GEOMETRIC CONSTRUCTION OF THE REGULAR DECAGON AND PENTAGON INSCRIBED IN A CIRCLE

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1904
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Էջ 8 - THE square of the side of a regular pentagon inscribed in a circle, is equal to the squares of the sides of a regular hexagon and regular decagon, inscribed in the same circle.
Էջ 7 - ... 1904. 12°. xx, 416 p. Illus. and folded map. (Highways and Byways Series.) [1] Luce, Robert. The primary election, a series of ten articles published in Public Policy from Oct. 3 to Dec. 5, 1903. Full text of the Massachusetts primary election law. Chicago, [1903]. 12°. 59 p. [3] Ludlow, Henry Hunt. Geometric construction of the regular decagon and pentagon inscribed in a circle.
Էջ 7 - Hence it follows, from the construction, that the side of a regular decagon inscribed in a circle is equal to the greater segment of the radius cut in extreme and mean ratio.
Էջ 10 - BC is a perpendicular from a point of a semi-circumference to the diameter, it is a mean proportional between the segments of the diameter, giving EB : BC :: BC : BG.

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