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Outline
Introduction to Euclidean Constructions
Proposition 1: To construct an equilateral triangle on a given finite straight line.
Proposition 2: To place a straight line equal to a given straight line with one end at a given point.
Proposition 3: To cut off from the greater of two given unequal straight lines a straight line equal to the less.
Proposition 9: To bisect a given rectilinear angle.
Proposition 10: To bisect a given finite straight line.
Proposition 11: To draw a straight line at right angles to a given straight line from a given point on it.
Proposition 12: To draw a straight line perpendicular to a given infinite straight line from a given point not on it.
Proposition 46: To describe a square on a given straight line.
Challenge! Given a segment of length 1 unit, construct a segment of length square root 2 units
Introduction to Euclidean Constructions
Author:
Trent Burchard
Topic:
Constructions
Proposition 1: To construct an equilateral triangle on a given finite straight line.
Proposition 2: To place a straight line equal to a given straight line with one end at a given point.
Proposition 3: To cut off from the greater of two given unequal straight lines a straight line equal to the less.
Proposition 9: To bisect a given rectilinear angle.
Proposition 10: To bisect a given finite straight line.
Proposition 11: To draw a straight line at right angles to a given straight line from a given point on it.
Proposition 12: To draw a straight line perpendicular to a given infinite straight line from a given point not on it.
Proposition 46: To describe a square on a given straight line.
Challenge! Given a segment of length 1 unit, construct a segment of length square root 2 units
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Proposition 1: To construct an equilateral triangle on a given finite straight line.
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