If you enjoy thinking about that, book VII of Euclid would be right up your alley: https://mathcs.clarku.edu/~djoyce/java/elements/bookVII/bookVII.html https://

If you enjoy thinking about that, book VII of Euclid would be right up your alley: https://mathcs.clarku.edu/~djoyce/java/elements/bookVII/bookVII.html https://mathcs.clarku.edu/~djoyce/java/elements/bookVII/book... The algorithm you describe is VII Proposition 1.