Machu Picchu, Geometry Theorems, Problems, Online Education

Circle Tangent Line, Theorems and Problems - Table of Content, Page 1 of 5

Tangent Line to a Circle

Incenter, Incircle, Index

Incircle of a triangle. Index.
Tangent line to a circle

Excenter, Excircle, Index

Excircle. Index.
Tangent line to circle.

Lemoine Line Theorem

Lemoine Line Theorem, Interactive illustration.
HTML5 Animation for iPad and Nexus

Dynamic Geometry: Lemoine Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Lemoine Line of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Pythagoras curiosity. Online tutoring.

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

Geometry Problem 883

Geometry Problem 883
Five Circumscribed Quadrilaterals, Circle, Tangent, Common Tangent.

Circumscribed trapezoid, Inscribed Circle, Tangent

Geometry Problem 863
Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations.

Triangle, Incircle, Parallel, Tangent, Metric Relations

Geometry Problem 861
Triangle, Incircle, Parallel, Tangent, Metric Relations.

Two Circles, Tangent Lines

Geometry Problem 817.
Two circles, Tangent Lines, Circumscribed Quadrilaterals.

Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence

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

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.

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, Two Altitudes, Circumcircle, Tangent, Parallel

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

Equilateral triangle, Circle, Tangent

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

Square, Circle, Angle

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

Intersecting Circles, Concyclic points

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

Circumscribed Quadrilateral, Angles

Geometry Problem 724.
Circumscribed Quadrilateral, Circle, Angle, Incenter, Half the Measure, Tangent line to circles.

Tangent Circles, Incenter, Chord

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

Semicircles, Tangent, Perpendicular, Angle

Geometry Problem 712.
Semicircle, Diameter, Tangent, Perpendicular, Angle Measure, Tangent line to circle.

Triangle, Excenter, Angle

Geometry Problem 707.
Triangle, Excenters, Angle Bisectors, Angle, Measurement, Tangent line to circles.

Triangle, Incircle, Diameter

Geometry Problem 703.
Triangle, Incircle, Tangency point, Diameter, Congruence, Tangent line to circles.

Square, Circle, Area

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

Circle, Square, Area

Geometry Problem 693.
Square, Inscribed and Circumscribed Circle, Areas, Mind Map, Tangent line to circle.

Quatrefoil, Circle, Square, Area

Geometry Problem 692.
Quatrefoil, Four Equal Circles and a Circle Inscribed in a Square, Areas, Mind Map, Tangent line to circle.

Distance between the incenter to the centroid

Problem 690: Distance between the Incenter and the Centroid of a Triangle.
Formula in terms of the sides a,b,c. Tangent line to circle.

Triangle, Excircles, Tangent, Concurrency

Geometry Problem 689.
Triangle, Three Excircles, Tangency points, Tangent lines, Concurrent Lines, Mind Map.

Triangle, Excircles, COncurrency

Geometry Problem 687.
Triangle, Three Excircles, Tangency points, Concurrent Lines, Tangent line to circle
.

Triangle, Excircles, Tangent

Geometry Problem 686.
Triangle, Three Excircles, Tangency points, Tangent lines to circle, Semi-perimeter, Congruence.

Outer Nagel Point

Geometry Problem 684: Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent lines, Tangent line to circle, Semi-perimeter, Ceva theorem.

Nagel Point

Geometry Problem 683: Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Tangent line to circle, Semi-perimeter, Ceva theorem.

Gergonne Point Theorem

Geometry Problem 682: Gergonne External Point.
Triangle, Excircle, Tangency points, Concurrent lines, Tangent line to circle, Semiperimeter, Ceva theorem.

Gergonne Point Theorem

Geometry Problem 681: Gergonne Point.
Triangle, Incircle, Tangency points, Concurrent lines, Tangent line to circle, Semiperimeter, Ceva theorem.

Circles, Diameter, Tangent, Metric Relations

Geometry Problem 676.
Circles, Diameter, Tangent line to circle, Chord, Metric Relations.

Tangent Circles, Chord, Metric Relations

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

Tangent Circles, Geometric Mean

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

Triangle, 60 Degrees

Geometry Problem 670.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Congruence, Tangent line to circle.

Triangle, Circumcircle, Incenter

Geometry Problem 669.
Triangle, Circumcircle, Incenter, Tangent line to circle, Midpoint, Collinear points, Mind Map.

Right triangle, Incircles

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

Intersecting circles, Tangent, Metric Relations

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

Intersecting circles

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

Intersecting circles

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

Triangle Centers, Angles

Geometry Problem 662.
Triangle, Incenter, Circumcenter, Orthocenter, Circle, Tangent line to circle, Angle, Measurement.

Triangle, Incircle, Parallel

Geometry Problem 657.
Triangle, Incircle, Tangency Points, Parallel Lines, Congruence, Tangent line to circle.

Archimedes Book of Lemmas Proposition 12

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

Archimedes Book of Lemmas Proposition 10

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

Archimedes Book of Lemmas Proposition 7

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

Archimedes Book of Lemmas Proposition 5

Geometry Problem 644.
Archimedes Book of Lemmas: Proposition 5
Semicircle, Circle, Perpendicular, Arbelos, Archimedean Twins, Tangent line to circle.

Archimedes Book of Lemmas Proposition 4

Geometry Problem 643.
Archimedes Book of Lemmas: Proposition 4
Semicircle, Circle, Perpendicular, Arbelos, Area, Tangent line to circle.

Archimedes Book of Lemmas Proposition 2

Geometry Problem 641.
Archimedes Book of Lemmas: Proposition 2
Semicircle, Perpendicular, Midpoint, Tangent line to circle.

Semicircle, Perpendicular, Inscribed Circle, Tangent, Congruence

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

Semicircle, Perpendicular, Inscribed Circle, Tangent, Chord

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

Semicircle, Perpendicular, Inscribed Circle, Tangent

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

Semicircle, Perpendicular, Inscribed Circle, Radius

Geometry Problem 635
Semicircle, Diameter, Perpendicular, Inscribed Circle, Radius, Tangent line to circle.

Clawson Point

Geometry Problem 630: Clawson Point.
Orthic and Extangents Triangles, Concurrent lines, Tangent line to circle.

Triangle, Incenter, Excenter, Distance

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

Triangle, Incenter, Excenter, Similarity

Geometry Problem 624
Triangle, Incenter, Excenter, Incircle, Excircle, Similarity, Tangent line to circle.

Triangle, Incenter, Excenter, Concyclic Points

Geometry Problem 623
Triangle, Incenter, Excenter, Incircle, Excircle, Concyclic Points, Tangent line to circle.

Triangle Area, 30 Degrees, Incircle

Geometry Problem 619
Triangle Area, 30 Degrees, Incircle, Incenter, Tangent line to circle.

Triangle area, 60 degrees

Geometry Problem 618
Triangle Area, 60 Degrees, Incircle, Incenter, Tangent line.

Right triangle area

Geometry Problem 617
Right Triangle Area, Incircle, Incenter, Tangent line to circle, 90 Degrees.

Intersecting Circles, 90 degrees

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

Circle Area, Tangent

Geometry Problem 600
Circle, Area, Tangent, Semicircle, Tangency Point, Tangent line to circle.

Brianchon Theorem

Brianchon's Theorem in a Circumscribed Hexagon.
Tangent line to circle.

Brianchon Corollary

Brianchon Corollary, Circumscribed Hexagon, Concurrency lines.
Tangent line to circle.

Carnot's Theorem, Acute Triangle

Carnot's Theorem in an Acute Triangle.
Tangent line to circle.

Carnot's Theorem, Obtuse Triangle

Carnot's Theorem in an Obtuse Triangle.
Tangent line to circle.

Triangle, Incircle, Altitude, Incenter, Angle

Geometry Problem 594
Triangle, Incenter, Incircle, Inradius, Tangency Point, Tangent line to circle, Midpoint, Altitude, Angle, Half the Difference.

Triangle, Incircle, Inradius, Midpoint, Concurrency

Geometry Problem 592
Triangle, Incenter, Incircle, Tangency Point, Tangent line to circle, Midpoints, Concurrent Lines, Congruence.

Triangle, Incircle, Inradius, Altitude, Midpoint

Geometry Problem 591
Triangle, Incenter, Incircle, Inradius, Tangency Point, Tangent line to circle, Midpoint, Altitude.

Triangle, Incenter, Midpoint, Area

Geometry Problem 590
Triangle, Incenter, Incircle, Tangency Point, Tangent line to circle, Midpoint, Areas.

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