Difference between revisions of "Power of a point theorem"

(Statement:)
(Tag: New redirect)
 
(111 intermediate revisions by 2 users not shown)
Line 1: Line 1:
==Theorem:==
+
#REDIRECT [[Power of a Point Theorem]]
 
 
There are three unique cases for this theorem. Each case expresses the relationship between the length of line segments that pass through a common point and touch a circle in at least one point.
 
 
 
===Case 1 (Inside the Circle):===
 
 
 
If two chords <math> AB </math> and <math> CD </math> intersect at a point <math> P </math> within a circle, then <math> AP\cdot BP=CP\cdot DP </math>
 
 
 
===Case 2 (Outside the Circle):===
 
 
 
===Case 3 (On the Border/Useless Case):===
 
 
 
**Still working
 

Latest revision as of 22:56, 22 March 2025