UnivHypGeom26: Trigonometric laws in hyperbolic geometry using Geometer's Sketchpad

Loading...

Sign in or sign up now!
Alert icon
Upgrade to the latest Flash Player for improved playback performance. Upgrade now or more info.
3,265
Loading...
Alert icon
Sign in or sign up now!
Alert icon

Uploaded by on Oct 12, 2011

We use Geometer's Sketchpad to illustrate the four main laws of trigonometry in Universal Hyperbolic Geometry. These are Pythagoras' theorem, the Triple quad formula, the Spread law and the Cross law. We use custom tools to calculate quadrance and spread. We illustrate each law with a variety of examples. Along the way we show dual triangles, and explain some other features of GSP.

  • likes, 0 dislikes

Link to this comment:

Share to:
see all

All Comments (2)

Sign In or Sign Up now to post a comment!
  • @capibaby1 Yes that is possibly a good idea. I will explain the relationship later at some point, when I summarize classical hyperbolic geometry and how it fits into the Universal approach. For a beginner though, I want to emphasize that this treatment here is completely independent of, any much simpler than, the classical one.

  • For people who have been taught this subject in the classical hyperbolic geometry sense, it might be important to spend more time explaining how to see how to extend their metrical notions outside the circle, and why the algebraic forms of the metric are more fundamental than the transcendental ones in terms of log, sinh, sin etc. I'm personally curious about the relationship between the two, also.

Loading...

Alert icon
0 / 00Unsaved Playlist Return to active list
    1. Your queue is empty. Add videos to your queue using this button:
      or sign in to load a different list.
    Loading...Loading...Saving...
    • Clear all videos from this list
    • Learn more