A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 101
, arc A;wB = arc Cr^D. Draw the per-pendiculars OL and ON from the centres to the chords. Conceive the planeof circle 0 placed upon circle p, so that CD shall fall upon its equal AB, andO be on the same side of AB as 0. Since L and N are the middle points ofthe equal chords, they will coincide; and… … Fig. 134. PROPOSITION T. 166* Tlieoreni,—In the same or in equal circles, the less oftwo arcs has the shorter chord; and, conversely, the shorter chordsubtends the less arc. Dem.—Let 0 and 0 be the centres of two equal circles, and arc AwB be less than arc C/iD; then ischord A3 < chord…
Geometry · Trigonometry
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