e equationwill reveal the properties of the curve. Definition,—A circle is the locus of a point whichmoves in a plane so as to be always at a constantdistance from a fixed point. The constant distance is called the radius, and thefixed point the centre of the circle. I. Equation of the Circle. ^… … (XV) M vX ference. Complete the figure as in the diagram.Then evidently CK= x - a, KF^ U -^] and [x-af + iy-lf^^r^which is therefore the equation of the circle (§ 8). It will be seen that the preceding equation expressesin algebraic language the characteristic property, orlaw, of the circle,…
Geometry, Analytic
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