These inputs were designed for the Pascal option on the form. They will also work with the Brianchon option; however, in that case the diagrams will probably be better if you put the vertices in increasing or decreasing order.

**Suggestions for Angles of Vertices**

30 -90 120 -45 90 -135 (non-convex hexagon) 0 50 100 135 200 -90 (convex hexagon) -160 135 0 60 -120 -50 (hexagon from movie) 120 -30 180 45 -90 -90 (pentagon) 0 0 150 150 80 -100 (quadrilateral 1) 20 20 210 150 150 -60 (quadrilateral 2) 105 105 30 30 -135 -135 (triangle)

45 180 -90 0 120 -135 (one inters at inf) xx xx xx xx xx xx (two inters at inf) 0 60 120 180 240 300 (all inters at inf) 30 -30 120 -150 150 60 (all inters at inf)

If you use the ellipse option with a final input greater than 1, your second picture will be an ellipse. It probably won't be much more interes- ting than the circle; however, it may be easier to see lines and points in the ellipse. You can also try these options:

135 180 -90 45 0 0 ellipse 90 1.414 (one inters at inf) 135 180 -90 45 0 0 ellipse 90 2.414 (two inters at inf) 180 135 90 45 0 -90 ellipse 90 2.414 (Pascal line at inf) 180 135 90 45 0 -90 ellipse 0 3.414 (one pt from Pascal line at inf)There is no specific parabola option, but you can get parabolas as a limiting case of either the ellipse option or the hyperbola option. For instance, either "ellipse 135 1" or "hyperbola 135 135" will give you the parabola in which the 135- degree point has been taken to infinity. Try any of the above suggestions using "hyperbola x 1" at the bottom of the form, where x is a random angle, the angle of a vertex, or the angle of a repeated vertex. Almost anything you do with the hyperbola option will produce interesting results. Try this option, using for your angles:

two random angles a random angle and the angle of a vertex a random angle and the angle of a repeated vertex the angles of two consecutive vertices* the angles of two almost-consecutive vertices* the angles of two opposite vertices* (*=try this when neither, either, or both of the vertices are repeated vertices)As in the elliptical case, it's also interesting to make some intersections on the line at infinity:

60 -60 150 30 -120 180 hyperbola 0 90 (one inters at inf) 60 -60 -120 30 150 180 hyperbola 0 90 (one inters at inf) 60 -60 120 120 180 0 hyperbola -90 90 (two inters at inf) 60 -60 -120 30 150 180 hyperbola 45 -135 (Pascal line at inf)

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Created: Nov 30 1995 ---
Last modified: Sun Jun 2 14:09:58 1996