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. Many more examples could be obtained by searching this site.
32. Homothety in Equilateral Triangles

|Contact| |Front page| |Contents| |Geometry| |Store|