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 110
radius of N, Now, if 00<0A + OB, and > OA—OB,M and N intersect. For, when 00 > OA, 00< OA + OB gives 00 — OA(= AO) < OB ; and when Fig. 147. 00 < OA, 00 > OA - OB gives OB > OA - 00 (= AO)- Hence thenearest point in M to 0 lies within N. Again, to the first memberof 00 >… … ♦ Read OB is equal to or less tliau 0A- 90 ELEMENTARY PLANE GEOMETRY. therefore, M has oue pomt at least within N and one without, M and N inter-sect. Q. E. D. 189, CoE.—Conversely, WJien tiuo circumferences intersect, thedistance heticeen their centres is less than the sum and greater thanthe…
Geometry · Trigonometry
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