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Hart Circle
In geometry, the Hart circle is derived from three given circles that cross pairwise to form eight circular triangles. For any one of these eight triangles, and its three neighboring triangles, there exists a Hart circle, tangent to the inscribed circles of these four circular triangles. Thus, the three given circles have eight Hart circles associated with them. The Hart circles are named after their discover, Andrew Searle Hart. They can be seen as analogous to the nine-point circle In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are: * The midpoint of each s ... of straight-sided triangles. References {{Reflist External links History of the Nine-Point Circle, Cambridge UniversityDiscussion of Hart Circle in context of Feuerbach's theoremOn Centers and Central Lines of Triangles in the Elliptic PlaneCRC Conci ...
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Hart often refers to: * Hart (deer) * Hart (surname) Hart may also refer to: Organizations * Hart Racing Engines, a former Formula One engine manufacturer * Hart Skis, US ski manufacturer * Hart Stores, a Canadian chain of department stores * Hart's Reptile World, a zoo in Oregon, United States * Harts Stores, a defunct American chain of department stores People * Hart (given name) * Hart (surname) ** Hart family, a family of Canadian professional wrestlers, plus some American and British wrestlers related by marriage *** The Hart Foundation, a number of tag teams or stables, most of them featuring second-generation members of the above family **** The Hart Dynasty, a late-2000s WWE stable that included third-generation members of the family * Hart family murders, a 2018 murder–suicide by Jennifer and Sarah Hart, who murdered their six adopted children Places Austria * Hart, Austria Australia * Hart, Northern Territory, a locality * Hart, South Australia, a locality * Ca ...
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Circular Triangle
In geometry, a circular triangle is a triangle with circular Arc (geometry), arcs instead of Line segment, line segments for edge (geometry), edges. Examples The intersection of three circular disks forms a convex circular triangle. For instance, a Reuleaux triangle is a special case of this construction where the three disks are centered on the vertices of an equilateral triangle, with radius equal to the side length of the triangle. However, not every convex circular triangle is formed as an intersection of disks in this way. A circular horn triangle has all internal angles equal to zero. One way of forming some of these triangles is to place three circles, externally tangent to each other in pairs; then the central triangular region surrounded by these circles is a horn triangle. However, other horn triangles, such as the arbelos (with three collinear vertices and three semicircles as its sides) are interior to one of the three tangent circles that form it, rather than exte ...
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