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" The side of a regular hexagon inscribed in a circle is equal to the radius of the circle. "
First lessons in Plane Geometry. Together with an application of them to the ... - Σελίδα 175
των Francis Joseph Grund - 1830 - 12 σελίδες
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A New and Enlarged Military Dictionary: Or, Alphabetical Explanation of ...

Charles James - 1805 - 1236 σελίδες
...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...

A Military Dictionary: Or, Explaination of the Several Systems of Discipline ...

William Duane - 1810 - 774 σελίδες
...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...

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 516 σελίδες
...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...

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 508 σελίδες
...(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...

Elements of Geometry: With Notes

John Radford Young - 1827 - 228 σελίδες
...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 Dictionary of the Military Science: Containing an Explanation of the ...

E. S. Norman Campbell - 1830 - 304 σελίδες
...Polygon consisting of seven sides and angles. HEXAGON. A geometrical figure having six sides and angles. The side of a regular Hexagon inscribed in a circle, is equal to the radius of that circle. Hence, a regular Hexagon may be inscribed in a circle, by applying the radius six times...

An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Μέρος 1

Francis Joseph Grund - 1834 - 204 σελίδες
...straight lines, the rectilinear figure, thus inscribed in the circle, is a regular polygon of as many sides, as there are parts into which the circumference...bisecting the sides of a regular inscribed polygon, and 12* 138 GEOMETRY. then, at the extremities of these radii, tangents are drawn to the circle, these...

An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Μέρος 1

Francis Joseph Grund - 1834 - 202 σελίδες
...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,...

A complete treatise on practical land-surveying

Thomas Holliday - 1838 - 404 σελίδες
...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 on Ihe, Base...

A Treatise on Plane and Spherical Trigonometry: Including the Construction ...

Enoch Lewis - 1844 - 234 σελίδες
...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 the chord...




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