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 ...

The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

WITH reference to the remarks of “R. B. H.” (NATURE, June 28, p. 197) on my interpretation of the differential equation to all conics, I wish to point out that the objections he seems to take do not ...