Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 240
k + h sec w CHAPTER XII. THE ELLIPSE. 247. The ellipse is a conic section in which theeccentricity e is less than unity. To find the equation to an ellipse. Let ZK be the directrix, S the focus, and let SZ beperpendicular to the directrix. … There will be a point A on SZ, such that SA = e.AZ (1). Since e < 1, there will be another point A\ on ZS produced,such that SA = e.AZ (2). L. 15 226 COORDINATE GEOMETRY. Let the length A A! be called 2<a^, and let C be the middlepoint of AA, Adding (1) and (2), we have la=-AA! = e{AZ^A:Z) =…
Coordinates · Geometry, Analytic
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