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" The center of a regular polygon is the common center of the circumscribed and inscribed circles of the polygon. "
The Elements of Geometry - Page 208
by Walter Nelson Bush, John Bernard Clarke - 1905 - 355 pages
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The High School Arithmetic: Containig All the Matter Usually Presented in a ...

Philotus Dean - Arithmetic - 1874 - 472 pages
...circumference. The centre of a regular polygon is the centre of either the inscribed or circumscribed circles. The radius of a regular polygon is the radius of the circumscribed circle. The apothem of a regular polygon is the radius of the inscribed circle. The altitude of a parallelogram...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - Geometry - 1876 - 384 pages
...The center of a regular polygon is the common center of the inscribed and circumscribed circles. 2. The radius of a regular polygon is the radius of the circumscribed circle. 3. The apothem of a regular polygon is the radius of the inscribed circle. 5. The straight lines joining...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...The Centre of a regular polygon is the common centre of the circumscribed and inscribed circles. 2. The Radius of a regular polygon is the radius of the circumscribed circle. 3. The Apothem of a regular polygon is the radius of the inscribed circle. REGULAR POLYGONS AND CIRCLES....
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...from O. (See Art. 153.) SUG. 2. Can a circle be inscribed in the polygon ABCDEF1 Therefore • 294. The radius of a regular polygon is the radius of the circumscribed circle. The apothem of a regular polygon is the radius of the inscribed circle. The center of a regular polygon...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...Complete the demonstration. Therefore — QUERY : How many sides has polygon AD ? See the theorem. 351. The radius of a regular polygon is the radius of the circumscribed circle. 352. The apothem of a regular polygon is the radius of the inscribed circle. 353. The center of a regular...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...through all (372), and that described tangent to one side will be tangent to all (373). 375. DEFINITION. The center of a regular polygon is the common center of the inscribed and circumscribed circles. 376. DEFINITION. The radius of a regular polygon is that of the circumscribed circle. 378. DEFINITION....
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...through all (372), and that described tangent to one side will be tangent to all (373). 375. DEFINITION. The center of a regular polygon is the common center of the inscribed aud circumscribed circles. 376. DEFINITION. The radius of a regular polygon is that of the circumscribed...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...number of sides). Hint. — By § 66 the sum of all the angles is in— 4 right angles. 464, Def. — The radius of a regular polygon is the radius of the circumscribed circle, that is, the line from the centre to a vertex. 465, Def. — The apothem of a regular polygon is the...
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Plane Geometry

George D. Pettee - Geometry, Plane - 1896 - 272 pages
...centre O LŠ, = by hyp. J O described about O as a centre, with radius OF (J. to ED), 227. Definitions. The radius of a regular polygon is the radius of the circumscribed circle, as OE. The apothem of a regular polygon is the radius of the inscribed circle, as OF. The central angle...
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Elements of Geometry, Volume 1

Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...number of sides). Hint. — By § 66 the sum of all the angles is 2n—4 right angles. 464. Def. — The radius of a regular polygon is the radius of the circumscribed circle, that is, the line from the centre to a vertex. 463. Def. — The apothem of a regular polygon is the...
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