This is the write-up of Assignment #5 Brian R. Lawler EMAT 6680 10/21/00

## Creating and Using GSP Scripts

Write-up #5. The write-up for this assignment is to create a file on your home page with links to various GSP scripts you have produced. I anticipate that some of the following list will be included, but that you will also add items to the list as the quarter progresses.  The write-up will be a library of  GSP scripts.

#### My GSP Scripts

 1. Centroid. The CENTROID (G) of a triangle is the common intersection of the three medians. Given 3 points, construct centroid (G). 9/25/00 2. Orthocenter. The ORTHOCENTER (H) of a triangle is the common intersection of the three lines containing the altitudes. Given 3 points, construct orthocenter (H). 9/25/00 3. Circumcenter. The CIRCUMCENTER (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle. Given 3 points, construct circumcenter (C). 9/25/00 4. Circumcircle. Given 3 points, construct the circumcircle of a triangle. 10/2/00 5. Incenter. The INCENTER (I) of a triangle is the point on the interior of the triangle that is equidistant from the three sides. Given 3 points, construct the incenter of a triangle (I). 9/25/00 6. Incircle. Given 3 points, construct the incircle of a triangle. 10/2/00 7. Medial triangle. The MEDIAL TRIANGLE is the triangle connecting the three midpoints of the sides. Given 3 points, construct a triangle and it's medial triangle. 10/2/00 7a. Orthocenter, Mid-segment triangle. Given 3 points, construct the orthocenter. Next, construct the segments connecting each vertex to this orthocenter. Create the triangle formed by the midpoints of these segments. Name this triangle a Mid-segment triangle. 12/12/00 8. Orthic triangle. The ORTHIC triangle is a triangle connecting the feet of the altitudes of a triangle. Given 3 points, construct a triangle and its orthic triangle.. 10/2/00 9. Pedal triangle. Let triangle ABC be any triangle. Then if P is any point in the plane, then the triangle formed by constructing perpendiculars to the sides of ABC (extended if necessary) locate three points R, S, and T that are the intersections. Triangle RST is the Pedal Triangle for Pedal Point P. Given 3 points to define a triangle, and a 4th point to be any point on the plane, construct the pedal triangle. 12/14/00 10. Center of Nine point circle. Given 3 points, build a triangle and label the center of the Nine-Point circle (N). 10/2/00 11. Nine Point Circle. Given 3 points, build a triangle with it's Nine-Point circle. 10/2/00 12. Trisecting a line segment. Given two points, construct and trisect a segment. 10/2/00 13. Equilateral triangle, given a side. Given points AB, construct an equilateral triangle with side lengths AB. 10/23/00 14. Square, given a side. Given points AB, construct a square with side lengths AB. 10/23/00 15. Isosceles triangle, given base and altitude. Construct an isosceles triangle, given base and altitude. The script uses points A, B as the endpoints of the base, and points C, D as the endpoints of a segment defining the length of the altitude. 10/23/00 16. Triangle Centers (H, G, C, and I). Given 3 points, construct G, H, C, and I. 9/25/00 17. Triangle Centers with Euler Line. Given 3 points, construct the Euler line. 9/25/00 18. Locus of vertex of a fixed angle that subtends a fixed segment. ~~UNSOLVED~~ 19. Divide a segment AB into two parts that form a golden ratio. Given 2 points, divide a segment at the Golden Ratio. 10/9/00 20. Pentagon, given a radius. Given 2 points: center and vertex, construct a regular pentagon. 10/9/00 21. Pentagon, given a side. Given points AB, construct a regular pentagon with side lengths AB. 10/23/00 22. Hexagon, given a side. Given points AB, construct a regular hexagon with side lengths AB. 10/23/00 23. Octagon, given a side. Given points AB, construct a regular octagon with side lengths AB. 10/23/00 24. Tangent lines to two circles. Given rim, center and rim, center of two circles, construct all tangents to both circles 10/16/00 25. Decagon, given a radius. Given center and vertex, construct a regular 10-gon. 10/9/00 26. Sublime triangle. Given 2 points, construct a Sublime triangle. 10/9/00 27. 2D cube Given three points, construct a 2D representation of a cube. 10/23/00 28. Circle tangent to two circles Given two circles (actually, define 4 points as point-center, point-center of two circles), this script will construct a circle tangent to the other two. 12/13/00 29. Circle (2nd) tangent to two circles Given two circles (actually, define 4 points as point-center, point-center of two circles), this script will construct a different circle tangent to the other two. 12/13/00 30. Two Circles tangent to two circles Given two circles (actually, define 4 points as point-center, point-center of two circles), this script will construct two distinct circles tangent to the other two. 12/13/00 31. Two Circles tangent to two circles Put 2 points to determine a line and then a point-center to determine a circle. This script will construct two circles tangent to the line and the circle. 12/13/00

 Comments? Questions? e-mail me at blawler@coe.uga.edu

 Last revised: December 28, 2000

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