Difference between revisions of "Power of a point theorem"
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===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 AP\cdot BP=CP\cdot DP | + | 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} |
===Case 2 (Outside the Circle):=== | ===Case 2 (Outside the Circle):=== | ||
Revision as of 11:54, 23 April 2024
Contents
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 \begin{align} AP\cdot BP=CP\cdot DP \end{align}
Case 2 (Outside the Circle):
Case 3 (On the Border/Useless Case):
- Still working
