Homothetic

Two figures are homothetic if they are related by a Dilation (a dilation is also known as a Homothecy). Thismeans that they lie in the same plane and corresponding sides are Parallel; such figures have connectors ofcorresponding points which are Concurrent at a point known as the Homothetic Center. The HomotheticCenter divides each connector in the same ratio , known as the Similitude Ratio. For figures which are similarbut do not have Parallel sides, a Similitude Center exists.

References

Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, 1929.

• Pólya Distribution
• Pólya Enumeration Theorem
• Pólya Polynomial
• Pólya's Random Walk Constants
• Pólya-Vinogradov Inequality
• Pósa's Theorem
• Q
• q-Analog
• q-Beta Function
• q-Binomial Coefficient
• q-Binomial Theorem
• q-Cosine
• q-Derivative
• q-Dimension
• Q.E.D
• q-Extension
• q-Factorial
• Q-Function
• q-Gamma Function
• q-Generalization
• q-Hypergeometric Series
• Q-Matrix
• Q-Number
• q-Pi
• Q-Polynomial