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Online Geometry: Circles, Theorems and Problems

Circles - Table of Content (Page 9 of 10)

Circles

 

Circle Area, Tangent 

Geometry Problem 812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers.

Trisecting a line segment, 4 circles

Geometry Problem 811: Trisecting a line segment.
With four circles and one line.

Trisecting a line segment, 2 circles

Geometry Problem 810: Trisecting a line segment.
With two circles and eight lines.

Trisecting a segment with three circles

Geometry Problem 809: Trisecting a line segment.
With three circles and four lines.

Parallelogram, Perpendicular, Semicircle, Area

Geometry Problem 808
Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter.

Right Triangle Area, Incircle, Semicircle

Geometry Problem 807
Right Triangle Area, Incircle, Tangency Points, Semicircle Area.

Triangle, Circumcenter, Similarity

Geometry Problem 806
Triangle, Points on sides, Circumcenter, Similarity.

Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter

Geometry Problem 799
Parallelogram, Angle Bisector, Parallel, Triangle, Circumcircle, Circumcenter.

Parallelogram, Secant Line, Tangent Circles, Triangle

Geometry Problem 798
Parallelogram, Secant Line, Tangent Circles, Circumcircles, Triangle.

Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence

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

Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence

Geometry Problem 794
Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence.

Right Triangle, Altitude, Three Incircles, Circumradius

Geometry Problem 793
Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance.

Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles

Geometry Problem 792
Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles.

Right Triangle, Altitude, Incenter, Angle Bisector, Inradius

Geometry Problem 790
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence.

Right Triangle, Altitude, Angle Bisector, Inradius

Geometry Problem 789
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line.

Intersecting Circles, Secant Line, Midpoint, Cyclic Quadrilateral

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

Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations

Geometry Problem 787
Right Triangle, Inradius, 18 Equal Circles, Line Tangent, Legs, Hypotenuse, Ratio, Metric Relations.

Triangle, Orthocenter, Circumcircle, Diameter, Midpoint

Geometry Problem 783
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Midpoint.

Triangle, Orthocenter, Circumcircle, Diameter, Altitude, Parallelogram

Geometry Problem 782
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram.

Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular

Geometry Problem 781
Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular.

Triangle, Orthocenter, Inradius, Circumradius

Geometry Problem 780
Triangle, Sum of Inradius and Circumradius, Distances from the Orthocenter to the Vertices.

Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.

Geometry Problem 778
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.

Triangle, Distance from the Orthocenter, Vertex, Circle, Circumradius, Cosine

Geometry Problem 777
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine.

Triangle, Isogonal lines, Congruent angles, Perpendicular

Geometry Problem 776
Triangle, Isogonal lines, Congruent angles, Perpendicular, Concyclic points, Circle, Center, Midpoint.

Triangle, Two Altitudes, Circumcircle, Tangent, Parallel

Geometry Problem 774
Triangle, Two Altitudes, Circumcircle, Tangent at a Vertex, Parallel.

Intersecting Circles, Midpoint, Secant, Bisection

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

Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence

Geometry Problem 770
Parallelogram, Angle Bisector, Triangle, Circumcenter, Circumcircle, Angle Measurement.

Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint arc, Parallel chord, Congruence

Geometry Problem 769
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint of arc, Parallel to chord, Congruence.

Equilateral triangle, Circle, Tangent

Geometry Problem 767
Equilateral Triangle, Circle tangent to a side, Tangent line, Measurement, Secant.

Isosceles Triangle, Circle, Diameter, Altitude, Chord

Geometry Problem 760
Isosceles Triangle, Circle, Diameter, Altitude, Chord, Metric relations.

Four Circles Theorem. TracenPoche

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

Square, Circle, Angle

Geometry Problem 752.
Square, Circle, Tangent, Chord, Angle.

Circle, Chord, Congruence, 90 Degrees

Geometry Problem 745.
Circle, 90 Degrees, Chord, Congruence, Perpendicular, Metric Relations.

Parallelogram, Circle, Chord

Geometry Problem 744.
Parallelogram, Circle, Diameter, Chord, Congruence, Triangle, Metric Relations.

Cyclic quadrilateral, tangent, perpendicular

Geometry Problem 737.
Cyclic Quadrilateral, Circumscribed Circle, Diameter, Tangent, Perpendicular.

Triangle, Orthocenter, Circumcircle

Geometry Problem 729.
Triangle, Altitude, Orthocenter, Circumcircle, Perpendicular, Midpoint.

Triangle, Circle, Concurrency

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

Circumscribed Quadrilateral, Angles

Geometry Problem 724.
Circumscribed Quadrilateral, Circle, Angle, Incenter, Half the Measure.

Squares, Circles, Collinear

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

Squares, CIrcles, Collinear

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

Tangent Circles, Incenter, Chord

Geometry Problem 713.
Tangent Circles, Diameter, Chord, Tangent, Incenter, Incircle, Triangle.

Semicircles, Tangent, Perpendicular, Angle

Geometry Problem 712.
Semicircle, Diameter, Tangent, Perpendicular, Angle Measure.

Circle, Area, Tangent, Intersecting, Lune

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

Triangle, Excenter, Angle

Geometry Problem 707.
Triangle, Excenters, Angle Bisectors, Angle, Measurement.

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