I’ve added a new Euclidean geometry handout, Constructing Diagrams, to my webpage.
Some of the stuff covered in this handout:
- Advice for constructing the triangle centers (hint: circumcenter goes first)
- An example of how to rearrange the conditions of a problem and draw a diagram out-of-order
- Some mechanical suggestions such as dealing with phantom points
- Some examples of computer-generated figures
Enjoy.
Power Overwhelming 
Nice handout! The only suggestion I want to make is to remove point X in the geogebra diagram of that HMMT problems. It’s not in the problem’s statement and moreover it spoils the key point.
LikeLike
I just want to add the following.
For those of us with worse rulers or who just suck at constructing perpendiculars, there’s an easier way to construct the orthocenter. Draw the A altitude and let it intersect BC at D and (ABC) at P. Then draw the circle with center D through P, and its other intersection with AD will be H (the orthocenter). This works because the reflection of H about BC lies on the circumcircle.
LikeLike
How do you import from geogebra to asymptote? And can you create a new handout with the list of all asymptote commands which are useful for graphing olympiad geometry problems
LikeLike
GeoGebra export seems to require using GeoGebra Classic 5 iirc. You can watch an
example in https://youtu.be/Alz2OWHH7QY?si=ERpn8N2to5t01W9A&t=4100.
The manual of commands you want is
Click to access geometry_en.pdf
https://web.evanchen.cc/asyguide.html may be helpful to you.
LikeLike