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Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)

McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 198

An illustration from Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students, 1881, leaf 198
ous that a circle described with any point on theradical axis of two circles as centre and one of the equal tangentsfrom this point to the circles as radius cuts both circles orthogo-nally. 201. If two circles do not meet one another, any systemof circles cutting them orthogonally always passes… … axis. From any point C in their radical axis CO draw the tangentsCD and CE, and from the centre C at the distance CD or CEdescribe the circle DFFE cutting AB in F and F. Then shall Fand F be fixed points. For, in the triangle ACF the difference 170 EXERCISES ON EUCLID [201. of the squares of the…

Geometry

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