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A school geometry. containing the substance of Euclid books II anfd III and part of book IV (1917)

Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1852-1933 · London : Macmillan · leaf 26

An illustration from A school geometry. containing the substance of Euclid books II anfd III and part of book IV, 1917, leaf 26
and the ^ OMP will coincide with the _ OMQ,.*. these angles, being adjacent, are rt. z.;.•. the points P and Q are symmetrically opposite withregard to AB. Hence, conversely, if a circle passes through a given point P,it also passes through the symmetrically opposite point with regardto any… … Let 0, O be the centres of two circles, and let the st. linethrough O, O cut the O* at A, B and A, B. Then AB andAB are diameters and therefore axes of symmetry of theirrespective circles. That is, the line of centres divides eachcircle symmetrically. 111. If tvjo circles cut at one point, they…

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