2. (a) Prove that if constructions are given for a regular p-gon and a regular q-gon, where p and q are relatively prime, then a regular pq-gon can be constructed. Outline the construction. (b) Construct with a straightedge and compass a regular 15-gon, using the constructions of regular triangle and regular pentagon given in the Elements.

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2.
(a) Prove that if constructions are given for a regular p-gon and a regular q-gon, where p and q are
relatively prime, then a regular pq-gon can be constructed. Outline the construction.
(b) Construct with a straightedge and compass a regular 15-gon, using the constructions of regular
triangle and regular pentagon given in the Elements.
Transcribed Image Text:2. (a) Prove that if constructions are given for a regular p-gon and a regular q-gon, where p and q are relatively prime, then a regular pq-gon can be constructed. Outline the construction. (b) Construct with a straightedge and compass a regular 15-gon, using the constructions of regular triangle and regular pentagon given in the Elements.
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