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" The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 116
by Francis Joseph Grund - 1834 - 190 pages
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...supposed to be drawn from b to d, bisects the vertical angle bed. PROPOSITION V. THEOREM. Tlte side o/ a regular hexagon inscribed in a circle is equal to the radius of (hat circle. Let ABCDEF be a regular hexagon inscribed in a circle, the centre of which is O, then...
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General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848 - 520 pages
...showing that the fraction ftrc is the measure of the angle subtended by the arc at the radius centre. 9. The side of a regular hexagon inscribed in a circle, is equal to the radius. Show also from having an inscribed regular polygon given, how to inscribe another in a circle, having...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...Л the hexagon is eq. lat. and eq. angular, and it is inscribed in 0 AC Е. Q. в. F.' Coв. 1. — The side of a regular hexagon inscribed in a circle is equal to the radius, or semi-diameter, of the circle ; or, in other words, ike chord of 60° is equal to the radius. DI...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...inscribed square is to the radius as the square root of 2 is to unity. D PROPOSITION V. — THEOREM. 355. 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 centre of which is 0 ; then...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 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 is equal to the radius of the circle. Let ABCDEF be a regular hexagon inscribed in a circle, the centre of which is O; then any...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 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 is equal to the radius of the circle. Let ABC DEF be a regular hexagon inscribed in a circle, the center of which is 0 ; then...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

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...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 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 is equal to the radius of the circle. Let ABC DEF be a regular hexagon inscribed in a circle, the centre of which is 0 ; then...
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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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