Knowra Greek mathematics Greek mathematics Greek mathematics was the body of mathematical knowledge and practice developed in the ancient Greek-speaking world, from the archaic period through late antiquity. It became distinctive for systematic proof, deductive organization, and the study of abstract mathematical objects.
Euclidean geometry : The geometry of points, lines, planes, and solids organized around Euclid’s axioms and propositions. Its axiomatic presentation became the clearest model of Greek deductive mathematics.
Euclid : An ancient Greek mathematician traditionally dated to around 300 BCE, known for the Elements. His Elements organized geometry and arithmetic into a long-lasting deductive system.
Euclid's Elements : A thirteen-book Greek mathematical treatise presenting geometry and number theory through definitions, postulates, and propositions. It exemplifies the tradition’s chain of definitions, axioms, and demonstrated theorems.
Greek astronomy : The study of celestial motions developed by ancient Greek astronomers using observation and mathematical models. Astronomical prediction motivated geometry, numerical tables, and spherical mathematics.
Pappus of Alexandria : A Greek mathematician of late antiquity whose Collection preserved and discussed earlier mathematical works. His commentary transmitted methods and results from the classical Greek tradition.
Pythagorean theorem : A theorem stating that a right triangle’s hypotenuse squared equals the sum of its legs squared. Its proof and geometric consequences became central to Greek number and shape studies.
Archimedes : A Greek mathematician and engineer of the third century BCE who studied geometry, mechanics, and hydrostatics. His proofs and measurement techniques reached exceptional precision within ancient mathematics.
Method of exhaustion : A proof technique that bounds a quantity by inscribed or circumscribed figures whose areas approach it. It enabled rigorous area and volume results that anticipated integral methods.
Trigonometry : The study of relationships between angles and lengths, especially in triangles. Greek astronomy fostered early tables and methods for relating arcs, chords, and angles.
Byzantine mathematics : Mathematical learning and practice in the Byzantine Empire, including the preservation and study of Greek texts. Byzantine scholars copied and taught Greek mathematical works across late antiquity and the Middle Ages.
Show all 30