Euler's Theorem
Play around with the sketch below, checking the check boxes one at a time (so you can see the individual parts and how they move).
Next, show all four centers. What do you notice? Add whatever elements to the sketch to convince yourself of things. Measure things, too.
Next, show the two circle. What do you notice? Again, add whatever elements to the sketch to convince yourself of things. Measure things, too.
Steve Phelps, Created with GeoGebra |