An arbitrary point B on the unit circle is reflected in the y-axis to give B’. D is the intersection of BC and AB’. Prove it lies on the red hyperbola.
Puzzle creator: Matthew Arcus.
Scroll down for a solution to this problem.
An arbitrary point B on the unit circle is reflected in the y-axis to give B’. D is the intersection of BC and AB’. Prove it lies on the red hyperbola.
Puzzle creator: Matthew Arcus.
Scroll down for a solution to this problem.
2 replies on “A hyperbolic style”
Here’s a neat way to derive the equation of the hyperbola:
This is with C as centre and the x-axis going out to the left.