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Topic: Concurrency-Three parabolas sharing common directrix.
Replies: 2   Last Post: Feb 6, 2014 7:41 AM

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Emmanuel José García

Posts: 2
From: Dominican Republic
Registered: 1/22/14
Concurrency-Three parabolas sharing common directrix.
Posted: Jan 22, 2014 9:20 PM
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If three parabolas share a common directrix and each pair intersect each other in two points, then, the lines joining the two intersection points of each pair of parabolas are concurrent.

The proof is kind of simple so my question is:

Has anyone seen this before? Any reference?

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