Apollonius Revisited Equidistance

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Appendix: Constructing an <strong>Apollonius</strong> Circle-Lets say we wish to find the set of all points that are respectively in the AM:MB ratiofrom the points A and B.-Consruct perpendiculars from A and B.-Construct circles of radius AM and MB respectively from A and B.
-Construct E and F, the intersections of the perpendiculars with the circles and then theline EF intersecting the line AB at D.!!-Find the midpoint of theM.DM and construct a circle with this point as the center through!
Page 1 and 2: Apollonius Revisited:EquidistanceA
Page 3 and 4: Introduction and Motivation:Apollon
Page 5 and 6: Distance between: A circle C and a
Page 7 and 8: (B) EQUIDISTANCEDefinition: A point
Page 9 and 10: Research: Construct and investigate
Page 11 and 12: Equilocus of:(a)Two intersecting li
Page 13 and 14: Equilocus of: A circle C and a poin
Page 15 and 16: Equilocus of: Two external circles
Page 17 and 18: Equilocus of: Two circles D inside
Page 19 and 20: (D) Apollonius Tangency Problems: E
Page 21 and 22: LLLTask: Construct a circle tangent
Page 23 and 24: LLCTask: Construct a circle tangent
Page 25 and 26: CCLTask: Construct a circle tangent
Page 27 and 28: Challenge: Study special cases not
Page 29 and 30: (c) a point and a hyperbolaAdvanced
Page 31 and 32: - Construct the perpendicular bisec
Page 33 and 34: -Hide all but the Focus, the direct
Page 35 and 36: -Construct a segment between M and
Page 37 and 38: - This tool will be handy if, say,
Page 39 and 40: Note: The difference between the di
Page 41 and 42: -Create a movable free point M on t
Page 43: -Hide all but the loci and two poin

Apollonius Revisited Equidistance

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