Synthetic geometry

Synthetic geometry is a branch of geometry that focuses on geometric properties and relationships using axioms and logical reasoning, rather than relying on coordinates or algebra. It studies figures like points, lines, and circles through direct constructions and proofs, emphasizing how these elements interact in space. This approach originated with ancient mathematicians like Euclid and is foundational for understanding the basics of geometric principles without the complexities of measurement or numerical calculations. Synthetic geometry helps develop clear reasoning and problem-solving skills, making it a core aspect of mathematical education.