2. On a given line segment describe a compass/straight edge construction of a perpendicular bisector. Then provide a proof that your construction is valid by using properties of congruent triangles.
2. On a given line segment describe a compass/straight edge construction of a perpendicular bisector. Then provide a proof that your construction is valid by using properties of congruent triangles.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Required Additional Exercises
Read and study Euclid's constructions of: an equilateral triangle, the bisection of an angle, the
bisection of a straight line segment, and the construction of a perpendicular thru a given point.
They all may be found in the article http://mypages.iit.edu/~maslanka/24Prop.pdf
Then solve the following two construction problems in the style of Euclid.
1. At a given point on a given line describe a compass/straight edge construction of an angle
equal to a given angle.
Also, provide a proof that your construction is valid by using properties of congruent
triangles.
2. On a given line segment describe a compass/straight edge construction of a perpendicular
bisector.
Then provide a proof that your construction is valid by using properties of congruent
triangles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F174d6aef-4192-428a-8995-96c9007ff6b3%2F9040747f-fc86-4d95-bc5c-bc5c40be0d6c%2Fnpsg6u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Required Additional Exercises
Read and study Euclid's constructions of: an equilateral triangle, the bisection of an angle, the
bisection of a straight line segment, and the construction of a perpendicular thru a given point.
They all may be found in the article http://mypages.iit.edu/~maslanka/24Prop.pdf
Then solve the following two construction problems in the style of Euclid.
1. At a given point on a given line describe a compass/straight edge construction of an angle
equal to a given angle.
Also, provide a proof that your construction is valid by using properties of congruent
triangles.
2. On a given line segment describe a compass/straight edge construction of a perpendicular
bisector.
Then provide a proof that your construction is valid by using properties of congruent
triangles.
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