Difference between revisions of "Power of a point theorem"
 (→Case 2 (Outside the Circle):)  | 
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===Case 2 (Outside the Circle):===  | ===Case 2 (Outside the Circle):===  | ||
| − | [b]  | + | [b]Classic Configuration[b/]  | 
| − | [b]Tangent Line[/  | + | [b]Tangent Line[b/]  | 
====Normal Configuration====  | ====Normal Configuration====  | ||
Revision as of 12:53, 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):
[b]Classic Configuration[b/]
[b]Tangent Line[b/]
Normal Configuration
Tangent Line
Case 3 (On the Border/Useless Case):
- Still working