If two triangles have the two sides equal to two sides respectively, and have also the base equal to the base, they will also have the angles equal which are contained by the equal straight lines.
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Euclid's Elements Book I, Proposition 8
Monday, February 22, 2010
Euclid's Elements Book I, Proposition 8: (Side-Side-Side SSS Congruence)
Euclid's Elements Book I, Proposition 7
Given two straight lines constructed on a straight line (from its extremities) and meeting in a point, there cannot be constructed on the same straight line (from its extremities), and on the same side of it, two other straight lines meeting in another point and equal to the former two respectively, namely each to that has the same extremity with it.
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Euclid's Elements Book I, Proposition 7
Sunday, February 21, 2010
Problem 428: Quadrant of a circle, Square, Angle bisector, Measurement
Proposed Problem
Click the figure below to see the complete problem 428 about Quadrant of a circle, Square, Angle bisector, Measurement.
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Complete Problem 428
Level: High School, SAT Prep, College geometry
Saturday, February 20, 2010
Problem 427: Triangle, Two Altitudes, Square of a Side
Proposed Problem
Click the figure below to see the complete problem 427 about Triangle, Two Altitudes, Square of a Side.
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Complete Problem 427
Level: High School, SAT Prep, College geometry
Friday, February 19, 2010
Euclid's Elements Book I, Proposition 6
If in a triangle two angles be equal to one another, the sides which subtend the equal angles will also be equal to one another.
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Euclid's Elements Book I, Proposition 6
Euclid's Elements Book I, Proposition 5: (Pons Asinorum)
In isosceles triangles the angles at the base are equal to one another, and, if the equal straight lines are produced further, then the angles under the base will be equal to one another.
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Euclid's Elements Book I, Proposition 5
Thursday, February 18, 2010
Kaleidoscope based on Silents, 1988, 1966, 1998 by Roy Newell
Kaleidoscope
Exhibition: 'The Private Myth', Carolina Nitsch Project Room
This exhibition will introduce many people to the vehement, transcendent geometry of Roy Newell.
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Kaleidoscope based on Silents, 1988, 1966, 1998 by Roy Newell
Wednesday, February 17, 2010
The World's Most Innovative Companies 2010, Interactive Mind Map
Most Innovative Companies for 2010 ranked by Fast Company magazine.
Graphic organizers are visual representations of knowledge, concepts or ideas.
Click the figure below to see the Interactive Mind Map.
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The World's Most Innovative Companies 2010
Monday, February 15, 2010
Problem 426: Triangle, Circumradius, Circumcenter, concurrent Cevians
Proposed Problem
Click the figure below to see the complete problem 426 about Triangle, Circumradius, Circumcenter, concurrent Cevians.
See also:
Complete Problem 426
Level: High School, SAT Prep, College geometry
Friday, February 12, 2010
Geometry Problem 425: Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence
Proposed Problem
Click the figure below to see the complete problem 425 about Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence.
See also:
Complete Problem 425
Level: High School, SAT Prep, College geometry
Tuesday, February 9, 2010
Problem 424: Triangle, Cevian, Angle, 90 degree, Congruence
Proposed Problem
Click the figure below to see the complete problem 424 about Triangle, Cevian, Angle, 90 degree, Congruence.
See also:
Complete Problem 424
Level: High School, SAT Prep, College geometry
Sunday, February 7, 2010
Euclid's Elements Book I, Proposition 4: SAS
If two triangles have two sides equal to two sides respectively, and have the angles contained by the equal sides also equal, then the two triangles are congruent
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Euclid's Elements Book I, Proposition 4
Friday, February 5, 2010
Euclid's Elements Book I, Proposition 3
Given two unequal straight lines, to cut off from the greater a straight line equal to the less
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Euclid's Elements Book I, Proposition 3
Euclid's Elements Book I, Proposition 2
To place at a given point (as an extremity) a straight line equal to a given straight line
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Euclid's Elements Book I, Proposition 2
Thursday, February 4, 2010
Euclid's Elements Book I, Proposition 1
On a given finite line to construct an equilateral triangle
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Euclid's Elements Book I, Proposition 1
Wednesday, February 3, 2010
Problem 423: Triangle, 30, 40 degree, Angle, Congruence
Proposed Problem
Click the figure below to see the complete problem 423 about Triangle, 30, 40 degree, Angle, Congruence.
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Level: High School, SAT Prep, College geometry