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" The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. "
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 93
by Benjamin Greenleaf - 1874 - 176 pages
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Transmigration, Volume 2

Edward James Mortimer Collins - 1874
...know it. Reason is a capital thing. Reason teaches you, after a few interviews with the birchrod, that the side of a regular hexagon inscribed in a circle is equal to the radius of that circle. A bee makes the hexagon without mathematical guidance . . . and makes honey as well. Instinct...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...perimeter of an inscribed or circumscribed regular polygon to the diamettr. For example, the side AB of a regular hexagon inscribed in a circle is equal to the radius; hence the perimeter is equal to three times the diameter (Fig. 122), and the perimeter of the circumscribed...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...circle, we have A = J(7X R But (47) 0 = 2* R = TtD Therefore A = \ X 2 n R X R = ir R * THEOREM XVII. 51i The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. In the circle whose centre is C draw the chord AD equal to the radius; AB is the side of a regular...
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Transmigration. 1883

Mrs. Mortimer Collins - 1883
...know it. Reason is a capital thing. Reason teaches you, after a few interviews with the birchrod, that the side of a regular hexagon inscribed in a circle is equal to the radius of that circle. A bee makes a hexagon without mathematical guidance . . . and makes honey as well. Instinct...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...stand each on an arc = four-sixths of the Oce , .-. these six angles are all equal. ///. 27 COR. — The side of a regular hexagon inscribed in a circle is equal to the radius. 1. If the points A, C, E be joined, A ACE is equilateral. 2. The area of an inscribed equilateral triangle...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...equal. Hence it is equiangular, and is therefore a regular hexagon inscribed in the circle. Cor. 1. — The side of a regular hexagon inscribed in a circle is equal to the radius. Cor. 2. — If three alternate, angles of a hexagon he joined, they form an inscribed equilateral triangle....
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...called the radius of a regular polygon. The radius of its inscribed circle is called its apothem. 437. The side of a regular hexagon inscribed in a circle is equal to the radius. For the sects from the center to the ends of a side make an isosceles triangle, one of whose angles...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...called the radius of a regular polygon. The radius of its inscribed circle is called its apothem. 437. The side of a regular hexagon inscribed in a circle is equal to the radius. For the sects from the center to the ends of a side make an isosceles triangle, one of whose angles...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 518 pages
...is equiangular : .'. the hexagon is regular, and it is inscribed in the 0 ABDF. QEF COROLLARY. Tlw side of a regular hexagon inscribed in a circle is equal to the radius of the circle. PROPOSITION 1C. PROBLEM. To inscribe a regular quindecagon in a given circle. A Let ABCD be the given...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...equiangular ; .'. the hexagon ABCDEF is regular, and it is inscribed in the O ABDF. QEF COROLLARY. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. SUMMARY OF THE PROPOSITIONS OF BOOK IV. The following summary will assist the student in remembering...
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