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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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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 80 pages
...regular polygon. Proposition IV. A Problem. 269. I. Given a regular inscribed polygon, to construct me having double the number of sides. II. Given a regular...The side of a regular inscribed hexagon is equal to be radius of the circumscribed circle. Proposition VII. A Problem. 272. To inscribe a regular hexagon...
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The Ohio Educational Monthly and the National Teacher: A Journal ..., Volume 38

Education - 1889 - 762 pages
...to construct the triangle. 5. To what is the area of a trapezoid equal ? Demonstrate. 6. Prove that the side of a regular inscribed hexagon is equal to the radius. 7. What is the sum of the angles of a nonagon? What is the regular polygon, one of whose exterior angles...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...whose center is C is any circle, and as abcefg is any inscribed hexagon, it follows, in general, that : The side of a regular inscribed hexagon is equal to the radius of the circle ; and the area is equal to Scholium. A regular inscribed hexagon may be constructed by using...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...To find the length of one side and the area of any inscribed or circumscribed square. PROP. XVIII. The side of a regular inscribed hexagon is equal to the radius of a circle. PROP. XIX. The perimeter and apothem of a regular inscribed polygon of any number of sides...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...square in a given circle. 275. Problem. To inscribe a regular hexagon in a given circle. 276. Corollary. The side of a regular inscribed hexagon is equal to the radius of the circle. 277. Problem. To inscribe a regular decagon in a given circle. CHAPTER II. The Proving of Theorems....
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 400 pages
...four right angles, and AB is a side of a regular inscribed hexagon. (§ 345, I.) 355. COR. I. Tlift side of a regular inscribed hexagon is equal to the radius of the circle. 356. COR. II. By joining the alternate vertices of the hexagon, there is formed an inscribed...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...obtain ^ACBD, thence ^ ACBD, and so on to any arc denoted by - — — ACBD. »> x Łn QED 408. COR. The side of a regular inscribed hexagon is equal to the radius of the circle. PROPOSITION XIV. THEOREM. 409. A circumference can be divided into 5, 10, 20, ••• equal...
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 408 pages
...inscribe a regular hexagon in a circle, apply the radius six times as a chord. QEF 828. COR. 1.—The side of a regular inscribed hexagon is equal to the radius of the circle. 329. COR. 2.—By joining the alternate vertices of the regular hexagon an equilateral triangle...
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The Essentials of Geometry (plane)

Webster Wells - Geometry - 1898 - 250 pages
...circumference. (§ 154) Then, AB is a side of a regular inscribed hexagon. (§ 344, I.) 354. Cor. I. The side of a regular inscribed hexagon is equal to the radius of the circle. 355. Cor. II. If chords be drawn joining the alternate vertices of a regular inscribed hexagon,...
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The Essentials of Geometry

Webster Wells - Geometry - 1899 - 424 pages
...circumference. (§ 154) Then, AB is a side of a regular inscribed hexagon. (§ 343, 1.) 354. Cor. I. The side of a regular inscribed hexagon is equal to the radius of the circle. 355. Cor. II. If chords be drawn joining the alternate vertices of a regular inscribed hexagon,...
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