Difference between revisions of "Power of a point theorem"
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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.  | 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.  | ||
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===Case 1 (Inside the Circle):===  | ===Case 1 (Inside the Circle):===  | ||
Revision as of 12:23, 23 April 2024
Contents
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 
 and 
 intersect at a point 
 within a circle, then 
Case 2 (Outside the Circle):
Case 3 (On the Border/Useless Case):
- Still working