Tag: Hyperbolic

Hyperbolic Functions Part 2a

Last time we had integrations of Hyperbolic functions. Today we are solving more involving inverse functions. 1: Integral from 0 to pi/2 of sin x dx/(1 + cos² x)^(1/2) Let w = sinh^(-1) y = ln( y + (y² + 1)^(1/2) ) dw/dy = 1 / ( 1 + y² )^(1/2) Let y = — cos x C...

Non-Euclidean Dressmaking and Flounce Forms in Nature's Frilly Hyperbolic Geometry

I adore a flounce. It's one of my favorite ornaments on my clothes. I have tiny boobies and a little po, my curves, although feminine, are subtle and understated, so i dress to enhance them. And flounces, both in a textile art sense, and in a precise mathematical sense, are all about curvature. ...