Geometry from the Land of the Incas 17/80


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Recent Additions (Page 17 of 80)




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

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

Concyclic Points.


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

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

Circular Segment. Index.
Theorems and Problems.


Geometry Problems 691  700.
Triangle, Quadrilateral, Circle, Metric Relations, Square, 3060120
Degrees, Area, Congruence. 

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

Geometry Problem 698.
Quadrilateral, Diagonal, Angle Bisector, Triangle, 120
Degrees. 

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

Geometry Problem 696.
Triangle, Angles, Auxiliary Construction, Congruence, Mind
Map, Polya. 

Geometry Problem 695.
Triangle, Angles, Auxiliary Construction, Congruence, Mind
Map, Polya. 

Geometry Problem 694.
Triangle, Angles, 30 Degrees, Auxiliary Construction, Mind
Map, Polya. 

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

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

Salt Lake Stadium, Kolkata, India.
Map and News. It is the second largest stadium capacity in the world.
Capacity: 120,000. Field dimensions: 105 × 68 meters. 

Geometry Problem 691.
Isosceles Triangle, 808020 Degrees, Angles, Congruence,
Mind Map, Polya. 

Geometry in the Real World, Jacksonville, Florida  Slideshow. 

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

Geometry in the Real World, Indianapolis, Indiana  Slideshow. 

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

Geometry Problem 688.
Triangle, Angles, 10, 20, 30, 40, 60 Degrees, Measure, Mind
Map, Polya. 

Geometry Problem 687.
Triangle, Three Excircles, Tangency points, Concurrent Lines. 

Geometry Problems 681  690.
Triangle, Circle, 60 Degrees, Incenter, Circumcenter, Orthocenter,
Parallelogram, Metric Relations, Congruence, Similarity. 

Geometry Problem 686.
Triangle, Three Excircles, Tangency points, Tangent lines,
Semiperimeter, Congruence. 

Math Prekindergarten skills, Interactive Mind Map. 

Geometry Problem 685
Isosceles Triangle, 1004040 Degrees, Angles, Congruence. 

Da Vinci Icosahedron and Jenn 3D tool for visualizing
Coxeter polytopes.
Jenn 3D is a free software license program for visualizing
regular polytopes in stereographic projection. 

Geometry Problem 684: Outer Nagel Point.
Triangle, Excircles, Incircle Tangency points, Concurrent
lines, Semiperimeter, Ceva theorem. 

Nagel Points Index
Triangle Center 

De
Gua's Theorem


Geometry Problem 683:
Nagel Point.
Triangle, Excircles, Tangency points, Concurrent lines, Semiperimeter, Ceva theorem. 

iPad Apps:
Autodesk 123D Sculpt, Video and News
A free 3D sculpting and painting app for iPad. Solid geometry.


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

Gergonne Points
Index
Triangle Center 

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

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

100 Geometry Problems Collection


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

Geometry Problem 678.
Triangle, Simson Line, Circumcircle, Tangent, Parallel, Perpendicular, Collinear Points. 

Geometry Problem 655.
Archimedes Book of Lemmas: Proposition 15
Circle, Inscribed Regular Pentagon, Radius. 

Orthocenter, Theorems and Problems Index.


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

Machu Picchu
Word Cloud.


Geometry in the Real World, Dallas, Texas  Slideshow. 

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

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

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

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

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

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

Geometry in Machu Picchu  Slideshow.


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

Geometry in
Barcelona, Spain  Slideshow. 

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

Beaver Stadium, USA.
Map and News. It is the fourth largest stadium capacity in the world.
Capacity: 109,901. 

Geometry in
the Taj Mahal, Agra, India  Slideshow. 

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

Geometry Problem 645.
Archimedes Book of Lemmas: Proposition 6
Semicircle, Circle, Perpendicular, Arbelos, Inscribed Circle. 

Arbelos Definition by Archimedes
Three Semicircles, Tangent,
Diameters.


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

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

Perpendicular
Bisector. 

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

Arbelos, Theorems and Problems
Three tangent semicircles with collinear
centers.
Index 

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

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

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

Geometry in
Phoenix, Arizona  Slideshow. 

Geometry Problem 638
Arbelos and Inscribed Circle: Concyclic Points. 

Geometry in
San Antonio, Texas  Slideshow. 

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

Geometry in
San Diego, California  Slideshow. 

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

Billiards and Geometry 
Index. 

Geometry Problem 622
Square with Perpendiculars, Transversal, Congruence. 

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

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

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

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

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

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

Neyland Stadium, USA.
Map and News. It is the sixth largest stadium capacity in the world.
Capacity: 109,901. 

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

Triangle
Circumcenter by Folding,
Video.
Dynamic Geometry Software:
Tabula by Numeracy Works.
StepbyStep construction, Manipulation, and animation. 

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

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

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

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

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

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

Geometry Problem
611
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
Square with Right Triangles, Metric Relations, Congruence, Measurement. 

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

Geometry Problem
606
Isosceles Triangles, Perpendicular and Parallel Lines. 

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

Geometry Problem
604
Parallelograms, Triangle, Trapezoid, Area. 

Geometry Problem
603
Parallelogram, Diagonals, Congruence, Concurrency. 

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

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

Brianchon Corollary, Circumscribed Hexagon, Concurrency lines. 

Geometry in the Real World,
Houston, Texas  Slideshow and 3D Map. 

Carnot's
Theorem in an Acute Triangle. 

Geometry in the Real World,
Miami, Florida  Slideshow. 

Carnot's
Theorem in an Obtuse Triangle. 

Open Geometry Problems  Index 

Brianchon's Theorem in a Circumscribed Hexagon. 

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

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

iPad Apps:
MindHD, Mind Map Generator, Example using Dropbox.


Adoration of the Magi by Albrecht Durer and Golden Rectangles. 

Titian or Tiziano: Venus of Urbino
(1538) and Golden Rectangles. 

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

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

The Annunciation by Leonardo and Golden Rectangles. 

Geometry Problem 597
Quadrilateral, Right Triangle, Isosceles, Angle, Congruence. 

Geometry Problem 596
Quadrilateral, Right Triangle, Isosceles, Midpoint. 

Uffizi Gallery, Florence and Golden Rectangles. 

Geometry Problem
595
Triangle, Equal Angles, Isogonal Conjugate, Similarity. 

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

Geometry Problem
593.
Triangle, Circumcircle, Collinear Points. 

Acute Angle in the Real World  Slideshow. 

Triangle Geometry in the Real World, New York  Slideshow. 

Geometry in the Real World, San Francisco  Slideshow. 

Geometry Problem 677.
Parallelogram, Midpoint, Diagonal, Metric Relations. 

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

Mathematics Mind Mapping 
Index 

Isosceles Triangle 802080  Index.
Theorems and Problems 

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

Geometry Problem 674.
Triangle, Altitude, Angles. 

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

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

Geometry Problems 661  670.
Triangle, Circle, 60 Degrees, Incenter, Circumcenter, Orthocenter, Parallelogram, Metric Relations, Congruence, Similarity. 

Geometry Problem 671.
Triangle, Cevian, Angles, Congruence. 

Geometry Problem 670.
Triangle, 60 Degrees, Orthocenter, Incenter, Circumcenter, Congruence. 

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

Madonna of the Goldfinch by Raphael and Golden Rectangles
John the Baptist offers the goldfinch to Christ in warning of his future.


Michigan Stadium, USA.
Map and News. It is the third largest stadium capacity in the world.
Capacity: 109,901. 

Dynamic Geometry Software: GeoGebra 3.2 Help Document
GeoGebra is a dynamic geometry software. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, and functions.
Interactive Mind Map. 

Perpendicular lines.
Theorems and Problems. 
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