Online Geometry: Intersecting Circles, Theorems and Problems

Intersecting Circles- Table of Content

Common Chord to two circles.
Theorems and Problems.

Geometry Problem 756: Four Circles Theorem
Using TracenPoche Interactive Dynamic Software.
Step-by-Step construction, Manipulation, and animation.

iPad Apps: Geometry Designer Illustration. Four Circles Theorem.
Interactive Geometry Software for iPad, iPhone, iPod.

Geometry Problem 885
Intersecting Circles, Three Tangent Lines, Midpoint.

Geometry Problem 875
Congruent Circles, Intersecting Circles, Secant, Center, Angle Trisection, Triple Angle.

Geometry Problem 795
Intersecting Circles, Common Chord, Midpoint, Tangent, Secant Line, Perpendicular, 90 Degrees.

Geometry Problem 788
Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral.

Geometry Problem 773
Intersecting Circles, Midpoint, Secant line, Bisection.

Geometry Problem 738.
Intersecting Circles, External Common Tangent, Common Chord, Secant, Circumcircle, Cyclic Quadrilateral, Concyclic Points.

Geometry Problem 728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint, Intersecting Circles, Concurrency.

Geometry Problem 723.
Squares, Circumscribed Circles, Collinear points.

Geometry Problem 722.
Squares, Circumscribed Circles, Collinear points.

Geometry Problem 720.
Excenter, Intersecting Circles, Angle, Measurement.

Geometry Problem 719.
Incenter, Intersecting Circles, Angle, Measurement.

Geometry Problem 718.
Intersecting Circles, Midpoint, Angle, Measurement.

Geometry Problem 717.
Intersecting Circles, Midpoint, Angle, Measurement.

Geometry Problem 716.
Problem 716. Intersecting Circles, Center, Radius, Perpendicular, 90 Degrees.

Geometry Problem 708.
Circle, Tangent, Intersecting, Lune, Area, Diameter.

Geometry Problem 705.
Intersecting Circles, Diameter, Angles, Measurement.

Geometry Problem 701.
Intersecting Circles, Diameter, Perpendicular, Angles, Congruence.

Geometry Problem 675.
Intersecting Circles, Secant, 45 and 90 Degrees, Collinear Points.

Geometry Problem 667.
Intersecting Circles, Secant, Tangent, Metric Relations, Mind Map.

Geometry Problem 666.
Intersecting Circles, Secant, Tangent, Concyclic points, Mind Map.

Geometry Problem 665.
Intersecting Circles, Secant, Tangent, Angles, Mind Map.

Geometry Problem 661.
Intersecting Circles, Centers, Secant, Parallelogram.

Geometry Problem 622
Square with Perpendiculars, Transversal, Congruence.

Geometry Problem 610
Intersecting Circles, Radius, Parallel, Common Tangent, Angle, 90 Degrees.

Geometry Problem 607
Intersecting Circles, Triangles, Metric Relations, Measurement.

Geometry Problem 601
Cyclic Quadrilateral, Incenter, Excenter, Rectangle, Intersecting Circles.

Geometry Problem 586.
Cyclic Quadrilateral, Diagonals, Any Point, Circumcenters, Circumcircles, Concurrency, Intersecting Circles.

Problem 585.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Concurrency, Intersecting Circles.

Problem 584.
Cyclic Quadrilateral, Diagonals, Circumcenters, Circumcircles, Parallelograms, Intersecting Circles.

Problem 583.
Quadrilateral, Diagonals, Circumcenters, Parallelogram, Octagon, Areas, Intersecting Circles.

Problem 536.
Intersecting Circles, Chord, Perpendicular.

Problem 487.
Intersecting Circles, Area, Diameter, Parallel, 90 Degrees.

Problem 476.
Triangle, Circumcenter, Circumcircle, Angles.

Proposed Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius.

Proposed Problem 453.
Intersecting Circles, Tangent, Circular Segment, Congruence, Area.

Proposed Problem 445.
Three Tangent Circles, Tangency Points, Circumradius.

Proposed Problem 443.
Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles.

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 1: On a given finite line to construct an equilateral triangle

Proposed Problem 369.
Intersecting circles, Chord, Center, Angle, Congruence.

Proposed Problem 364.
Obtuse triangle, Congruence, Circles, Diameter, Curvilinear triangle, Area.

Proposed Problem 360.
Area of a triangle, Curvilinear triangles, Circles, Diameters.

Proposed Problem 299.
Intersecting Circles, Chord, Secant, Midpoint, Congruence.

Proposed Problem 298.
Intersecting Circles, Chord, Secant, Midpoint, Congruence.

Mascheroni Construction with compass alone. Midpoint of a segment.
Intersecting circles.

Miquel's Pentagram with Dynamic Geometry

Miquel's Pentagram Theorem. Proof

Johnson's Theorem, Intersecting circles.
HTML5 Animation
Adobe Flash Animation

Simson Line
Intersecting circles.

Angle between two Simson Lines
Intersecting circles.

Clifford's Circle Chain Theorems
Intersecting circles.

Proposed Problem 297.
Intersecting Circles, Chord, Secant, Radius, Angle, Perpendicular.

Proposed Problem 296.
Intersecting Circles, Chord, Radius, Angle, Perpendicular.

Proposed Problem 294.
Right triangle, Circumcenter, Excenter, Hypotenuse, Perpendicular.
Intersecting circles.

Proposed Problem 288: .
Tangent circles, Harmonic Mean, Radius, Diameter, Intersecting circles.

Proposed Problem 279.
Tangent Circles, Common External Tangent, Chords, Inradius.
Intersecting circles.

Proposed Problem 276.
Square, 90 degree Arcs, Circle, Radius.
Intersecting circles

Proposed Problem 182. Overlapping Circles, Find an angle.
Intersecting circles

Proposed Problem 159. Distances from the Circumcenter to the Incenter and the Excenters.
Intersecting circles

Proposed Problem 158. Relation between the Circumradius, Inradius and Exradii of a triangle.
Intersecting circles

Proposed Problem 157. Distance from the Circumcenter to the Excenter.
Intersecting circles

Proposed Problem 156. Triangle, Circumradius, Exradius, Chord, Secant line.  

Proposed Problem 111. Orthogonal Circles.
Intersecting circles.

Proposed Problem 100. Circle Area, Archimedes' Book of Lemmas.
Intersecting circles.

Proposed Problem 83. Area of the Excircle Contact Triangle, exradius, circumradius.
Intersecting circles.

Proposed Problem 76: Area of a Circle. Square, Circle, Circular Sector. 
Intersecting circles

Proposed Problem 74: Three Intersecting Circles. Cyclic quadrilateral, Angles.
Intersecting circles

Proposed Problem 73: Three Intersecting Circles. Cyclic quadrilateral.
Intersecting circles

Proposed Problem 72: Intersecting Circles. Cyclic quadrilateral, Chords, Parallel.
Intersecting circles

Schiffler Point: Four Euler Lines with interactive animation and manipulation.

Four Circles Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation.
Intersecting circles

Three Circles Theorem Using TracenPoche Dynamic Software
Intersecting circles

Proposed Problem 68: Triangle, Incircle, Inradius, Tangent, Similarity.
Intersecting circles
 

Hippocrates and Squaring the Circle
Intersecting circles
 

Lunes of Hippocrates 4
Intersecting circles
 

Lunes of Hippocrates 3
Intersecting circles
 

Lunes of Hippocrates 2
Intersecting circles
 

Lunes of Hippocrates 1
Intersecting circles.