Recent Additions 2, Theorems and Problems, Plane Geometry

Geometry Theorems and Problems - Recent Additions (Page 2 of 15)

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

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

Arbelos Definition by Archimedes
Three Semicircles, Tangent, Diameters.

Geometry Problem 642.
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Archimedes Book of Lemmas: Proposition 3
Semicircle, Perpendicular, Arc, Midpoint, Congruence.

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

Geometry Problem 640.
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Archimedes Book of Lemmas: Proposition 1
Tangent circles and parallel diameters 

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

Perpendicular Bisector.

Geometry Problem 638
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Arbelos and Inscribed Circle: Concyclic Points.

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

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

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

Geometry Problem 634
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Right Triangle, Altitude, Incenters, Areas.

Geometry Problem 633
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Triangle, Parallel Lines, Intersecting Lines.

Geometry Problem 632.
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Triangle, Interior and Exterior Angle Bisectors, Midpoints, Collinear Points.

Geometry Problem 631.
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Triangle, Exterior Angle Bisectors, Collinear Points.

Clawson Point.
Orthic and Extangents Triangles, Concurrent lines.

Clawson Point Puzzle, Geometry for Kids.
22 Piece Polygons

Triangle Incenter by Folding, Video .
Dynamic Geometry Software: Tabula by Numeracy Works.
Step-by-Step construction, Manipulation, and animation.

Triangle Circumcenter by Folding, Video.
Dynamic Geometry Software: Tabula by Numeracy Works.
Step-by-Step construction, Manipulation, and animation.
Perpendicular Bisectors.

Geometry Problem 629
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Triangle, Perpendicular to Sides, Intersecting Lines, Altitude.

Geometry Problem 628
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Cyclic Quadrilateral, Congruence, Parallel Lines.

Sangaku Japanese Geometry
Seventeenth and nineteenth centuries.

Triangle Orthocenter by Folding, Video.
Dynamic Geometry Software: Tabula by Numeracy Works.
Step-by-Step construction, Manipulation, and animation.

Triangle Centroid by Folding, Video.
Dynamic Geometry Software: Tabula by Numeracy Works.
Step-by-Step construction, Manipulation, and animation.

Geometry Problem 627
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Cyclic Quadrilateral, Congruence, Concyclic Points.

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

Geometry Problem 625
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Triangle, Parallel Lines, Congruence, Angle Bisector.

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

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

Geometry Problem 622
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Square with Perpendiculars, Transversal, Congruence.

Geometry Problem 621
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Three Rectangles, Diagonals, Centers, Angles.

Geometry Problem 620
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Three Rectangles, Diagonals, Centers, Angles.

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

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

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

Geometry Problem 616
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Parallelogram, Diagonals, Intersecting Lines, Parallel Lines.

Geometry Problem 615
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Right Triangle with a Square, Diagonals, Center, Area of Quadrilateral.

Geometry Problem 614
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Parallelogram, Diagonals, Intersecting Lines, Parallel Lines.

Geometry Problem 613
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Altitude of a Triangle, Perpendicular, Collinear Points.

Geometry Problem 612
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Altitude of a Triangle, Perpendicular, Congruence.

Geometry Problem 611
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Altitude of a Triangle, Perpendicular, Collinear Points, Parallel.

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

Geometry Problem 609
Triangle, Perpendiculars, 90 Degrees, Collinearity.

Geometry Problem 608
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Square with Right Triangles, Metric Relations, Congruence, Measurement.

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

Geometry Problem 606
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Isosceles Triangles, Perpendicular and Parallel Lines.

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

Geometry Problem 604
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Parallelograms, Triangle, Trapezoid, Area.

Geometry Problem 603
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Parallelogram, Diagonals, Congruence, Concurrency.

Geometry Problem 602
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Triangle, Angles, 30 and 45 Degrees, Cevian, Congruence.

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

Brianchon's Theorem in a Circumscribed Hexagon.

Brianchon Corollary, Circumscribed Hexagon, Concurrency lines.

Carnot's Theorem in an Acute Triangle.

Carnot's Theorem in an Obtuse Triangle.

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

Geometry Problem 599
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Regular Hexagon, Square, Midpoint, Angle, Degrees.

Geometry Problem 598
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Trapezoid, Perpendicular, Equal Angles, Metric Relation.