| Euclides - 1826 - 226 pages
...circumscribed, let it be circumscribed, and let it be ABCDE. Therefore a circle has been circumscribed, &c. QEF PROPOSITION XV. PROBLEM. To inscribe an equilateral and equiangular hexagon in a given circle. Let ABCDEF be the given circle; it is required to inscribe an equilateral and equiangular hexagon in... | |
| Euclid - 1826 - 234 pages
...let it be circumscribed, and let it be ABCDE. Therefore a circle has been circumscribed, &c. g. EF PROPOSITION XV. PROBLEM. To inscribe an equilateral and equiangular hexagon in a given circle. Let ABCDEF be the given circle ; it is required to inscribe an equilateral and equiangular hexagon... | |
| George Lees - 1826 - 276 pages
...diagonals is the centre, and its distance from one of the angular points the radius. • PROP. XVIII. PROBLEM. To inscribe an equilateral and equiangular hexagon in a given circle. The radius of the circle is the side. » PROP. XIX. PROBLEM. To describe an equilateral and equiangular... | |
| Euclid - Euclid's Elements - 1833 - 216 pages
...circle can be circumscribed about any equilateral and equiangular figure. PROP. XV. PROB. Fig. 17. To inscribe an equilateral and equiangular hexagon in a given circle (ABCDEF). Let G be the centre of the given circle, draw any diameter AGD ; from the centre A with the radius... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...extremities of the other four, and be described about the equilateral and equiangular pentagon ABCDE. PROPOSITION XV. PROBLEM. To inscribe an equilateral and equiangular hexagon in a given circle. Let ABCDEF be the given circle ; it is required to inscribe an equilateral and equiangular hexagon... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...any one of them, will pass through the points A, B, c, D, K and bedescribed about the given pentagon. PROPOSITION XV. Problem. To inscribe an equilateral and equiangular hexagon in a '^ given circle. Steps of the Demonstration. 1. Prove that A EGD is equilateral, 2. that Z EGD = ^ of 2 right Zs, and... | |
| Euclides - 1845 - 546 pages
...extremities of the other four, and be described about the equilateral and equiangular pentagon ABCDE. QEF PROPOSITION XV. PROBLEM. To inscribe an equilateral and equiangular hexagon in a given circle. Let ABCDEF be the given circle. It is required to inscribe an equilateral and equiangular hexagon in... | |
| Dennis M'Curdy - Geometry - 1846 - 168 pages
...which was to be done (d). Recite (a) p. 9, 1; (4) p. 4, 1; (c)p. 6, 1; (d), ' I def. I ,3,4. 15 P. To inscribe an equilateral and equiangular hexagon in a given circle (ABCDEF). Let G be the centre of the given circle, and draw the diameter AGD (a): Again, on the point D, where... | |
| Euclides - 1848 - 52 pages
...PROP. XIV. PROBLEM. To describe a circle about a given equilateral and equiangular pentagon. PROP. XV. PROBLEM. To inscribe an equilateral and equiangular hexagon in a given circle. COR. From this it is manifest, that the side of the hexagon is equal to the straight line from the... | |
| Euclides - Geometry - 1853 - 178 pages
...four, and be described about the equilateral and equiangular pentagon ab С d e. Which was to be done. PROPOSITION XV. — PROBLEM. To inscribe an equilateral and equiangular hexagon in a given circle. LET ab С def be the given circle ; it is required to inscribe an equilateral and equiangular hexagon... | |
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