Geometric Problems by Homothety

Below is a list of problems either defined in terms of homothety or for which there is a solution exploiting the homothety transformation.

  1. Homothety
  2. Square Inscribed in Triangle
  3. Square Inscribed in Triangle II
  4. Three circles and common tangents
  5. Napoleon's Theorem, A Generalization
  6. Tucker Circles Through Homothety
  7. Monge via Desargues
  8. Remarkable Line in Cyclic Quadrilateral
  9. A Characterization of the Euler Line
  10. Mixtilinear Circles and Concurrence
  11. Two Circles Inscribed in a Parallelogram
  12. Point common to two similar rectangles
  13. Nagel Line
  14. Concyclic Circumcenters: A Sequel
  15. Four Touching Circles
  16. Circle Inscribed in a Circular Segment
  17. Perpendicular Bisectors in an Inscriptible Quadrilateral II
  18. Concyclic Circumcenters: A Dynamic View
  19. Four Centroids and Parallels
  20. Parallel Lines in a Quadrilateral
  21. Concurrency in the Intouch Triangle
  22. Similar Triangles on Sides of a Quadrilateral
  23. Homologous Lines under Three Spiral Similarities
  24. The Menelaus Theorem
  25. Nagel Point of the Medial Triangle
  26. Homothety between In- and Excircles
  27. Two Homotheties in a Parallelogram
  28. Apollonian Circle for Two Lines and a Circle
  29. Seven Equal Circles
  30. Not So Hidden Homotheties
  31. Homothety in Equilateral Triangles
  32. Homothety in Three Tangent Circles
  33. Homothety in Three Tangent Circles II

Many more examples could be obtained by searching this site.

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