Who is known as the father of geometry?

Euclid is referred to as the "father of geometry" primarily due to his significant contributions to the field in his seminal work, "Elements." This text compiles and organizes existing knowledge of geometry and mathematical proofs up to that time, presenting them in a systematic way. Euclid's approach established the foundation for what is now known as Euclidean geometry, which remains a cornerstone of mathematics.

His logical structure, which utilizes axioms and postulates to derive further theorems, has influenced not only mathematics but also the way that formal proofs are constructed in various fields. The organization of geometry as a deductive system in "Elements" has shaped both education and the formal study of mathematics for centuries.

In contrast, while other figures like Pythagoras, Archimedes, and Newton made significant contributions to mathematics and science, their primary focus was not specifically on the systematic study and development of geometry as Euclid's was. Pythagoras is best known for the Pythagorean theorem related to right triangles, Archimedes is celebrated for his work in calculus and the principle of buoyancy, and Newton is famously known for his laws of motion and the development of calculus alongside Leibniz. Each of these figures played pivotal roles