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Online Geometry: Circles, Theorems and Problems

Circles, Theorems and Problems: Table of Content (Page 2 of 10)

Circles

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.

Triangle, 3 Circumcenters, Concyclic, Cyclic quadrilateral

Geometry Problem 706.
Triangle, Cevian, Three Circumcenters, Circumcircles, Concyclic Points, Cyclic quadrilateral.

Intersecting Circles, Diameter

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

Triangle, Incircle, Diameter

Geometry Problem 703.
Triangle, Incircle, Tangency point, Diameter, Congruence.

Trianglr, Circumcicle, Concyclic

Geometry Problem 702.
Triangle, Circumcircle, Parallel, Concyclic Points.

Intersecting Circles, Diameter, Perpendicular

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

Equilateral triangle, Circle

Geometry Problem 700.
Equilateral Triangle, Circle, Circular Segment, Midpoint of a side, Metric Relations.

Equilateral triangle, Circle

Geometry Problem 699.
Equilateral Triangle, Circle, Circular Segment, Midpoint, Metric Relations.

Square, Circle, Area

Geometry Problem 697.
Square, Circle, Sector, Segment, Tangent, Inscribed, Congruence, Mind Map, Polya.

Circle, Square, Area

Geometry Problem 693.
Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Polya.

Quatrefoil, Circle, Square, Area

Geometry Problem 692.
Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, Polya.

Concentric Circles

Geometry Problem 680.
Concentric Circles, Radii, Chords, Perpendicular, Metric Relations.

Triangle, Circle, Median, Proportion

Geometry Problem 679.
Triangle, Circle, Median, Proportion.

Circles, Diameter, Tangent, Metric Relations

Geometry Problem 676.
Circles, Diameter, Tangent, Chord, Metric Relations.

Collinear points, Intersecting circles 

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

Tangent Circles, Chord, Metric Relations

Geometry Problem 673.
Internally tangent circles, Chord, Tangent, Metric Relations.

Tangent Circles, Geometric Mean

Geometry Problem 672.
Internally tangent circles, Chord, Tangent, Geometric Mean.

Triangle, Circumcircle, Incenter

Geometry Problem 669.
Triangle, Circumcircle, Incenter, Midpoint, Collinear points, Mind Map.

Right triangle, Incircles

Geometry Problem 668.
Right triangle, Incircles, Parallel, Common Tangent, Mind Map.

Intersecting circles, Tangent, Metric Relations

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

Intersecting circles

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

Intersecting circles

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

Triangle, 60 Degrees, Centers, Angles

Geometry Problem 664.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Angles, Triangle centers.

Triangle Centers, Angles

Geometry Problem 662.
Triangle, Incenter, Circumcenter, Orthocenter, Circle, Angle, Measurement.

Intersecting Circles

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

Triangle, Circle, Diameter, Perpendicular

Geometry Problem 660.
Triangle, Circle, Diameter, Perpendicular Lines.

Triangle, Altitudes, Circles, Angles

Geometry Problem 658.
Triangle, Altitudes, Diameter, Circle, Angles.

Archimedes Book of Lemmas Proposition 14

Geometry Problem 654.
Archimedes Book of Lemmas: Proposition 14
Salinon, Semicircles, Diameter, Circle, Area.

Archimedes Book of Lemmas Proposition 13

Geometry Problem 653.
Archimedes Book of Lemmas: Proposition 13
Circle, Chord, Perpendicular, Congruence.

Archimedes Book of Lemmas Proposition 12

Geometry Problem 652.
Archimedes Book of Lemmas: Proposition 12
Perpendicular chords, Arcs, Radius.

Archimedes Book of Lemmas Proposition 11

Geometry Problem 651.
Archimedes Book of Lemmas: Proposition 11
Perpendicular chords, Arcs, Radius.

Tangent Circles

Geometry Problem 650.
Tangent Circles, Diameter, Radius, Chord, Perpendicular.

Archimedes Book of Lemmas Proposition 10

Geometry Problem 649.
Archimedes Book of Lemmas: Proposition 10
Tangent, Chord, Parallel, Midpoint.

Archimedes Book of Lemmas Proposition 9

Geometry Problem 648.
Archimedes Book of Lemmas: Proposition 9
Perpendicular chords, Arcs.

Archimedes Book of Lemmas Proposition 8

Geometry Problem 647.
Archimedes Book of Lemmas: Proposition 8
Angle trisection. Neusis construction.

Archimedes Book of Lemmas Proposition 7

Geometry Problem 646.
Archimedes Book of Lemmas: Proposition 7
Square,Inscribed and Circumscribed Circles, Area.

Semicircle, Perpendicular, Inscribed Circle, Tangent, Congruence

Geometry Problem 639
Semicircle, Diameter, Perpendicular, Inscribed Circle, Tangent, Arbelos, Congruence.

Semicircle, Perpendicular, Inscribed Circle, Tangent, Chord

Geometry Problem 637
Semicircle, Diameter, Perpendicular, Inscribed Circle, Chord, Tangent, Arbelos.

Semicircle, Perpendicular, Inscribed Circle, Tangent

Geometry Problem 636
Semicircle, Diameter, Perpendicular, Inscribed Circle, Common Tangent.

Semicircle, Perpendicular, Inscribed Circle, Radius

Geometry Problem 635
Semicircle, Diameter, Perpendicular, Inscribed Circle, Radius.

Cyclic quadrilateral, Congruence, Parallel

Geometry Problem 628
Cyclic Quadrilateral, Congruence, Parallel Lines.

Cyclic quadrilateral, Congruence, and Concyclic Points

Geometry Problem 627
Cyclic Quadrilateral, Congruence, Concyclic Points.

Triangle, Incenter, Excenter, Distance

Geometry Problem 626
Triangle, Distance from the Incenter to an Excenter.

Triangle, Incenter, Excenter, Similarity

Geometry Problem 624
Triangle, Incenter, Excenter, Incircle, Excircle, Similarity.

Triangle, Incenter, Excenter, Concyclic Points

Geometry Problem 623
Triangle, Incenter, Excenter, Incircle, Excircle, Concyclic Points.

Intersecting Circles

Geometry Problem 622
Square with Perpendiculars, Transversal, Congruence.

Intersecting Circles, 90 degrees

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

Intersecting Circles

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

Square, Circle, Metric Relation

Geometry Problem 605
Circle, Square, Chord, Perpendicular, Circular Segment, Metric Relations.

Cyclic quadrilateral, Incenter, Excenter

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

Circle Area, Tangent

Geometry Problem 600
Circle, Area, Tangent, Semicircle, Tangency Point.

Triangle, Incircle, Inradius, Midpoint, Concurrency

Geometry Problem 592.
Triangle, Incenter, Incircle, Tangency Point, Midpoints, Concurrent Lines, Congruence.

Triangle, Incenter

Geometry Problem 587.
Triangle, Incenter, Incircle, Tangency Point, Midpoint, Distance, Half the Difference.

Isosceles triangle, Circle

Problem 577.
Isosceles triangle, Midpoint, Perpendicular, Concyclic points, Circle.

Math Education: Triangle, Incenter

Problem 562.
Triangle, Cevian, Incenter, Perpendicular, Concyclic Points, Cyclic Quadrilateral.

Intersecting Circles, Chord, Perpendicular 

Problem 536.
Intersecting Circles, Chord, Perpendicular.

Sawayama - Thebault Theorem

Problem 535.
Sawayama - Thebault's theorem: Triangle, Incircle, Circle, Center, Tangent, Collinear.

Problem 533: Euclid's Elements Book XIII, Proposition 10

Problem 533.
Euclid's Elements, Book XIII, Proposition 10. One page visual illustration.

Right Trapezoid, Circle, Diameter

Problem 529.
Right Trapezoid, Circle, Diameter.

Circle, Tangent, Secant, Midpoint

Problem 527.
Circle, Tangent, Secant, Chord, Midpoint, Measurement.

Equilateral triangle, Circumcircle

Problem 526.
Equilateral Triangle, Circumcircle, Chord, Measurement.

Circle, Tangent, Diameter, Radius, Congruence

Problem 525.
Circles, Diameter, Tangent, Radius, Congruence, Measurement.

Circle with equilateral triangles

Problem 524.
Circle, Equilateral Triangles, Midpoint, Side, Measurement.

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