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Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students (1862)

Mulcahy, John, 1810?-1853 · Dublin Hodges, Smith · leaf 65

An illustration from Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students, 1862, leaf 65
respectto the circle whose centre is A; that is, this polar passes throughthe point S. It is evident that a similar result will hold if thepolar of R be taken with respect to any other circle of the system,for instance that whose circle is B. Exactly in the same way itappears that the polars of S… … THE RADICAL AXIS. 55 the polars of the given point, with respect to the circles of thesystem, shall all pass. The question is manifestly reduced to this :— Through a given point to describe a circle, so as to cutorthogonally a given system of circles having a common radicalaxis. This may be done as…

Geometry -- Problems, exercises, etc · Geometry

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More pictures from Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students

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