Fundamental work on the parabola, ellipse, and hyperbola.

The volume is particularly prized for making complex ancient proofs accessible through facing-page English translations of the original Greek.

Documentation of early number theory and the identification of prime numbers.

Conic sections and the measurement of the circle.

While Volume I deals heavily with the foundations of geometry and Pythagorean thought, Volume II moves into:

Calculating the sizes and distances of the sun and moon.