Inversive Geometry V: Circle through Three Points

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows how to use a sequence of three inversions to construct a circle passing through three different given points A, B, and C. Let us call its center Q. Let the fixed circle of inversion have center at A and pass through B (orange) and let C' be the inverse of C. Reflect A in the line BC' to get the point A'. Then Q is the result of inverting A'. You can drag the points B or C. Note that this construction still applies if the given points are collinear.

Contributed by: Jaime Rangel-Mondragon (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send