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Partitioning Pythagorean Triangles Using Pythagorean Angles
The College Mathematics Journal, 2012SummaryInside any Pythagorean right triangle, it is possible to find a point M so that drawing segments from M to each vertex of the triangle yields angles whose sines and cosines are all rational. This article describes an algorithm that generates an infinite number of such points.
Carl Swenson, André Yandl
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2018
Pythagoreanism refers to a Greek religious-philosophical movement that originated with Pythagoras in the sixth century bc. Although Pythagoreanism in its historical development embraced a wide range of interests in politics, mysticism, music, mathematics and astronomy, the common denominator remained a general adherence among Pythagoreans to the name ...
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Pythagoreanism refers to a Greek religious-philosophical movement that originated with Pythagoras in the sixth century bc. Although Pythagoreanism in its historical development embraced a wide range of interests in politics, mysticism, music, mathematics and astronomy, the common denominator remained a general adherence among Pythagoreans to the name ...
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The Mathematics Teacher, 1986
If a class of students completing a course in plane geometry is asked to cite a few examples of primitive Pythagorean triples (those whose greatest common divisor is 1), their answers can be assumed to be 3, 4, 5; 5, 12, 13; 8. 15, 17: and 7, 24, 25.
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If a class of students completing a course in plane geometry is asked to cite a few examples of primitive Pythagorean triples (those whose greatest common divisor is 1), their answers can be assumed to be 3, 4, 5; 5, 12, 13; 8. 15, 17: and 7, 24, 25.
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The Mathematics Teacher, 1974
This article shows a simple method for finding the sets of integers that are the measures of sides of right triangles. It provides a method for the geometry teacher or students to generate right triangles.
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This article shows a simple method for finding the sets of integers that are the measures of sides of right triangles. It provides a method for the geometry teacher or students to generate right triangles.
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Pythagoreanism, meaning and the appeal to number
New Ideas in Psychology, 2006Henderikus J Stam
exaly
Gabriele Cornelli, Richard McKirahan, and Constantinos Macris (eds.), On Pythagoreanism
Rhizomata, 2016Gabriele Cornelli
exaly