| 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... | |
| 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... | |
| 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... | |
| 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.—... | |
| 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... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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... | |
| 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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