inscribed circle of a triangle

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• Triangle — This article is about the basic geometric shape. For other uses, see Triangle (disambiguation). Isosceles and Acute Triangle redirect here. For the trapezoid, see Isosceles trapezoid. For The Welcome to Paradox episode, see List of Welcome to… …   Wikipedia

• Inscribed figure — In geometry, an inscribed planar shape or solid is one that is enclosed by and fits snugly inside another geometric shape or solid. Specifically, there must be no object similar to the inscribed object but larger and also enclosed by the outer… …   Wikipedia

• Incircle and excircles of a triangle — A triangle (black) with incircle (blue), incentre (I), excircles (orange), excentres (JA,JB,JC), internal angle bisectors (red) and external angle bisectors (green) In geometry, the incircle or inscribed circle of a triangle is the largest circle …   Wikipedia

• 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

• Inscribed angle — In geometry, an inscribed angle is formed when two secant lines of a circle (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle.Typically, it is easiest to think of an inscribed angle as… …   Wikipedia

• Inscribed angle theorem — In geometry, the inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its apex is moved to different positions on… …   Wikipedia

• Inscribed — Inscribe In*scribe , v. t. [imp. & p. p. {Inscribed}; p. pr. & vb. n. {Inscribing}.] [L. inscribere. See 1st {In }, and {Scribe}.] 1. To write or engrave; to mark down as something to be read; to imprint. [1913 Webster] Inscribe a verse on this… …   The Collaborative International Dictionary of English

• Circumscribed circle — Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the… …   Wikipedia

• Altitude (triangle) — Orthocenter and Orthocentre redirect here. For the orthocentric system, see Orthocentric system. Three altitudes intersecting at the orthocenter In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e …   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

• Equilateral triangle — In geometry, an equilateral triangle is a triangle in which all three sides have equal lengths. In traditional or Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also equal to each other and… …   Wikipedia