| Jacques Ozanam - 1803 - 548 pages
...triangle and a square, and that the side of the hexagon is equal to the radius of the circumscriptible **circle. THIS problem is, in some measure, the reverse...may be easily solved for the same polygons. We shall** begin therefore with the pentagon. Let A 13 (fig. 42 pi. 5) be the side of the required pentagon l... | |
| John Playfair - 1806 - 320 pages
...inscribed in the given circle ABCDEF. Which was to be done. COR. It appears from the demonstration **that the side of the hexagon is equal to the radius of the** circle. For the triangle EGD is equilateral. If through the points A, B, C, D, E, F there be drawn... | |
| 1824 - 726 pages
...circle, and the converse. â€”If .our readers will turn to the figure there given, they will perceive **that the side of the hexagon :is equal to the radius of the** circumscribed circle; and that three radii, one til which must be vertical, drawn from the angles of... | |
| 1825 - 428 pages
...a circle, and the converse. If our readers will turn to the figure there given, they will perceive **that the side of the hexagon is equal to the radius of the** circumscribed circle ; and that three radii, one of which must be vertical, drawn from the angles of... | |
| Andrew Bell - 1837 - 290 pages
...equilateral, as was shown j and it is inscribed in the given circle ABCDEF. COB. â€” From this it is manifest, **that the side of the hexagon is equal to the radius of the** circle. drawn straight lines touching the circle, an equilateral and equiangular hexagon shall be described... | |
| Thomas Lund - 1854 - 520 pages
...shew that ir lies between 3 and 4. In any circle inscribe a regular hexagon : then it is easily shewn **that the side of the hexagon is equal to the radius of the** circle, and therefore its whole perimeter = 6 times the radius = 3 diameters. Again, circumscribe a... | |
| Euclides - 1855 - 230 pages
...Def. 15. I. 32 n, cor. 5. 1.13. e) I. 15. V) ill. 26. III. 29. IV. 11. cor. COROLLARY. It is evident **that the side of the hexagon is equal to the radius of the** circumscribing circle. PROPOSITION XVI. PROBLEM. â€” To inscribe an equilateral and equiangular quindecagon... | |
| Noble Heath - 1855 - 468 pages
...triangles are equiangular, But equiangular triangles are also equilateral, (Euc. cor. 6, I;j therefore, **the side of the hexagon is equal to the radius of the** circle in which it is inscribed. Hence we see that the radius of a circle is the chord of an arc of... | |
| Noble Heath - 1856 - 472 pages
...triangles are equiangular, But equiangular triangles are also equilateral, (Euc. cor. 6, 1;) therefore, **the side of the hexagon is equal to the radius of the** circle in which it is inscribed. Hence we see that the radius of a circle is the chord of an arc of... | |
| Euclides - 1860 - 288 pages
...be equilateral ; and it is inscribed in the given circle ABCDEF. COR. â€” From this it is manifest, **that the side of the hexagon is equal to the radius of the** circle. And if through the points A, B, C, D, E, and F there be drawn straight lines touching the circle,... | |
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