An elementary treatise on geometry : simplified for beginners not versed in algebra (1833)
Grund, Francis J. (Francis Joseph), 1805-1863 · Boston : Carter, Hendee & Co. · leaf 122
The figure MNPQRS, circumscribed about thecircle, is a regular polygon, of the same number of sidesas the inscribed polygon, ABCDEF. Q. How can you prove this ? A. The chords AB, BC, CD, &,c., are perpendicularto the same radii, to which the tangents MN, NP, PQ,&c., are perpendicular;… … 118 GEOMETRY. and therefore the triangles ABO, BCO, CDO, &,c., areall similar to the triangles MNO, NPO, PQO, &i.c., fromwhich they may be considered as cut off, by the linesAB, BC, CD, &LC. being drawn parallel to the sides MN,NP, PQ, &c. (auery 16, Sect. II.) Now, as the…
Geometry, Plane
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