Plane And Solid Geometry

Cover Plane And Solid Geometry
Plane And Solid Geometry
Elmer a Elmer Adelbert Lyman
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The figure formed by a chord and its subtended arc is a segment of a circle.
297. The figure formed by two radii and their inter- cepted arc is a sector.
298. An angle formed by two chords drawn from the same point in the arc of a segment to the extremities of its chord is inscribed in the segment.
Thus, Z DEC is an inscribed angle, cegf is a segment, AOB is a sector, and Z EFC is inscribed in the segment CEGF.
299. A polygon is inscribed in a circle, or a circle is circumscribed about a polygo
...n, if the vertices of the polygon are in the circum- ference.
300. A polygon is circumscribed about a circle, or a circle is inscribed in a polygon, if the sides of the polygon are tangent to the circle.
301. Exercise. 1. Perpendiculars erected at > the mid- points of the sides of a triangle inscribed in a circle pass through the center. Is this true for all inscribed polygons ?
2. Draw two circles so that they can have but one com- mon tangent; two common tangents; three common tan- gents; four common tangents; no common tangent.


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