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
e point A, where M cuts the line join-ing the centres, is between 0 and 0, sinceOA < 00 by hypothesis. Moreover, Ais the nearest point in M to the centre 0.Again, as 00 = 00 + OC, subtracting OAfrom the first member, and its equal 00 fromthe other, we have OA = OC; that is, A is inthe… … to each ISO, Cor. 1.—Conversely, Wlien two circumferences are tangentto each other externally, the distance betiveen their centres is equal tothe sum of their radii. Dem.—M being tangent to N externally, the point in M nearest the centre Omust be in N, while all other points in M are exterior to N.…
Geometry · Trigonometry
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