# 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.

- Homothety
- Square Inscribed in Triangle
- Square Inscribed in Triangle II
- Three circles and common tangents
- Napoleon's Theorem, A Generalization
- Tucker Circles Through Homothety
- Monge via Desargues
- Remarkable Line in Cyclic Quadrilateral
- A Characterization of the Euler Line
- Mixtilinear Circles and Concurrence
- Two Circles Inscribed in a Parallelogram
- Point common to two similar rectangles
- Nagel Line
- Concyclic Circumcenters: A Sequel
- Four Touching Circles
- Circle Inscribed in a Circular Segment
- Perpendicular Bisectors in an Inscriptible Quadrilateral II
- Concyclic Circumcenters: A Dynamic View
- Four Centroids and Parallels
- Parallel Lines in a Quadrilateral
- Concurrency in the Intouch Triangle
- Similar Triangles on Sides of a Quadrilateral
- Homologous Lines under Three Spiral Similarities
- The Menelaus Theorem
- Nagel Point of the Medial Triangle
- Homothety between In- and Excircles
- Two Homotheties in a Parallelogram
- Apollonian Circle for Two Lines and a Circle
- Seven Equal Circles
- Not So Hidden Homotheties
- Homothety in Equilateral Triangles
- Homothety in Three Tangent Circles
- Homothety in Three Tangent Circles II

Many more examples could be obtained by searching this site.

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