
Parallel Lines, Page 5




The Pythagorean Curiosity
Triangles and squares, fifteen conclusions.
Parallel lines.


Triangle
and Squares Theorem 1: with Interactive Geometry Software
StepbyStep construction, Manipulation, and animation.
Parallel lines. 

Proposed Problem 98.
Quadrilateral Area, Centroid, Similarity.
Parallel lines. 

Proposed
Problem 97. Similar Triangles,
Areas, Parallel lines. 

Proposed Problem 96. Similar
Triangles, Incenters, Parallelogram,
Parallel lines. 

Proposed Problem 95. Similar
Triangles, Inradii, Parallel lines. 

Proposed Problem 94. Similar
Triangles, Circumcircles, Circumradii,
Parallel lines. 

Proposed Problem 93. Similar
Triangles, Circumcircles, Parallelogram,
Parallel lines. 

Proposed Problem 92. Similar
Triangles, Circumcircles, Circumradii, Parallel,
Parallel lines. 

Proposed Problem 91. Similar
Triangles, Altitude, Parallel lines. 

Taylor Circle Theorem Using TracenPoche Dynamic Software
StepbyStep construction, Manipulation, and animation,
Parallel lines.
Henry Martyn Taylor and the blind student of mathematics


Proposed Problem 78: Angles of a Circle.
Perpendicular and parallel lines, Midpoint, Diameter, Chord, Cyclic
quadrilateral, Congruence.


Proposed Problem 77: Angles of a Circle.
Parallel lines, Cyclic quadrilateral.


Proposed
Problem 76: Area of a Circle.
Square, Circle, Circular Sector,
Parallel lines.


Interactive Orthopole of
a Triangle: Using TracenPoche Dynamic
Geometry Software, Online
StepbyStep construction, manipulation, and animation,
Parallel lines. 

Proposed Problem 72: Intersecting Circles.
Cyclic quadrilateral, Chords,
Parallel lines.


Proposed Problem 70: Squares inscribed in a triangle, Similarity.
Parallel lines.


Proposed Problem 69: Square inscribed in a triangle, Similarity.
Parallel lines.


Proposed Problem 62: Square
Diagonal, Inscribed Circle, Parallel
lines. 

Sangaku
Geometry Theorem: Cyclic Quadrilateral.
Inradii, Rectangle, Parallel lines. 

Interactive Hinged tessellation. Square tessellation  Dynamic Geometry.
Please be patient while the applet loads on your computer. This Java
applet requires Java 1.3 or higher.
Parallel lines. 

Triangle and Squares 22
Parallel lines. 

Triangle and Squares
20
Parallel lines. 

News: Infants Are
Able To Detect The 'Impossible' At An Early Age


Proposed Problem 49.
Angles and right triangle, Parallel lines.


Triangle and Squares
17, Parallel lines.


Problem 39.
Triangle, Incircle, Bisector, Cyclic Quadrilateral and angles,
Parallel lines. 

Proposed Problem 29.
Right Triangle, altitude, incircle and inradius,
Parallel lines. Ten conclusions. 

Heron's Formula with medians
Parallel lines. 

Proposed Problem 27
Right Triangle, incircles and inradius,
Parallel lines. 

Eyeball Theorem:
Animated Angle to Geometry Study.
Parallel lines. 

Proposed problem
20
Right Triangle, Parallel lines,
incircles and inradii. 

Parallelogram with Squares theorem Thébault's Theorem.


Kurschak's Tile and Theorem.
Jozsef Kurschak (Hungary, 18641933) An elegant and a purely geometric
way of finding the area of a regular dodecagon.


Varignon and Wittenbauer parallelograms. Quadrilateral: midpoints and
trisection points of the edges,
Parallel lines.


Euclid's Elements
Book I, 23 Definitions. Onepage visual illustration.
Euclid's Elements Book.
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