COPYRIGHT NOTICE
Copyright 2007 Samuel Dagan
dagan@post.tau.ac.il
/general/copyright.xhtml
Volume
Animated projection of a function with a saddle point
The origin of the figure is at (0,0)
©
Samuel Dagan
Volume under a surface
x
y
z
−z
+z
The surface z = xy/2 + 5 is
plotted in the square region
of
−2 ≤ x ≤ 2
and −2 ≤ y ≤2 .
The grid of the x,y plane
has a
spacing of 0.5 units.
The symbols of the axes
are encircled, if they point
toward the observer.
Four lines connect the corner
points of the region, from the
(x,y) plane
up to the surface,
showing the borders of the
volume under the surface.
Press a button on the bottom,
to rotate the whole about the z
axis. The "fast" and "slow"
buttons control the angular
velocity.
The contribution of xy/2 to the
volume vanishes by
symmetry.
The remaining z = 5 forms a
rectangular box with a height
of
5 units and a base of 16
units²,
yielding a volume of 80
units³.
restart
Use the zoom of your system
to resize this window
Use the mouse to pan and
to resize the graphics
ani-
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