I know that(adsbygoogle = window.adsbygoogle || []).push({});

1) when eccentricity is less than 1 then it is an ellipse

2) locus of points making sum of the distance from two fixed points(foci) with that point a constant, creates ellipse.

Here comes the question, I understand that locus made according to number 2, is ellipsoidal. But how can it give the same equation of an ellipse? Or in reverse way how the sum of the distance of any point on the ellipse from the foci is constant?

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Locus of points making an ellipse

Loading...

Similar Threads - Locus points making | Date |
---|---|

I Putting a point inside a triangle in 3D space | Dec 7, 2017 |

I Two square scale meeting point, when one is moved odd | Sep 30, 2017 |

Minimum distance between a point and a geometric locus | Aug 18, 2012 |

Regions of the complex plane - finding the locus | Apr 28, 2012 |

Complex Number - Locus | Sep 4, 2010 |

**Physics Forums - The Fusion of Science and Community**