Sketch the graph of the ellipse \(\ds \frac{x^2}{9}+\frac{y^2}{16}=1\) and determine its foci. Let \(C\) be the conic which consists of all points \(P=(x,y)\) such ...
(a) \(\ds e=\frac{1}{2}\text{.}\) (b) Use the fact that, for \(P=(x,y)\text{,}\) \(\ds |PF|^2=x^2+(y-1)^2\) and \(\ds |Pl|=\frac{1}{2}|y-4|\text{.}\) (c) From \(\ds ...
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MR. TAYLOR's present work is by no means a second edition of his “Geometrical Conies”(1863). His object in this volume is a highly laudable one; from more than one quarter has recently come the ...
From Figure a. it is apparent that the distance from one focus, to a point in the orbit, to the other focus is a constant. From Figure b. it appears that areas encompassed between two points in an ...
THESE works are by mathematical masters at Rugby School. Their united aim (in connection with Mr. Wilson's two previous parts) is to provide a complete course of geometrical teaching, and so to meet a ...