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" The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. "
Elements of Plane Geometry: For the Use of Schools - Page 82
by Nicholas Tillinghast - 1844 - 96 pages
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Arithmetic for Business with Short Methods and Rapid Calculations in All ...

Jacob Henry Minick, Clement Carrington Gaines - Business mathematics - 1904 - 412 pages
...2 V 2 RULE. — Divide the square of the diameter of the circle by 8, and extract the square root. The side of a regular hexagon inscribed in a circle is equal to the radiuf of the circle. EXAMPLES. ' 459. 1. Find the side of a square that can be cut from a circle 10...
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Handbook of Mathematics for Engineers and Engineering Students

Joseph Claudel - Mathematics - 1906 - 758 pages
...of a square inscribed in a circle of radius R is equal to V2 R (695). c : R = V2 : 1 and c = R V2. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. The side c of an equilateral triangle inscribed in a circle of radius R is equal to \/3...
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Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

International Correspondence Schools - Building - 1906 - 620 pages
...2, Art. 77, (6) Applying formula of Art. 71, c = 3.1416 X 10.67 = 33.52 in. Ans. (e) The length of the side of a regular hexagon inscribed in a circle is equal to the radios, ' = 5.335 in. Ans. (6) The volume of the shell is equal to the difference in the volura; of...
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Practical Algebra, 2d Course by Jos. V. Collins, Book 2

Joseph Victor Collins - Algebra - 1911 - 330 pages
...on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. 21. One side of a regular hexagon inscribed in a circle is equal to the radius. 22. One side of a regular decagon inscribed in a circle of radius r is x in the proportion r _ x X...
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Plane Geometry

John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 248 pages
...TfW — Y + (7)1- Why? 4. .-. a2 = 4R2— B* = 3R*, or a = JJV3 = 1.73205080 .-- S. 473. COROLLARY. The side of a regular hexagon inscribed in a circle is equal to the radius. 474. EXERCISES 1. If the radius of a circle is 1, find the side, the apothem, and the area of an inscribed...
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Advanced Algebra

Joseph Victor Collins - Algebra - 1918 - 360 pages
...on the hypotenuse of a right triangle equals the sum of the squares on the other two sides. 21. One side of a regular hexagon inscribed in a circle is equal to the radius. 22. One side of a regular decagon inscribed in a circle of radius r is x in the proportion r- _ x xr...
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A History of Greek Mathematics, Volume 1

Sir Thomas Little Heath - Mathematics - 1921 - 482 pages
...solution of the problem of circumscribing a circle about a triangle (Eucl. IV. 5), and the theorem that the side of a regular hexagon inscribed in a circle is equal to the radius (Eucl. IV. 15). But the most remarkable fact of all is that, according tę Eudemus, Hippocrates actually...
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Against the Grammarians (Adversus Mathematicos I)

Sextus Empiricus, Sextus (Empiricus.) - History - 1998 - 500 pages
...or zodiac circle. The 'grammic' proof referred to here is that in Euclid, Elements 4. 15, that each side of a regular hexagon inscribed in a circle is equal to the radius of the circle.292 If the earth is regarded as the centre of the heavenly sphere, a line drawn from the...
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Texas School Journal, Volume 22

Education - 1904 - 530 pages
...rotation about the center of the circle. Use the protractor to draw a regular pentagon. 43. Show that the side of a regular hexagon inscribed in a circle is equal to the radius of the circle, and use this fact to construct a regular hexagon. 44. Show how a regular octagon can be...
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