Difference between revisions of "Power of a point theorem"

(Statement:)
Line 2: Line 2:
  
 
===Case 1 (Inside the Circle):===
 
===Case 1 (Inside the Circle):===
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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 AP\cdot BP=CP\cdot DP
  
 
===Case 2 (Outside the Circle):===
 
===Case 2 (Outside the Circle):===
  
 
===Case 3 (On the Border/Useless Case):===
 
===Case 3 (On the Border/Useless Case):===

Revision as of 11:48, 23 April 2024

Statement:

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):