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Advanced geometry for high schools : synthetic and analytical (1919)

McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 39

An illustration from Advanced geometry for high schools : synthetic and analytical, 1919, leaf 39
Let A, B be the centres of the circles. Describe a circle with centre O cutting the givencircles at C, D and E, F. Draw CD, EF and producethem to meet at P. Draw PM j_ AB. Draw tangentsPG, PH to the circles. Show that PM is the required radical axis. SYNTHETIC GEOMETRYSecond Method … Let A, B bo the centres of the two circles. Join AB. Through B draw BC _L AB cutting thecircle with centre B at C, and cut off BD equal tothe radius of the other circle. With centre A and radius AD describe an arc, andwith centre B and radius AC describe another arccutting the first at E. Draw EM…

Geometry · Geometry, Analytic

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