All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Construct Ellipse Axes (Posted on 2004-12-21) Difficulty: 4 of 5
Given an arbitrary ellipse (not a circle) without a marked center or foci. Using a straightedge and compass construct the major and minor axes.

See The Solution Submitted by Bractals    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Solution (Nice) Comment 4 of 4 |
(In reply to re: Solution (Nice) by Jer)

I remember it being an identity from geometry, albeit an advanced one. It holds for circles, and transforming a circle into an ellipse does not affect the midpoints of the segments, so the center can be found the same way.

I have seen an algebraic proof of this, for a hyperbola, a parabola, and an ellipse. I can't recall it, though I do know it's true. You might be able to prove it by trial and error given an ellipse with a known center.


  Posted by Eric on 2004-12-21 19:59:41
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2025 by Animus Pactum Consulting. All rights reserved. Privacy Information