Plane geometry, with problems and applications (1910)
Slaught, H. E. (Herbert Ellsworth), 1861-1937, Lennes, N. J. (Nels Johann), 1874- joint author · Boston, Allyn and Bacon · leaf 191
ruction of regular polygons of 3, 4, and6 sides, § 163, Exs. 3, 4, 5. 178 PLANE GEOMETRY. 335. Theorem. If a circle is divided into any nvm-her of equal arcs, the chords joining the division points,taken in order, form a regular polygon. Proof : Show (1) that the chords are equal; (2) thatthe… … Given the O OA divided into equal arcs by the points M, N, P, etc.,with tangents drawn at these points forming the polygon ABCDEF. To prove that ABCDEF is a regular polygon. Analysis of Proof: (1) To prove that AB = BC= CD, etc.■ We know that BP = BN (Why ?). Hence, if we can show that AN = NB and…
Geometry, Plane
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