09.08.2015 Views

Apollonius Revisited Equidistance

Apollonius Revisited: Equidistance - Concord Academy

Apollonius Revisited: Equidistance - Concord Academy

SHOW MORE
SHOW LESS
  • No tags were found...

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Research: Construct and investigate(a) the set of all points whose ratio of distances from two fixed points is a constant. (see<strong>Apollonius</strong> Circle at the Appendix)(b) the set of all points whose product of distances from two fixed points is a constant.(c) the set of all points whose sum/difference/product/ratio of distances from N fixedpoints is a constant (N=3,4,…) (see my former student Bilge Demirkoz's Trisoid as astarter)

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!