

Plane Geometry: Intersection of a Line with a Circle, Secant
Line, Theorems and Problems

Line meets the circle,
Two points whisper connections,
Paths cross, then diverge.


Seven Circles Theorem
Tangent circles, Intersection of a Line with
a Circle. 

Geometry Problem 1575:
Prove an Angle Bisector in a Triangle Involving an Altitude, Midpoint, and Excircle 

Geometry Problem 1574:
Triangle with Three Circles through a Point and the Concyclicity of Six Intersection Points 

Dynamic Geometry 1478.
Cyclocevian, ReuschleTerquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Stepbystep Illustration. GeoGebra,
iPad. 

Geometry Problem 1432.
Tangent Circles, Secant, Tangent Lines, Proportionality, Similarity,
Poster Typography, iPad. 

Problem 1342.
Circle, Secant, Chord, Midpoint, Concyclic Points, Cyclic Quadrilateral.


Geometry Problem 1322.
Triangle, Angle Bisector, Circumcircle, Chord, Secant, Sum of two Angles. 

Geometry Problem 1321.
Intersecting Circles, Diameter, Secant, Chord, Collinearity. 

Geometry Problem 1239
Intersecting Circles, Secant, Concyclic Points, Congruence. Mobile Apps 

Geometry Problem 1236
Intersecting Circles, Secant, Concyclic Points. 

Geometry Problem 1172
Cyclic Quadrilateral, Circle, Secant, Triangle, Similarity, Metric Relations. 

Geometry Problem 1150.
Circle, Perpendicular Secants, 90 Degrees, Congruence. 

Geometry Problem 954.
Intersecting Circles, Secant, Common Chord, Cyclic Quadrilateral, Angle Bisector. 

Geometry Problem 953.
Intersecting Circles, Secant, Common Chord, Cyclic Quadrilateral, Perpendicular. 

Geometry Problem 950.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. 

Geometry Problem 949.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. 

Geometry Problem 948.
Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. 

Geometry Problem 941.
Circles Tangent Externally, Tangent, Secant, Proportion, Angle. 

Geometry Problem 940.
Circle, Tangent, Secant, Chord, Parallel, Perpendicular, 90 Degrees, Midpoint. 

Geometry Problem 939.
Circle, Tangent, Secant, Chord, Parallel, Midpoint. 

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

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

Problem 575.
Cyclic quadrilateral, Angle bisector, Measurement, Intersection of a Line with a
Circle. 

Problem 574.
Circle, Chord, Secant, Angle Bisector, Perpendicular, Intersection of a Line
with a Circle. 

Problem 573.
Cyclic quadrilateral, Angle bisector, Perpendicular, Intersection of a Line with
a Circle. 

Problem 571.
Circle, Diameter, Chord, Perpendicular, Measurement, Intersection of a Line with
a Circle. 

Problem 568.
Triangle, Excircles, Tangency Point, Congruence, Intersection of a Line with a
Circle. 

Problem 567.
Right triangle, Incircle, Excircle, Collinear tangency points, Intersection of a
Line with a Circle. 

Problem 565.
Triangle, Isogonal lines, Angles, Congruence, Concyclic Points, Intersection of
a Line with a Circle. 

Problem 564.
Complete Quadrilateral, Incenter, Excenter, Concyclic Points, Incircle,
Excircle, Intersection of a Line with a Circle. 

Problem 548.
Triangle, Transversal, Four Circumcircles, Circumcenters, Concyclic Points,
Similarity, Intersection of a Line with a Circle. 

Problem 547.
Triangle, Transversal, Four Circumcircles, Concurrency, Intersection of a Line
with a Circle. 
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