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Online Geometry: Tangential or Circumscribed
Quadrilateral, Theorems and Problems
![Online Geometry](h_online_math_geometry_728.jpg)
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Tangential or Circumscribed
Quadrilateral, Theorems and Problems - Index
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![Tangential or Circumscribed Quadrilateral Index, theorems and problems](tangential_quadrilateral_17.jpg) |
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![Geometry Problem 1567](../school-college/6/p1567-bases-isosceles-trapezoid-circumscribed-circle-chord-distance-measurement-tangent-tutoring-1.jpg) |
Geometry Problem 1567:
Finding Tangent Distances in a Circumscribed Isosceles Trapezoid. |
![Geometry Problem 1502](../school-college/6/p1502-rigth-triangle-incircles-measurement-inradius-square-quadrilateral-1.jpg) |
Geometry
Problem 1502.
Right Triangle, Incircle, Inradius, Geometric Mean of 2 Inradii, Angle Bisector, Perpendicular, Tangential Quadrilateral. |
![Dynamic Geometry 1481](../school-college/5/p1481-5-circumscribed-quadrilateral-tangent-pitot-ipad-1.jpg) |
Dynamic Geometry 1481.
Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Step-by-step Illustration. GeoGebra,
iPad. |
![Dynamic Geometry 1470](../school-college/5/p1470-tangential-quadrilateral-circle-rhombus-geogebra-1.jpg) |
Dynamic Geometry 1470.
Tangential Quadrilateral, Incircles, Tangent,
Parallel, Rhombus, Step-by-step Illustration. |
![Geometry Problem 1466](../school-college/5/p1466-tangential-quadrilateral-newton-line-incenter-geogebra-ipad-1.jpg) |
Geometry Problem 1466.
Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points.
Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1465](../school-college/5/p1465-tangential-quadrilateral-incenter-equal-sum-area-1.jpg) |
Geometry Problem 1465.
Tangential Quadrilateral, Incenter, Inscribed Circle, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
![Geometry problem 1351](../school-college/4/p1351-circumscribed-tangential-quadrilateral-midpoint-perpendicular-1.jpg) |
Geometry Problem 1351. Two Tangential or Circumscribed Quadrilaterals, Midpoints, Perpendiculars. |
![Geometry problem 1181](../school-college/2/p1181-quadrilateral-tangential-cyclic-diameter-problem-solving-1.jpg) |
Geometry Problem 1181
Cyclic Quadrilateral and Tangential Quadrilateral, Diameter as a Diagonal, Incenter, Circumcenter. |
![Problem 910](../school-college/p910-bicentric-quadrilateral-incenter-circumcenter-distance-circumradius-1.jpg) |
Geometry Problem 910.
Bicentric Quadrilateral, Distance between the Incenter and Circumcenter, Incircle, Circumcircle, Circumscribed, Inscribed, Circumradius.
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![Problem 909 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius](../school-college/p909-bicentric-quadrilateral-incenter-distance-circle-inradius-1.jpg) |
Geometry Problem 909.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius,
Distance.
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![Problem 908 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius](../school-college/p908-bicentric-quadrilateral-tangent-circle-inradius-1.jpg) |
Geometry Problem 908.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius.
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![Problem 907 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius](../school-college/p907-bicentric-quadrilateral-tangent-circle-inradius-1.jpg) |
Geometry Problem 907.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Tangent, Inradius.
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![Problem 906 Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Perpendicular](../school-college/p906-bicentric-quadrilateral-chord-perpendicular-1.jpg) |
Geometry Problem 906.
Bicentric Quadrilateral, Incircle, Circumcircle, Circumscribed, Inscribed, Perpendicular.
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![Geometry Problem 883](../school-college/p883-5-circumscribed-quadrilateral-tangent-1.jpg) |
Geometry Problem 883
Five Circumscribed Quadrilaterals, Circle, Tangent, Common Tangent. |
![Two Circles, Tangent Lines](../school-college/p817-two-circumscribed-quadrilateral-circle-common-tangent-1.jpg) |
Geometry Problem 817. Two
circles, Tangent Lines, Circumscribed Quadrilaterals. |
![Tangential Quadrilateral: Pitot Theorem](pitot_theorem_17.jpg) |
Geometry Problem 816.
Tangential or Circumscribed Quadrilateral: Pitot Theorem |
![Tangential Quadrilateral](tangential_quadrilateral_2_.jpg) |
Tangential or Circumscribed Quadrilateral: Diagonals, Altitudes Theorem. |
![Tangential Quadrilateral](tangential_quadrilateral_1_.jpg) |
Tangential or Circumscribed Quadrilateral: Diagonals, Inradii Theorem. |
![Square, Triangle, Area, Circle](../problem/p371_square_circle_17.jpg) |
Proposed Problem 371.
Square, Inscribed circle, Triangle, Area. |
![Tangential quadrilateral](../problem/p352_tangential_quadrilater.jpg) |
Proposed Problem 352.
Tangential quadrilateral, Incircles, Common tangent, Circumscribable or
Tangential quadrilateral. |
![Rhombus, Circumscribable quadrilateral](../problem/p351_tangential_quadrilater.jpg) |
Proposed Problem 351.
Rhombus, Incircles, Common tangent, Circumscribable or Tangential
quadrilateral. |
![Six Tangential Quadrilaterals Theorem, Problem 1175](../geometry/six_quadrilateral_17.jpg) |
Geometry Problem 1175: Six Tangential or Circumscribed Quadrilaterals Theorem |
![Eight Point Circle Theorem. Elearning](eight_point_circle_17.jpg) |
Eight-Point Circle Theorem
Step-by-Step construction, Manipulation, and animation. |
![Circumscribed Quadrilateral, Angles](../problem/p724_quadrilateral_circle1.jpg) |
Geometry Problem
724.
Circumscribed Quadrilateral, Circle, Angle, Incenter, Half
the Measure. |
![Elearning 331 Square, Inscribed Circle](../problem/p331_square_circle_17.jpg) |
Proposed Problem 331.
Square, Point on the Inscribed Circle, Tangency Points. |
![Area of a triangle](../problem/p322_triangle_area_17.jpg) |
Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area. |
![](../NewtonTheorem170.jpg) |
Newton's
Theorem: Newton's Line. Circumscribed quadrilateral, midpoints of
diagonals, center of the circle inscribed.
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![](../ArchBooLem07_170.jpg) |
Proposition 7
Square and inscribed and circumscribed Circles
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![Circumscribed quadrilateral](../problem/p153_quadrilateral_circle_1.jpg) |
Proposed Problem 153.
Circumscribed Quadrilateral, Diagonals Concurrent with Chords.
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![Circumscribed Quadrilateral](../problem/p152_circumscribed_17.jpg) |
Proposed Problem 152.
Circumscribed Quadrilateral, Diagonal, Chord, Proportion.
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![](../problem/p076_square_circle_17.jpg) |
Proposed
Problem 76: Area of a Circle.
Square, Circle, Circular Sector.
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![](../problem/p062_square_diagonal_17.jpg) |
Proposed Problem 62: Square
Diagonal, Inscribed Circle. |
![](../puzzle/newton_theorem_puzzle_170.jpg) |
Puzzle of the Newton's
Theorem: 50 pieces of circles. |
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