- homothetic
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—homothety /heuh moth"i tee, hoh-/, n./hoh'meuh thet"ik, hom'euh-/, adj. Geom.similar; similarly placed.[1875-80; HOMO- + THETIC]
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Universalium. 2010.
homothetic
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Homothetic center — In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation/contraction of one another. If the center is external , the … Wikipedia
Homothetic transformation — In mathematics, a homothety (or homothecy or dilation) is a transformation of space which takes each line into a parallel line (in essence, a similarity that is similarly arranged). All dilatations form a group in either affine or Euclidean… … Wikipedia
homothetic — adjective a) of a function of two or more variables in which the ratio of the partial derivatives depends only on the ratio of the variables, not their value b) in which the ratio of goods demanded depends only on the ratio of their prices See… … Wiktionary
homothetic — homo·thet·ic … English syllables
homothetic — /hoʊməˈθɛtɪk/ (say hohmuh thetik) adjective similarly placed; similar. {homo + Greek thetikos placed} …
homothetic — | ̷ ̷ ̷ ̷|thed.ik adjective Etymology: International Scientific Vocabulary hom + Greek thetikos fit for placing; originally formed as French homothétique more at thetic : similar and similarly oriented used of geometric figures * * * homothety… … Useful english dictionary
homothetic transformation — Math. See similarity transformation (def. 1). * * * … Universalium
homothetic transformation — Math. See similarity transformation (def. 1) … Useful english dictionary
Tangent lines to circles — In Euclidean plane geometry, tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at a point P is perpendicular to the radius to … Wikipedia
Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… … Wikipedia
