 | Euclid - 1904 - 488 sider
...point. 2. Find the locus of the centres of all circles of given radius, which touch a given circle. 3. If the distance between the centres of two circles is equal to the sum of their radii, then the circles meet in one point, but in no other ; that is, they touch one another. 184 PROPOSITION... | |
 | Euclid - 1908 - 456 sider
...argument to the preceding will show that all points within the circle O are internal to the circle O. 3. If the distance between the centres of two circles is equal to the sum of the radii, the two circumferences have one point common and one only, and that point is on the line... | |
 | University of South Africa - 1913 - 768 sider
...intercepted without the triangle, between the perpendicular and the obtuse angle. Properties of a Circle: If the distance between the centres of two circles is equal to the sum or the difference of the radii, the circumferences will have only one point in common which will be... | |
 | Euclid - 452 sider
...; whence all the points of the circumference of O are internal to the circle O '. PROPOSITION 12 3. If the distance between the centres of two circles is equal to the sum of the radii, the two circumferences have one point common and one only, and that point is on the line... | |
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If the distance between the centres of two circles is equal to the difference of their radii, the two circles will touch each other internally. 
