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 — homothety /heuh moth i tee, hoh /, n. /hoh meuh thet ik, hom euh /, adj. Geom. similar; similarly placed. [1875 80; HOMO + THETIC] * * * … Universalium
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
