circle of Apollonius

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• circle of apollonius — ˌapəˈlōnyəs, nēəs Usage: usually capitalized A Etymology: after Apollonius of Perga, 3d century B.C. Greek mathematician : a circle that is the locus of points the ratio of whose distances from two given fixed points is constant …   Useful english dictionary

• Circle — This article is about the shape and mathematical concept. For other uses, see Circle (disambiguation). Circle illustration showing a radius, a diameter, the centre and the circumference …   Wikipedia

• Apollonius of Perga — Apollonius of Perga. Apollonius of Perga [Pergaeus] (Ancient Greek: Ἀπολλώνιος) (ca. 262 BC – ca. 190 BC) was a Greek geometer and astronomer noted for his writings on conic sections. His innovative methodology and terminology, especially in the… …   Wikipedia

• Apollonius of Perga — born с 240 BC, Perga, Anatolia died с 190 BC, Alexandria, Egypt Mathematician known as The Great Geometer. His Conics was one of the greatest scientific treatises of the ancient world. In it he introduced the terms parabola, ellipse, and… …   Universalium

• Circle of latitude — Map of Earth Longitude (λ) Lines of longitude appear vertical with varying curvature in this projection, but are actually halves of great ellipses, with identical radii at a given latitude. Latitude (φ) Lines of latitude appear …   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

• Circles of Apollonius — Apollonian circle redirects here. For a subdivision of this subject, see Apollonian circles. The term circle of Apollonius is used to describe several types of circles associated with Apollonius of Perga, a renowned Greek geometer. Most of these… …   Wikipedia

• Special cases of Apollonius' problem — In Euclidean geometry, Apollonius problem is to construct all the circles that are tangent to three given circles. Limiting cases of Apollonius problem are those in which at least one of the given circles is a point or line, i.e., is a circle of… …   Wikipedia

• List of circle topics — This list of circle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or concretely in physical space. It does not include metaphors like inner circle or circular reasoning in… …   Wikipedia

• Fermat–Apollonius circle — In geometry, the Fermat–Apollonius circle of an ellipse is a circle that circumscribes the minimum bounding box of the ellipse. It has the same center as the ellipse, with radius radic;( a 2 + b 2), where a and b are the semi major axis and semi… …   Wikipedia

• Squaring the circle — Squaring the circle: the areas of this square and this circle are equal. In 1882, it was proven that this figure cannot be constructed in a finite number of steps with an idealized compass and straightedge …   Wikipedia