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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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Executive Documents, Minnesota ..., Volume 1

Minnesota - 1903 - 1096 pages
...(Explain.) 4. Prove that an inscribed angle is measured by one-half of its Intercepted arc. 5. Prove that the side of a regular inscribed hexagon is equal to the radius of the circle. 6. Prove that the perpendiculars drawn from the vertices of the equal angles of an isosceles...
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Elementary Geometry: Plane

James McMahon - Geometry, Plane - 1903 - 380 pages
...inscribe a regular hexagon. Outline. Bisect the arcs AB, BC, CA, and draw the six chords. Ex. Prove that the side of a regular inscribed hexagon is equal to the radius of the circle. Hence give another method of inscribing a regular hexagon. 120. Cor. 2. To inscribe regular...
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Graded Arithmetic, Book 7

George F. Cole - 1909 - 368 pages
...kind of figure has been constructed? Why? What has been learned from the construction? The side of any regular inscribed hexagon is equal to the radius of the circumscribed circle. Construct a regular hexagon. Construct an equilateral triangle in the regular hexagon. TO FIND THE...
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I.C.S. Reference Library, Volume 1

Correspondence schools and courses - 1909 - 870 pages
...centering for an arch, Fig. 83, 8 feet in diameter, is made of three pieces of equal length. Knowing that the side of a regular inscribed hexagon is equal to the radius, what should be the length. Ans. 4.62 ft., or 4 ft. 7 in., nearly PIG. 83 as AB, of each piece? SUGGESTION.—...
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Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...construction. . ' . 2 AOB = | rt. % or fa a perigon. 162 .-. the arc AB is fa the O. 476. COR. 1. The side of a regular inscribed hexagon is equal to the radius of the circle. 477. COR. 2. The chords joining the alternate vertices of a regular inscribed hexagon form...
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Constructive Text-book of Practical Mathematics, Volume 3

Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...determine what transformations and substitutions are required to finish the demonstration. VII THEOREM 20 A side of a regular inscribed hexagon is equal to the radius of the circle. Connect with the center any two adjacent vertices. Ratio of the Circumference to the Diameter....
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Constructive Text-book of Practical Mathematics, Volume 2

Horace Wilmer Marsh, Annie Griswold Fordyce Marsh - Mathematics - 1914 - 270 pages
...what transformations and substitutions are required to finish the demonstration. VII THEOREM 20 A aide of a regular inscribed hexagon is equal to the radius of the circle. Connect with the center any two adjacent vertices. Ratio of the Circumference to the Diameter....
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Constructive Text-book of Practical Mathematics, Volume 4

Horace Wilmer Marsh - Mathematics - 1914 - 264 pages
...Equilateral triangle with radius =2.24 inches. 32. Side of a Hexagon. Prove by a trigonometric method that the side of a regular inscribed hexagon is equal to the radius. Prove it also by a geometric method. 33. Area of a Right Triangle. Draw a right triangle and denote...
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Second-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...line into mean and extreme ratio, upon which the construction of the regular decagon depends. That the side of a regular inscribed hexagon is equal to the radius of the circle was known in substance to the ancient Babylonians. Hippocrates (440 BC) mentions this property...
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What is Mathematics?: An Elementary Approach to Ideas and Methods

Richard Courant, Herbert Robbins - Juvenile Nonfiction - 1996 - 596 pages
...regular inscribed pentagon. Fig . (0. InUmction of two lines. Let A be any point on the given circle K. The side of a regular inscribed hexagon is equal to the radius of K. Hence we can find points B. C,DonK such that AB = C = 6b = 60 (Fig. 51). With A B K Fig. II....
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