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Mathographics by Robert Dixon is a lovely book, containing all sorts of drawings created with compass and straightedge (and some computer stuff at the back)
store.doverpublications.com/04

Everyone knows you can't trisect an arbitrary angle with just a compass.
Underwood Dudley wrote the famous essay "What To Do When The Trisector Comes" to help you fend off those who insist otherwise.
read.somethingorotherwhatever.