Online Geometry: Circles, Theorems and Problems

Circles, Theorems and Problems: Table of Content (Page 1 of 10)

	Circle definition.
	Chord. Index. A chord of a circle is the line segment joining two points on the circle.
	Diameters and Chords, Theorems and Problems. Index.
	Perpendicular Chords. Index. Theorems and Problems.
	Semicircle. Index. Theorems and Problems.
	Circular Sector. Index. Theorems and Problems.
	Circular Segment. Index. Theorems and Problems.
	Circle Tangent Line. Index. Theorems and Problems.
	Intersection of a Line with a Circle
	Circle Area. Index. Theorems and Problems.
	Concentric Circles. Index. Theorems and Problems.
	Intersecting Circles Index. Theorems and Problems.
	Tangent Circles Index
	Common Chord to two circles. Theorems and Problems.
	Arbelos, Theorems and Problems Three tangent semicircles with collinear centers. Index
	Circumcircle Index.
	Cyclic Quadrilateral.
	Cyclic Quadrilateral with Perpendicular Diagonals.
	Concyclic Points.
	GeoGebra, Dynamic Geometry: Nine Point Circle HTML5 Animation for Tablets (iPad, Nexus..)
	Lunes of Hippocrates
	van Lamoen Circle - Index.
	Circle Inscribed in a Square, Theorems and Problems. Index.
	Butterfly theorem proof HTML5 Animation for iPad and Nexus.
	GeoGebra, Dynamic Geometry, Euclidean Egg with 8 Arcs in 5 Steps, Step-by-Step Construction HTML5 Animation for Tablets (iPad, Nexus)
	iPad Apps: Springle by Bolasol Inc. Geometric Art: Squares and Pentagons
	GeoGebra, Dynamic Geometry, Euclidean Egg, Step-by-Step Construction HTML5 Animation for Tablets (iPad, Nexus)
	Billiards and Geometry - Index Billiards Ball.
	Lemoine Line Theorem, Interactive illustration. HTML5 Animation for iPad and Nexus
	GeoGebra, Dynamic Geometry: Lemoine Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)
	GeoGebra, Dynamic Geometry: Simson Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)
	The Geometry of Sprawl: Sun City, AZ, Geometric Sociology - Map and News.
	Word Cloud of Circle. Visual Summary.
	Circumcenter. Index.
	Incenter of a triangle. Index.
	Excenter. Index. Excircle, Exradius.
	GeoGebra, Dynamic Geometry: Internal Feuerbach Point HTML5 Animation for Tablets (iPad, Nexus..)
	Soddy Circles and Descartes Theorem. Three tangent circles, Inscribed and Circumscribed Circles, Radii.
	Mascheroni construction with compass alone. Index
	Ptolemy's Theorems and Problems - Index.
	Brahmagupta Theorem and Problems - Index Brahmagupta (598–668) was an Indian mathematician and astronomer who discovered a neat formula for the area of a cyclic quadrilateral.
	Tangential or Circumscribed Quadrilateral
	Mascheroni construction: Find the center of a circle with compass alone.
	Mascheroni construction: Construct the circumcircle of a triangle with compass alone.
	Study: Walking in circles. Max-Planck-scientists show that people really walk in circles when lost.
	Euclid's Elements Book I, Proposition 3: Given two unequal straight lines, to cut off from the greater a straight line equal to the less
	Euclid's Elements Book I, Proposition 2: To place at a given point (as an extremity) a straight line equal to a given straight line
	Euclid's Elements Book I, Proposition 1: On a given finite line to construct an equilateral triangle
	Distance between the Incenter and the Centroid of a Triangle. Formula in terms of the sides a,b,c.
	Distances between Triangle Centers Index.
	Tangential or Circumscribed Quadrilateral: Diagonals, Inradii Theorem.
	Six Tangential or Circumscribed Quadrilaterals Theorem.
	iPad Apps: Geometry Designer Illustration. Four Circles Theorem. Interactive Geometry Software for iPad, iPhone, iPod.
	Johnson's Theorem, Intersecting circles. HTML5 Animation
	Geometry Problem 875 Congruent Circles, Intersecting Circles, Secant, Center, Angle Trisection, Triple Angle.
	Geometry Problem 874 Isosceles Triangle, Circumcircle, Circumcenter, Congruence.
	Geometry Problem 868 Cyclic Quadrilateral, Circle, Five Rectangles, Four Centers, Congruence.
	Geometry Problem 866 Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees.
	Geometry Problem 863 Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations.
	Geometry Problem 861 Triangle, Incircle, Parallel, Tangent, Metric Relations.
	Geometry Problem 853 Online Geometry Problem 853: Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations.
	Geometry Problem 852 Online Geometry Problem 852: Triangle, Incircle, Inradius, Tangent, Metric Relations.
	Geometry Problem 847 van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points.
	Geometry Problem 846 Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity.
	Geometry Problem 837 Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points.
	Geometry Problem 827: Brianchon Corollary Circumscribed Hexagon, Tangency Points, Diagonal, Opposite Sides, Concurrent lines.
	Geometry Problem 826: Brianchon's Theorem Circumscribed Hexagon, Concurrent Diagonals.
	Geometry Problem 825. Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.
	Geometry Problem 823. Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point.
	Geometry Problem 822. Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.
	Geometry Problem 821. Adams Circle.
	Geometry Problem 817. Two circles, Tangent Lines, Circumscribed Quadrilaterals.
	Geometry Problem 816: Tangential or Circumscribed Quadrilateral: Pitot Theorem.
	Geometry Problem 815. Triangle, Incircle, Semicircles, Arbelos, Area.
	Geometry Problem 813. Right Triangle Area, Excircles, Cathetus, Tangency Points, Quadrilateral Area.
	Geometry Problem 812. Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers.
	Geometry Problem 811: Trisecting a line segment. With four circles and one line.
	Geometry Problem 810: Trisecting a line segment. With two circles and eight lines.
	Geometry Problem 809: Trisecting a line segment. With three circles and four lines.
	Geometry Problem 808 Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter.
	Geometry Problem 807 Right Triangle Area, Incircle, Tangency Points, Semicircle Area.
	Geometry Problem 806 Triangle, Points on sides, Circumcenter, Similarity.
	Geometry Problem 799 Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter.
	Geometry Problem 798 Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle.
	Geometry Problem 795 Intersecting Circles, Common Chord, Midpoint, Tangent, Secant Line, Perpendicular, 90 Degrees.
	Geometry Problem 794 Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.
	Geometry Problem 793 Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance.
	Geometry Problem 792 Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles.
	Geometry Problem 790 Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence.
	Geometry Problem 789 Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line.
	Geometry Problem 788 Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral.
	Geometry Problem 787 Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations.
	Geometry Problem 783 Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Midpoint.
	Geometry Problem 782 Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram.
	Geometry Problem 781 Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular.
	Geometry Problem 780 Triangle, Sum of Inradius and Circumradius, Distances from the Orthocenter to the Vertices.
	Geometry Problem 778 Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.
	Geometry Problem 777 Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine.
	Geometry Problem 776 Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center, Midpoint.
	Geometry Problem 774 Triangle, Two Altitudes, Circumcircle, Tangent at a Vertex, Parallel.
	Geometry Problem 773 Intersecting Circles, Midpoint, Secant line, Bisection.
	Geometry Problem 770 Parallelogram, Angle Bisector, Triangle, Circumcenter, Circumcircle, Angle Measurement.
	Geometry Problem 769 Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint of arc, Parallel to chord, Congruence.
	Geometry Problem 767 Equilateral Triangle, Circle tangent to a side, Tangent line, Measurement, Secant.
	Geometry Problem 760 Isosceles Triangle, Circle, Diameter, Altitude, Chord, Metric relations.
	Geometry Problem 756: Four Circles Theorem Using TracenPoche Interactive Dynamic Software. Step-by-Step construction, Manipulation, and animation.
	Geometry Problem 752. Square, Circle, Tangent, Chord, Angle.
	Geometry Problem 745. Circle, 90 Degrees, Chord, Congruence, Perpendicular, Metric Relations.
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