| Robert Simson - 1806 - Liczba stron: 546
...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 - 1806 - Liczba stron: 320
...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 - 1814 - Liczba stron: 528
...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 - Liczba stron: 354
...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 - 1825 - Liczba stron: 1046
...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 - 1827 - Liczba stron: 546
...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 - 1829 - Liczba stron: 210
...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 - 1833 - Liczba stron: 168
...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 - Liczba stron: 540
...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 - 1837 - Liczba stron: 410
...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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