OK, having taught this stuff and having even done a fair amount of work studying "hyperbolic geometry" I thought I had to comment on the answers already given. - First, what is a "hyperbolic" curve. I know what a hyperbola is (its a conic section), but I'm not entirely sure what is meant by a hyperbolic curve. - A cantenary is (as someone pointed out) the curve formed by a hanging rope. the equation of such a curve is a fairly easy derivation. It should be easy to either just do the derivation or find it in either a calculus or differential equations book. - The method for drawing an ellipse was correct. An ellipse can be shown to have this property: "Ellipse is the set of points whose sum of the distance to the foci is a fixed constant." A hyperbola can be shown to have the similar property but you look at the difference of distances. Well, I've got to run, but that is the summary. I don't know a quick way to draw a hyperbola, if thats what you want. Blake
> Hello Vanagon Troops!! > > I need your help. > > I need to draw a hyperbolic curve as a line drawing that will look like > a bowl. It has specific dimensions of 22" wide by 8 " deep. The curve > must be true for the dimensions. There is a way to do this with string, > pins, pencil, straight edge and triangle, but I don't know how. Can > anyone tell me how do do this??? > > Would appreciate it. > > Please reply off list. > > My thanks, > > John Rodgers > 88 GL Driver > |
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