Difference between revisions of "Power of a point theorem"

Latest revision as of 22:56, 22 March 2025

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-==Theorem:==
+#REDIRECT [[Power of a Point 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 <math> AB </math> and <math> CD </math> intersect at a point <math> P </math> within a circle, then <math> AP\cdot BP=CP\cdot DP </math>
-===Case 2 (Outside the Circle):===
-[b]Classic Configuration[/b]
-Tangent Line
-====Normal Configuration====
-====Tangent Line====
-===Case 3 (On the Border/Useless Case):===
-**Still working