perpendicular to CD, and EF to GH. then the angles ABD, EFH are equal. For let the... | |
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PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given Jinite straight line. Let AB be the given straight line. It is required to describe an equilateral triangle upon AB, From the centre A, at the distance AB, describe the circle BCD... 
