Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 51
r, they willintercept equal arcs. Let the tangent ABC be parallel to thechord DF: then will the intercepted arcsDB, BF, be equal to each other. For, draw the chord DB. Then, sinceAC and DF are parallel, the angle ABDwill be equal to the angle BDF. ButABD being formed by a tangent and achord, will… … THEOREM XVI The angle formed within a circle by the intersection of twochords, is measured by half the sum of the intercepted arcs. Let the two chords AB and CD inter-sect each other at the point E: then willthe angle AEC, or its equal DEB, bemeasured by half the sum of the inter-cepted arcs AC,…
Geometry · Plane trigonometry
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