Presented by Godfried Lawson

** The
write-up for this assignment is to create a file with links to
various GSP scripts I will produce. This write-up will be a library
of GSP scripts.**

I will use personal library of GSP scripts as tools for doing
constructions. As we have observed students working on
problems in our classes, we have been surprised by the number
of times we have seen someone repeat a complete construction.

Using a script, for example, to construct the circumcircle 4 times
makes more sense than repeating the construction 4 times from
scratch on the same figure.

The simplest way to make a script in GSP 3.0 is to complete
a desired construction, select all (either from the menu

or by drawing a box around it), and then going to make script
under the Work menu. You may want to annotate the
comment section to a) help identify "given" objects
for the script

and b) to indicate whose script it is.

Each script will have a set of given geometric objects.
Open a sketch and select the object in the order

specified in the givens. Then select Play on the script.

Here is a list of scripts that I think would be worth saving
and using in your work with GSP

1. Centroid |
The CENTROID of a triangle is the common intersection of the three medians. |

2. Orthocenter |
The orthocenter of a triangle is the common intersection of the tree lines containing the altitude. |

3. Circumcenter |
The CIRCUMCENTER (C) of a triangle is the point in the plane equidistant from the three vertices of the triangle. |

4. Altitudes and orthocenters |
This script is designed to find the relations between altitudes and the orthocenters. |

5. Incenter |
The INCENTER (I) of a triangle is the point on the interior
of the triangle that is equidistant from the three sides. |

6. Pentagon |
Given center and vertex, construct a regular pentagon. |

7. Medial Triangle |
Triangle formed by connecting the midpoints of the original triangle. |

8. Tangent Circles |
The set of circles tangent to two given circles |

9. Pedal triangle |
Pedal Triangle is a triangle formed by constructing perpendiculars
to the sides of the original triangle ABC |

10. The medial triangle of a right triangle |
The medial triangle formed from a right triangle is a right triangle. |

11 Midpoint Triangle |
Construct a triangle A,B,C and its orthocenter H. Connect
the orthocenter to the vertices with the line segment HA, HB,
and HC. Construct the midpoints of HA, HB and HC. Connect the midpoints to form a new triangle (DEF) . The inside triangle is called the midpoint triangle |

12. Animation script of medial
triangle |
This is the animation of the medial triangle and the triangle
formed from the midpoints of HA, HB, and HC. |

13. Regular hexagon |
Given points A and B, construct a regular hexagon with side lengths AB. |

14. Triangle Centers (H, G,
C, and I) |
This is the script of the centoid (G) , the circumcerter (C), the Incenter (I), and the orthocenter (H) |

15. Orthic triangle |
Take any acute triangle. Construct a triangle connecting
the feet of the altitudes. This is called the ORTHIC triangle. |

16. Regular 10-gon |
Given center and vertex, construct a regular 10-gon. |

17. Sublime Triangle |
Given points A,B, construct a Sublime triangle. |

18. Tangents to two circles |
Given rim, center and rim, center of two circles, construct all tangents to both circles. |

19. Cube |
Given three points, construct a 2D representation of a cube |

20. Golden ratio |
Divide segment AB at a point G such that AB/AG = AG/GB. i.e. Divide a segment at the Golden Ratio. |