| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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°=... | |
| 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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