Generating Conics by Newton's Method

​
angle α
angle β
labels
show conic
move P
This Demonstration shows a construction of conics (parabola, ellipse, and hyperbola) attributed to Newton. Consider point P, constrained to move on a bar, joined to fixed points A and B by two lines and lines through A and B inclined at fixed angles
α
and
β
with these lines. Their intersection point will be on a conic as you move P.

External Links

Conic Section (Wolfram MathWorld)

Permanent Citation

Jaime Rangel-Mondragon
​
​"Generating Conics by Newton's Method"​
​http://demonstrations.wolfram.com/GeneratingConicsByNewtonsMethod/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011