Difference between revisions of "Power of a point theorem"

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==Statement:==
 
==Statement:==
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There are three unique cases for this theorem.
  
 
===Case 1 (Inside the Circle):===
 
===Case 1 (Inside the Circle):===
  
If two chords [i]AB[/i] and [i]CD[/i] intersect at a point [i]P[/i] within a circle, then \begin{align} AP\cdot BP=CP\cdot DP \end{align}
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If two chords [i]AB[/i] and [i]CD[/i] intersect at a point [i]P[/i] within a circle, then <math> AP\cdot BP=CP\cdot DP </math>
  
 
===Case 2 (Outside the Circle):===
 
===Case 2 (Outside the Circle):===

Revision as of 11:59, 23 April 2024

Statement:

There are three unique cases for this theorem.

Case 1 (Inside the Circle):

If two chords [i]AB[/i] and [i]CD[/i] intersect at a point [i]P[/i] within a circle, then $AP\cdot BP=CP\cdot DP$

Case 2 (Outside the Circle):

Case 3 (On the Border/Useless Case):

    • Still working