| Olinthus Gregory - 1863 - 482 pages
...: A Bs=3 A D'. 44. A square inscribed in a circle, is equal to twice the square of the radius. 45. **The side of a regular hexagon inscribed in a circle, is equal to the radius of the circle** ; BE= B c. 46. If two chords in a circle mutually intersect at right angles, the sum of the squares... | |
| Benjamin Greenleaf - Geometry - 1863 - 502 pages
...The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. Let ABCDEP **be a regular hexagon inscribed in a circle, the center of which is** 0; then any side, as BC, will be equal to the radius OA. JD Join B 0; and the angle at the centre,... | |
| Benjamin Greenleaf - Geometry - 1866 - 328 pages
...inscribed square is to the radius as the square root of 2 is to unity. PROPOSITION V. — THEOREM. 355. **The side of a regular hexag-on inscribed in a circle is equal to the radius of the circle. Let** ABCDEF be a regular hexagon inscribed in a circle, the centre of which is 0 ; then any side, as BC,... | |
| Benjamin Greenleaf - 1868 - 338 pages
...inscribed square is to the radius as the square root of 2 is to unity. PROPOSITION V. — THEOREM. 355. **The side of a regular hexagon inscribed in a circle...DEF be a regular hexagon inscribed in a circle, the** centre of which is 0 ; then any side, as BC, will be equal to the radius 0A. Join B 0 ; and the angle... | |
| Richard Wormell - Geometry, Plane - 1868 - 261 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'... | |
| Benjamin Greenleaf - 1869 - 516 pages
...inscribed square is to the radius as the square root of 2 is to unity. PROPOSITION V. — THEOREM. 356. **The side of a regular hexagon inscribed in a circle...DEF be a regular hexagon inscribed in a circle, the** centre of which is 0; then any side, as BC, will be equal to the radius 0A. Join B 0 ; and the angle... | |
| Richard Wormell - Geometry, Plane - 1870 - 16 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°... | |
| William Frothingham Bradbury - Geometry - 1872 - 238 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 of a regular... | |
| 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 of a regular... | |
| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...circle may be circumscribed about, and another inscribed in, any regular polygon. LetABCDEFGHbe&nyregu- **G lar polygon ; then a circle may be circumscribed...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 any side, as BC,... | |
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