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]]>For Slide Number 5, let me see if I can understand your correction. What I show in that slide is that K3 either touches K1 or K2 (as you mention). So, I created two circles labeled 3a and 3b to illustrate three cases (left somewhat open for students to explore). In one case, 3a is larger, then we call it K3 (and thus K3 touches K1). In a second case, 3b is larger, then we call it K3 (and thus K3 touches K2). In a third case, the circles 3a and 3b are the same size, and we can arbitrarily choose one of them to be the third circle.

Does that respond to your comment? If not, please include additional detail so that I may correct my mistake. Thank you!

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