. Algebraic geometry; a new treatise on analytical conic sections . ART. 122.] BOLAE EQUATION OF A CIRCLE. 115 121. Tofmd the equation of the tangent to the cirele «•= 2acos 6 atthe point (r^ 6-^). Let P be the point(rj, ^i), G the centre^PK the tangent, OKthe perpendicular onthe tangent from theorigin. = ^OPC = ^POC .. OK = OP cos ^j= rj cos ^j= 2acos2ei. Also^KOa! = 2e^; the equation of. PK IS Fio. 76. ^ = rcos{6 - 26^). [ r cos(e - a)] 122. To find the polar equation of a circle which passes throughthe origin and has its centre at the point (a, a). Let P(r, 6) be any pt. P(K
. Algebraic geometry; a new treatise on analytical conic sections . ART. 122.] BOLAE EQUATION OF A CIRCLE. 115 121. Tofmd the equation of the tangent to the cirele «•= 2acos 6 atthe point (r^ 6-^). Let P be the point(rj, ^i), G the centre^PK the tangent, OKthe perpendicular onthe tangent from theorigin. = ^OPC = ^POC .. OK = OP cos ^j= rj cos ^j= 2acos2ei. Also^KOa! = 2e^; the equation of. PK IS Fio. 76. ^ = rcos{6 - 26^). [ r cos(e - a)] 122. To find the polar equation of a circle which passes throughthe origin and has its centre at the point (a, a). Let P(r, 6) be any pt. P(K0J
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