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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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A New and Enlarged Military Dictionary: Or, Alphabetical Explanation of ...

Charles James - English language - 1805 - 1236 pages
...being fortified with б bastions. If the sides and angles be equal, it is called a regular hexagon. The side of a regular hexagon inscribed in a circle is equal to the radius of that circle; hum ea regular hexagon is inscribed in a circle, by setting the radius oí tí times upon the pelip'.iory:...
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A Military Dictionary: Or, Explaination of the Several Systems of Discipline ...

William Duane - Electronic books - 1810 - 774 pages
...being fortified with ft bastions. If the sides and angles be equal, it is called a regular hexagon. The side of a regular hexagon inscribed in a circle, is equal to the radius of that circle; hence a regular hexagon is inscribed in a circle, by setting the radius of 6 times upon the periphery:...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 516 pages
...equal (Cor. 2. 29. 3), which hexagon is therefore regular (Schol. 6. 4. and Def. 7. 4). Cor. 1. — The side of a regular hexagon, inscribed in a circle, is equal to the radius. For, in the above construction, AB one of the sides of the inscribed hexagon, is equal to the radius...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 508 pages
...(Cor. 2. 29. 3), which hexagon is therefore regular (Schol. 6. 4. and Def. 7. 4). It A. Cor. 1.—The side of a regular hexagon, inscribed in a circle, is equal to the radius. For, in the above construction, AB one of the sides of the inscribed hexagon, is equal to the radius...
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 228 pages
...equivalent in surface, circumscribed about equal circles, are also equal in perimeter. i PROPOSITION VI. THEOREM. The side of a regular hexagon inscribed in...radius of that circle. Let ABCDEF be a regular hexagon inscribed in a circle, the centre of which is O, then a side as BC will be equal to the radius OD....
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Elements of Geometry: With Notes

John Radford Young - Euclid's Elements - 1827 - 246 pages
...equivalent in surface, circumscribed about equal circles, are also equal in perimeter. PROPOSITION VI. THEOREM. The side of a regular hexagon inscribed in a circle, is ELEMENTS OF GEOMETRY. the centre of which is O, then a side as BC will be equal to the radius OD. For...
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...the angles which these radii make with each other at the centre, are all equal to one another. 30. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. 31. If from the centre of a circle radii are drawn, bisecting the sides of a regular inscribed...
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Elements of Geometry with Notes

John Radford Young - Geometry, Modern - 1833 - 240 pages
...equivalent in surface, circumscribed about equal circles, are also equal in perimeter. PROPOSITION VI. THEOREM. The side of a regular hexagon inscribed in a circle, is equal to the radius of thai circle. Let ABCDEF be a regular hexagon inscribed in a circle, the centre of which is O, then...
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Part 1

Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...inscribed hexagon bears to the radius of that circle? (See the figure belonging to the last Query.) A. The side of a regular hexagon inscribed in a circle, is equal to the radius of that circle. Q. Why? A. Because each of the triangles ABO, BCO, CDO, &c., is in the first place isosceles, two of...
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Part 1

Francis Joseph Grund - Geometry, Plane - 1834 - 202 pages
...the angles which these radii make with each other at the centre, are all equal to one another. 30. The side of a regular hexagon inscribed in a circle, is equal to the radius of the circle. 31. If, from the centre of a circle, radii are drawn, bisecting the- sides of a regular...
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