From ab8cc85adde879fb963c94d15675783f2cf4b183 Mon Sep 17 00:00:00 2001
From: dos-reis <gdr@axiomatics.org>
Date: Tue, 14 Aug 2007 05:14:52 +0000
Subject: Initial population.

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+% Copyright The Numerical Algorithms Group Limited 1991.
+% Certain derivative-work portions Copyright (C) 1988 by Leslie Lamport.
+% All rights reserved
+
+% Title: 3-D Graphics
+ 
+% Address comments and questions to the
+%   Computer Algebra Group, Mathematical Sciences Department
+%   IBM Thomas J. Watson Research Center, Box 218
+%   Yorktown Heights, New York  10598  USA
+ 
+%  Author: Clifton J. Williamson
+%  Date created: Memorial Day 1990
+%  Date last updated: same
+ 
+\begin{page}{ExPlot3DFunctions}{Plotting Functions of Two Variables}
+\beginscroll
+To plot a function {\em z = f(x,y)}, you need only specify the function and the
+intervals over which the dependent variables will range.
+For example, here's how you plot the function {\em z = cos(x*y)} as the 
+variables {\em x} and {\em y} both range between -3 and 3:
+\graphpaste{draw(cos(x*y),x = -3..3,y = -3..3)}
+\endscroll
+\autobuttons\end{page}
+ 
+\begin{page}{ExPlot3DParametricSurface}{Plotting Parametric Surfaces}
+\beginscroll
+To plot a parametric surface defined by {\em x = f(u,v)}, 
+{\em y = g(u,v)}, {\em z = h(u,v)}, specify the functions
+{\em f(u,v)}, {\em g(u,v)}, and {\em h(u,v)}
+as arguments of the function `surface', then give
+the intervals over which {\em u} and {\em v} are to range.
+With parametric surfaces, we can create some interesting graphs.
+Here's an egg:
+\graphpaste{draw(surface(5*sin(u)*cos(v),4*sin(u)*sin(v),3*cos(u)),u=0..\%pi,v=0..2*\%pi)}
+Here's a cone:
+\graphpaste{draw(surface(u*cos(v),u*sin(v),u),u=0..4,v=0..2*\%pi)}
+\endscroll
+\autobuttons\end{page}
+ 
+\begin{page}{ExPlot3DParametricCurve}{Plotting Parametric Curves}
+\beginscroll
+To plot a parametric curve defined by {\em x = f(t)}, 
+{\em y = g(t)}, {\em z = h(t)}, specify the functions
+{\em f(t)}, {\em g(t)}, and {\em h(t)}
+as arguments of the function `curve', then give
+the interval over which {\em t} is to range.
+Here is a spiral:
+\graphpaste{draw(curve(cos(t),sin(t),t),t=0..6)}
+Here is the {\em twisted cubic curve}:
+\graphpaste{draw(curve(t,t**2,t**3),t=-3..3)}
+\endscroll
+\autobuttons\end{page}
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