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" The side of a regular inscribed hexagon is equal to the radius of the circle. "
Principles of Plane Geometry - Page 59
by James Wallace MacDonald - 1894 - 65 pages
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...the difference of the radii. RATIO OF THE CIRCUMFERENCE TO THE DIAMETER. FIRST METHOD. We know that the side of a regular inscribed hexagon is equal to the radius (T. IX.). If we suppose, then, the radius E = 1, we can find the side of a regular inscribed polygon...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 474 pages
...the difference of the radii. RATIO OF THE CIRCUMFERENCE TO THE DIAMETER. F1RST METHOD. We know that the side of a regular inscribed hexagon is equal to the radius (T. IX.). If we suppose, then, the radius R = 1, we can find the side of a regular inscribed polygon...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...the centre to any side, and is the radius of the inscribed circle. PROPOSITION XXIL 271. Theorem. — The side of a regular inscribed hexagon is equal to the radius. DEM.— Let ABCDEF be a regular inscribed hexagon ; then is any side, as BC, equal to OB, the radius....
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1872 - 472 pages
...the centre to any side, and is the radius of the inscribed circle. PROPOSITION XXIL 271. Theorem. — The side of a regular inscribed hexagon is equal to the radius. ~/n .. 'м . DEM. — Let ABCDEF be a regular inscribed hexagon ; then is any side, as BC, equal to...
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Annual Statement, Volumes 11-20

1876 - 646 pages
...the products of the sides including the equal angles. 3. To inscribe A circle in a given triangle. 4. The side of a regular inscribed hexagon is equal to the radius of the circumscribed circle. 5. Define the term locus and give an example of a plane locus. When are two points said to be symmetrical...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...circumference (151), (153) ; hence, the triangle ABC is equiangular, and therefore equilateral. Therefore, the side of a regular inscribed hexagon is equal to the radius. Hence, to inscribe a regular hexagon in a given circle, apply the radius, as a chord, six times to...
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Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - Conic sections - 1876 - 412 pages
...regular inscribed and circumscribed polygons having 8, 16, 32, &c., sides. PROPOSITION VIII. THEOREM. The side of a regular inscribed hexagon is equal to the radius. Let ACDEFG be a regular hexagon inscribed in the circle OA. Draw the radii OA and OC. The angle COA...
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Selected Propositions in Geometrical Constructions and Applications of ...

Adrien Marie Legendre - Geometry - 1882 - 194 pages
...pentagon, da side of the decagon, and r the radius of the circle, we have f = & + r1 (E. 20) ; but the side of a regular inscribed hexagon is equal to the radius of the circle (P. IV), hence calling the side of the hexagon h, we have whence h1 = p* — <P . and substituting...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...difference between the length of the chord and that of its subtended arc. The chord of 60, being the side of a regular inscribed hexagon, is equal to the radius. - - - - Ch. 71X", Prob. XXIII. But, in the present instance, the radius = 1. Hence, the chord of 60=...
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Annual Report of the Board of Education and the Superintendent of Public ...

New Jersey. State Board of Education - Education - 1888 - 692 pages
...that the area of a triangle is equal to one-half the product of its base and altitude. 5. Prove that the side of a regular inscribed hexagon is equal to the radius of the circle. rods up the river, where he placed a stake ; and 6 feet farther on took his station. Then he...
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