. Algebraic geometry; a new treatise on analytical conic sections . Pig. 13T. Biit SP = by = «.TM. 216 ART. 236.] PROPERTIES OF THE ELLIPSE. 235. Tangents to an ellipse subtend equal angles at the TP, TQ are the tangents, and TR, TR are perpendicularto SP, and SQ respectively, SR = = SR. Also in the A TSR, TSR thel at R and R are rt. l, :. ^TSR = iTSR, which proves the proposition. 236. To draw a tamgent at agiven point P on an ellipse. First method. Take either focusS, and join SP. Draw ST at rt. lto SP to meet the corresponding ^- directrix at T. Join
. Algebraic geometry; a new treatise on analytical conic sections . Pig. 13T. Biit SP = by = «.TM. 216 ART. 236.] PROPERTIES OF THE ELLIPSE. 235. Tangents to an ellipse subtend equal angles at the TP, TQ are the tangents, and TR, TR are perpendicularto SP, and SQ respectively, SR = = SR. Also in the A TSR, TSR thel at R and R are rt. l, :. ^TSR = iTSR, which proves the proposition. 236. To draw a tamgent at agiven point P on an ellipse. First method. Take either focusS, and join SP. Draw ST at rt. lto SP to meet the corresponding ^- directrix at T. Join PT. PT subtends a rt. l at the focus S, .. PT is the tangent at
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