Geometry from the Land of the Incas 17/80

Geometry, Machu Picchu

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Recent Additions (Page 17 of 80)

Tangent Circles

Triangle, Incircle, Diameter

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

Trianglr, Circumcicle, Concyclic

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

Concyclic Points

Concyclic Points.
 

Intersecting Circles, Diameter, Perpendicular

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

Equilateral triangle, Circle

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

Circular Segment Index

Circular Segment. Index.
Theorems and Problems. 

Geometry problems 691-700

Geometry Problems 691 - 700.
Triangle, Quadrilateral, Circle, Metric Relations, Square, 30-60-120 Degrees, Area, Congruence.

Equilateral triangle, Circle

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

Quadrilateral, 120 degrees, Angles

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

Square, Circle, Area

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

Circle, Square, Area

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

Circle, Square, Area

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

Circle, Square, Area

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

Circle, Square, Area

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

Quatrefoil, Circle, Square, Area

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

Hull Rust Mine

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.

Isosceles triangle 80, 20, 20 degrees

Geometry Problem 691.
Isosceles Triangle, 80-80-20 Degrees, Angles, Congruence, Mind Map, Polya
.

Geometry in Jacksonville, Florida Slideshow

Geometry in the Real World, Jacksonville, Florida - Slideshow.

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.

Geometry in Indianapolis, Indiana Slideshow

Geometry in the Real World, Indianapolis, Indiana - Slideshow.

Triangle, Excircles, Tangent, Concurrency

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

Geometry Problem 688, Triangle, 60 Degrees, Mind Map

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

Triangle, Excircles, COncurrency

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

Geometry problems 681-690

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

Triangle, Excircles, Tangent

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

Geometry childre, pre-kindergarten, mind map

Math Pre-kindergarten skills, Interactive Mind Map.

Isosceles triangl 100-40-40 degrees

Geometry Problem 685
Isosceles Triangle, 100-40-40 Degrees, Angles, Congruence.

Da Vinci Icosahedron, Jenn3D

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.

Outer Nagel Point

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

Nagel Point Theorems and Problems Index

Nagel Points Index
Triangle Center

De Gua's Theorem

Nagel Point

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

iPad Apps Autodesk 123D

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

Gergonne Point Theorem

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

Gergonne Point Theorems and Problems Index

Gergonne Points Index
Triangle Center

Gergonne Point Theorem

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

Concentric Circles

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

Online education degree: geometry problems

100 Geometry Problems Collection

Triangle, Circle, Median, Proportion

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

Simson Line, Parallel

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

Archimedes Book of Lemmas Proposition 15

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

Orthocenter

Orthocenter, Theorems and Problems Index.

Archimedes Book of Lemmas Proposition 14

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

Machu Picchu Word Cloud

Machu Picchu Word Cloud.

Geometry in Dallas, Texas, Slideshow

Geometry in the Real World, Dallas, Texas - Slideshow.

Archimedes Book of Lemmas Proposition 13

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

Archimedes Book of Lemmas Proposition 12

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

Archimedes Book of Lemmas Proposition 11

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

Tangent Circles

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

Archimedes Book of Lemmas Proposition 10

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

Archimedes Book of Lemmas Proposition 9

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

Geometry in Machu Picchu, Slideshow

Geometry in Machu Picchu - Slideshow.

Tangent Circles

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

Geometry in Barcelona, Slideshow

Geometry in Barcelona, Spain - Slideshow.

Archimedes Book of Lemmas Proposition 8

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

Beaver Stadium 

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

Geometry in the Taj Mahal, Slideshow

Geometry in the Taj Mahal, Agra, India - Slideshow.

Archimedes Book of Lemmas Proposition 7

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

Archimedes Book of Lemmas Proposition 6

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

Archimedes Book of Lemmas Proposition 4

Arbelos Definition by Archimedes
Three Semicircles, Tangent, Diameters.

Archimedes Book of Lemmas Proposition 5

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

Archimedes Book of Lemmas Proposition 4

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

Perpendicular Bisector Index

Perpendicular Bisector.

Archimedes Book of Lemmas Proposition 3

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

Arbelos, Theorems and Problems Index

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

Archimedes Book of Lemmas Proposition 2

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

Archimedes Book of Lemmas Proposition 1

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

Semicircle, Perpendicular, Inscribed Circle, Tangent, Congruence

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

Geometry in Phoenix, Arizona, Slideshow

Geometry in Phoenix, Arizona - Slideshow.

Arbelos, Circle, Concyclic Points

Geometry Problem 638
Arbelos and Inscribed Circle: Concyclic Points.

Geometry in San Antonio, Texas, Slideshow

Geometry in San Antonio, Texas - Slideshow.

Semicircle, Perpendicular, Inscribed Circle, Tangent, Chord

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

Geometry in San Diego, California, Slideshow

Geometry in San Diego, California - Slideshow.

Semicircle, Perpendicular, Inscribed Circle, Tangent

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

Billiards and Geometry Index

Billiards and Geometry - Index.

Intersecting Circles

Geometry Problem 622
Square with Perpendiculars, Transversal, Congruence.

Two Parallelograms, Center, Parallel

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

Three Rectangles, Centers, Angles

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

Triangle Area, 30 Degrees, Incircle

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

Triangle area, 60 degrees

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

Right triangle area

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

Parallelogram, Diagonal, Parallel

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

Neyland Stadium 

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

Incenter by Folding

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

Circumcenter by Folding

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

Triangle, Square, Area

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

Orthocenter by Folding

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

Centroid by Folding

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

Parallelogram, Diagonal, Parallel

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

Triangle, Altitude, Collinearity

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

Triangle, Altitude, Congruence

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

Triangle, Altitude, Collinearity

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

Intersecting Circles, 90 degrees

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

Triangle, Perpendiculars, Collinearity

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

Square with Right triangles

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

Intersecting Circles

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

Isosceles triangle

Geometry Problem 606
Isosceles Triangles, Perpendicular and Parallel Lines.

Square, Circle, Metric Relation

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

Parallelogram Area

Geometry Problem 604
Parallelograms, Triangle, Trapezoid, Area.

Parallelogram, Diagonals

Geometry Problem 603
Parallelogram, Diagonals, Congruence, Concurrency.

Triangle, Angle, Congruence

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

Cyclic quadrilateral, Incenter, Excenter

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

Brianchon Corollary

Brianchon Corollary, Circumscribed Hexagon, Concurrency lines.

Geometry in Houston

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

Carnot's Theorem, Acute Triangle

Carnot's Theorem in an Acute Triangle.

Geometry in Miami

Geometry in the Real World, Miami, Florida - Slideshow.

Carnot's Theorem, Obtuse Triangle

Carnot's Theorem in an Obtuse Triangle.

Online education degree: Open geometry problems

Open Geometry Problems - Index

Brianchon Theorem

Brianchon's Theorem in a Circumscribed Hexagon.

Circle Area, Tangent

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

Regular Hexagon, Square, Midpoint, Angle, Degrees

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

iPad Apps: MindHD

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

Durer: Adoration of the Magi

Adoration of the Magi by Albrecht Durer and Golden Rectangles.

Tiziano: Venus of Urbino

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

Regular Hexagon, Square, Midpoint, Angle, Degrees

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

Trapezoid, Perpendicular, Metric Relation

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

The Annunciation by Leonardo

The Annunciation by Leonardo and Golden Rectangles.

Quadrilateral, 90 degrees, congruence

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

Quadrilateral, 90 degrees, congruence

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

Uffizi Gallery, Florence

Uffizi Gallery, Florence and Golden Rectangles.

Triangle, equal angles, metric relations

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

Triangle, Incircle, Altitude, Incenter, Angle

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

Triangle, Circumcircle

Geometry Problem 593.
Triangle, Circumcircle, Collinear Points.

Acute Angle, Slideshow

Acute Angle in the Real World - Slideshow.

Triangle Geometry, New York, Slideshow

Triangle Geometry in the Real World, New York - Slideshow.

Geometry in San Fracisco, Slideshow

Geometry in the Real World, San Francisco - Slideshow.

Parallelogram, Midpoint, Diagonal

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

Circles, Diameter, Tangent, Metric Relations

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

Math Mind Maps Collection

Mathematics Mind Mapping - Index

Isosceles triangle 80-20-80

Isosceles Triangle 80-20-80 - Index.
Theorems and Problems

Collinear points, Intersecting circles

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

Triangle, Altitude, Angles

Geometry Problem 674.
Triangle, Altitude, Angles.

Tangent Circles, Chord, Metric Relations

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

Tangent Circles, Geometric Mean

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

Geometry problems 661-670

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

Geometry problem: Triangle, Angles, Congruence

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

Triangle, 60 Degrees

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

Triangle, Circumcircle, Incenter

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

Madonna of the Goldfinch by Raphael

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

Michigan Stadium

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

GeoGebra Help Mind Map

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 Index

Perpendicular lines.
Theorems and Problems.

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