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" The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 106
by Francis Joseph Grund - 1834 - 190 pages
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A New and Enlarged Military Dictionary: Or, Alphabetical Explanation of ...

Charles James - English language - 1805 - 1142 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 - English language - 1810 - 778 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 - 208 pages
...surface, circumscribed about equal circles, are also equal in perimeter. i PROPOSITION VI. THEOREM. The side of a regular hexagon inscribed in a circle, is equal to the 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...
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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
...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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A complete treatise on Practical Land-Surveying, etc

Thomas Holliday - Surveying - 1838 - 404 pages
...eight, a nonagon of nine, a decagon of ten, an undecagon of eleven, and a duodecagon of twelve sides. 2. The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. Lintf hoiv fei ou-t j DCFE 0 CB c B Beat, 2.5 Liru/ AT Basc. of Offsets *r Perpendiculars...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...the sides including the equal angles proportional, are similar (B. VI. Def. 1). PROP. II. THEOREM. The side of a regular hexagon, inscribed in a circle, is equal to the radius of that circle. Let ABCDEF be a regular hexagon. Now since the arcs subtended by equal chords are equal, the three...
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A Treatise on Plane and Spherical Trigonometry: Including the Construction ...

Enoch Lewis - Conic sections - 1844 - 228 pages
...same arcs, are likewise the tangents of the angle at A. ART. 26. It appears from cor. to 15.4, that the side of a regular hexagon, inscribed in a circle, is equal to the radius of the circle. But the side of a regular hexagon, inscribed in a circle, subtends an arc of 60° ; hence...
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