bitangent line

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• Bitangent — (black) has 28 real bitangents (red).This image shows 7 of them; the others are symmetric with respect to 90° rotations through the origin.] In mathematics, a bitangent to a curve C is a line L that touches C in two distinct points P and Q and… …   Wikipedia

• Bitangent — Bi*tan gent, a. [Pref. bi + tangent.] (Geom.) Possessing the property of touching at two points. n. A line that touches a curve in two points. [1913 Webster] …   The Collaborative International Dictionary of English

• bitangent — noun A line that is tangent to a curve at two points See Also: bitangential …   Wiktionary

• Pseudotriangle — In Euclidean plane geometry, a pseudotriangle is the simply connected subset of the plane that lies between any three mutually tangent convex sets. A pseudotriangulation is a partition of a region of the plane into pseudotriangles, and a pointed… …   Wikipedia

• bi|tan|gent — «by TAN juhnt», adjective, noun. Geometry. –adj. touching a curved line or surface at two different points: »a bitangent line or plane. –n. a straight line which is tangent to a curve at two different points; a double tangent …   Useful english dictionary

• Belt problem — The belt problem is the problem of finding the length of a crossed belt that connects two circular pulleys with radius r 1 and r 2 whose centres are separated by a distance P (see diagram below). The solution of the belt problem requires… …   Wikipedia

• Malfatti circles — In geometry, the Malfatti circles are three circles inside a given triangle such that each circle is tangent to the other two and to two sides of the triangle. They are named after Gian Francesco Malfatti, who made early studies of the problem of …   Wikipedia

• 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

• Trott curve — In real algebraic geometry, the Trott curve is the set of points ( x , y ) satisfying the degree four polynomial equation:displaystyle 144(x^4+y^4) 225(x^2+y^2)+350x^2y^2+81=0.These points form a nonsingular quartic plane curve that has genus… …   Wikipedia

• K-set (geometry) — In discrete geometry, a k set of a finite point set S in the Euclidean plane is a subset of k elements of S that can be strictly separated from the remaining points by a line. More generally, in Euclidean space of higher dimensions, a k set of a… …   Wikipedia

• Plane curve — In mathematics, a plane curve is a curve in a Euclidean plane (cf. space curve). The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. A smooth plane curve is a curve in a …   Wikipedia