 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...area of a circle, we have . But (30) C = 2irR = rrD Therefore A = JX 2 n RXR = JT R2 D THEOREM XI. 33. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. In the circle whose centre is C draw the chord AB equal to the radius ; AB is the side... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...(30) C = 2irIt = irD Therefore -4 = £ X 1vRXR = irR2 or A = \ ,r I) X f = i *r D* THEOREM XI. 33. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. In the circle whose centre is C draw the chord AB equal to the radius ; AB is the side... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...; and is also isosceles. Hence (Theo. IX. Cor. 3), we have AB : AO : : "/2~: 1. THEOREM XXIV. 228. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. Let ABCDEF be a regular hexagon inscribed in a circle, the center of which is O ; then... | |
 | Edward James Mortimer Collins - 1874 - 290 pages
...know it. Reason is a capital thing. Reason teaches you, after a few interviews with the birchrod, that the side of a regular hexagon inscribed in a circle is equal to the radius of that circle. A bee makes the hexagon without mathematical guidance . . . and makes honey as well. Instinct beats... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...angled ; and is also isosceles. Hence (Theo. IX. Cor. 3), we have AB : AO : : ^2: 1. THEOREM XXIV. 228. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. Let ABC DEF be a regular hexagon inscribed in a circle, the center of which is O ; then... | |
 | Richard Wormell - 1876 - 268 pages
...perimeter of an inscribed or circumscribed regular polygon to the diamettr. For example, the side AB of a regular hexagon inscribed in a circle is equal to the radius; hence the perimeter is equal to three times the diameter (Fig. 122), and the perimeter of the circumscribed... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...circle, we have A = J(7X R But (47) 0 = 2* R = TtD Therefore A = \ X 2 n R X R = ir R * THEOREM XVII. 51i The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. In the circle whose centre is C draw the chord AD equal to the radius; AB is the side of... | |
 | Mortimer Collins - 1883 - 326 pages
...know it. Reason is a capital thing. Reason teaches you, after a few interviews with the birchrod, that the side of a regular hexagon inscribed in a circle is equal to the radius of that circle. A bee makes a hexagon without mathematical guidance . . . and makes honey as well. Instinct beats reason... | |
 | Euclides - 1884 - 434 pages
...stand each on an arc = four-sixths of the Oce , .-. these six angles are all equal. ///. 27 COR. — The side of a regular hexagon inscribed in a circle is equal to the radius. 1. If the points A, C, E be joined, A ACE is equilateral. 2. The area of an inscribed equilateral triangle... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...equal. Hence it is equiangular, and is therefore a regular hexagon inscribed in the circle. Cor. 1. — The side of a regular hexagon inscribed in a circle is equal to the radius. Cor. 2. — If three alternate, angles of a hexagon he joined, they form an inscribed equilateral triangle.... | |
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The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. 
