please solve all questions ?? ?euclidean geometry Exercise 1. Which proposition of the Elements implies that theangle 60° is constructible?Exercise 2. Which proposition, if any, of the Elements impliesthat every angle can be bisected? Which proposition, if any,implies that every angle can be trisected?Exercise 3. Prove that if is constructible, then so are 0/2 and20. What about 8/3 and 30?Exercise 4. Is it true that if the regular n-gon is constructible,then so is the regular 2n-gon?Exercise 5. Which regular n-gons are constructible according toBook I of Euclid's Elements?Exercise 6. Prove that the angle 15° is constructible.

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Exercise 1. Which proposition of the Elements implies that the angle 60° is constructible?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.1: Congruent Triangles

Problem 20E: In Exercises 19 and 20, the triangles to be proved congruent have been redrawn separately. Congruent...

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please solve all questions ?? ? euclidean geometry

Exercise 1. Which proposition of the Elements implies that the
angle 60° is constructible?
Exercise 2. Which proposition, if any, of the Elements implies
that every angle can be bisected? Which proposition, if any,
implies that every angle can be trisected?
Exercise 3. Prove that if is constructible, then so are 0/2 and
20. What about 8/3 and 30?
Exercise 4. Is it true that if the regular n-gon is constructible,
then so is the regular 2n-gon?
Exercise 5. Which regular n-gons are constructible according to
Book I of Euclid's Elements?
Exercise 6. Prove that the angle 15° is constructible.

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