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 115
102 PLANE GEOMETRY. 222. Theorem. The angle formed by two secants,two tangents, or a tangent and a secant, meeting outsidea circle, is measured by one half the difference of theintercepted arcs. … Outline of Proof: In each case the given angle is equalto Z. 1, and the arc which measures Z1 is the differencebetween two arcs, one of which is the larger of the twointercepted arcs and the other is equal to the smaller.For instance, in the first figure, FS=DF—iDH = m— BE.Give the proof in detail…
Geometry, Plane
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