Inversion of a Circle (5 cases) Geometric Inversion
Learn to invert any given circle in a plane inversion. We solve 5 different examples. A circle not passing through O inverts to a circle not passing through O. If the circle meets the reference circle, these invariant points of intersection are also on the inverse circle. A circle that passes through the center O of the reference circle inverts to a line not passing through O, but parallel to the tangent to the original circle at O.
Index:
0:00 Presentation
1:52 Case 1 - Circle ouside
8:11 Case 2 - Circle inside & not passing through O
12:02 Case 3 - Intersecting circle & not passing through O
15:20 Case 4 - Circle inside & passing through O
17:10 Case 5 - Intersecting circle & passing through O
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Dubbed by Frank Shaw.
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