. Algebraic geometry; a new treatise on analytical conic sections . correspondingdirectrix, e the eccentricity, draw the curve, when : 1. SX=2 inches, e= SX = 1 inch, e= the following curves :(a>-2)2 2. SX=2 inches, e=f. 4. -+y=l. 5. 9a;2+4jf2+18a:-l7. !E= + V + 4a;=0. /=23. 6, 4a;2+25i/2-l(%=0. 8. ix+y^+8x-4y + 4 = 0. 9. Given that the distance between the foci of an ellipse is 2J inches,and that its major axis is 3 inches long, find a number of points on thecurve and draw it. 10. Find a number of points on, and draw, an ellipse whose axes are4 and 2 inches long respectively. S,
. Algebraic geometry; a new treatise on analytical conic sections . correspondingdirectrix, e the eccentricity, draw the curve, when : 1. SX=2 inches, e= SX = 1 inch, e= the following curves :(a>-2)2 2. SX=2 inches, e=f. 4. -+y=l. 5. 9a;2+4jf2+18a:-l7. !E= + V + 4a;=0. /=23. 6, 4a;2+25i/2-l(%=0. 8. ix+y^+8x-4y + 4 = 0. 9. Given that the distance between the foci of an ellipse is 2J inches,and that its major axis is 3 inches long, find a number of points on thecurve and draw it. 10. Find a number of points on, and draw, an ellipse whose axes are4 and 2 inches long respectively. S, S being the foci and AA the major axis of an ellipse, draw the curvein each of the following cases : 11. SS = 8 cms., AA = 13 cms. 12. SS=4 in., AA = 6 in. 13. SS = 6 cms., AA=9 cms. 14. SS = 8 cms., AA = 16 cms. 204. Tangents are dravm to the ellipse -2 + |2=-^ /* the point equation of their dwrdof contact. Let R be the point(Xl^i); RQ, RQ thetangents. Let (^j, ^j) be thecoordinates of Q,(^21 ^2) ^^ co-ordin-ates of Q. The equation ofRQ, the tangent atQ, is 1?. Fio. 121. 1+ The equation of RQ, the tangent at Q, is xh„ + J2 - ^- ART. 805.] POLE AND POLAR. But the point R (a;,, y-^ is on both these lines, and _0 t M ~ •j • 191 ■■(1)..(2) .-. y + M ^ 1^ or S + ^1 = 1 is the equation reqd. For firstly, it represents a straight from (1) we see that (a(A], h^ lies on this line,and „ (2) „ Q:{h^,h^ „ .. it is the equation of QQ, the chord of contact. 205. To find the polar of the point (aii, y-^ mth respect to the ellipse
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