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" The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. "
Elements of Plane Geometry: For the Use of Schools - Page 82
by Nicholas Tillinghast - 1844 - 96 pages
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Modern - 1868 - 286 pages
...perimeter of an inscribed or circumscribed regular polygon to the diameter. 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. 371). Hence OG = ^ X r. Again, if A'...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...perimeter of an inscribed or circumscribed regular polygon to the diameter. 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. 284). Also O G3 = O As — A G2= t...
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An Elementary Geometry

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...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 268 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...
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

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...
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Transmigration, Volume 2

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...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

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...
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Modern geometry [ed.] with an appendix by W.B. Jack

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...
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An Elementary Geometry: Plane, Solid and Spherical

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...
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Transmigration. 1883

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...
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