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Free Topo Maps - MyTopo/Maptech MapServer - 1 views
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It's centered on Somerville, MA, but you can enter latitude and longitude or a ZIP code to focus on any point in the US. The curved lines represent points with the same elevation. Lines close together mean a steep slope (either upward or downward depending on the actual elevations). Concentric curves mean a peak or valley. What indicates a saddle point?
Wolfram Demonstrations Project: Curvature and Torsion - 0 views
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Curvature and Torsion Choose among several curves and see the rotation of the Frenet-Serret frame as you move the slider. From this you can perceive the curvature and torsion of the curve. Associated objects (such as the circle of curvature, evolute, and osculating sphere, as well as two views of the Frenet frames) may be displayed.
Wolfram Demonstrations Project: 3D Graph of a General Quadratic Form - 0 views
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The graph of the equation ax^2 + by^2 + cz^2 + dxy + exz + fyz +gx + hj + i z + j=0 is shown for your settings of the parameters.
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Set d=e=f=0 to keep things centered at the origin. To get the paraboloids you want one of (g,h,i) to be nonzero. To get the hyperboloids set g=h=i=0 and let a, b, c be mixed signs. To get the ellipsoids make sure a, b, and c are all negative. See if you can find a setting where a single parameter changes the surface from a hyperboloid of two sheets, to a cone, to a hyperboloid of one sheet.
Wolfram Demonstrations Project: Plane Sections of Surfaces - 1 views
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