Euclid of Alexandria (c. 325–265 BCE) is the father of geometry, whose 13-book Elements was the world's primary mathematics textbook for over 2,000 years. His axiomatic approach and works on optics and number theory laid the foundation for Western mathematics.
Euclid is born, likely in Tyre, Phoenicia, though his exact birth year is unknown. He will become the father of geometry. #history #mathematics
Euclid is believed to have studied at Plato's Academy in Athens, where he absorbed the works of Eudoxus and other mathematicians. #history #mathematics
Euclid establishes a renowned mathematics school in Alexandria, training scholars and compiling knowledge. #history #mathematics
Ptolemy I Soter invites Euclid to Alexandria, Egypt, where he establishes the mathematics school at the Library of Alexandria. #history #mathematics
In Book I of Elements, Euclid states his controversial fifth postulate, which later sparked the development of non-Euclidean geometry. #geometry #history
In Elements Book I, Proposition 47, Euclid provides one of the earliest proofs of the Pythagorean theorem. #geometry #mathematics
Euclid's Book II of Elements covers geometric algebra, including the dissection of rectangles and squares. #geometry #mathematics
Books III and IV of Elements treat circles, their properties, and the construction of regular polygons. #geometry #mathematics
Books V and VI of Elements expound Eudoxus's theory of proportion and similarity of figures. #geometry #mathematics
Books VII-IX of Elements cover number theory, including the Euclidean algorithm and the infinitude of primes. #numbertheory #mathematics
In Elements Book IX, Proposition 20, Euclid proves that there are infinitely many prime numbers. #mathematics #numbertheory
In Elements Book VII, Euclid describes an efficient algorithm for finding the greatest common divisor of two numbers. #mathematics #algorithms
Book X of Elements is a comprehensive treatment of incommensurable (irrational) magnitudes. #geometry #mathematics
Books XI-XIII of Elements cover solid geometry, culminating in the classification of the five Platonic solids. #geometry #mathematics
When Ptolemy I asks for an easier way to learn geometry, Euclid famously replies, 'There is no royal road to geometry.' #history #mathematics
Euclid finishes the 13-book Elements, which becomes the most successful mathematics textbook in history. #mathematics #history
Euclid writes the Data, a collection of geometric propositions for solving problems given certain data. #geometry #mathematics
Euclid's Optics is the earliest surviving work on perspective, explaining visual perception using geometry. #optics #science
Euclid's Catoptrics studies the reflection of light from mirrors, laying groundwork for geometric optics. #optics #physics
Euclid's Phaenomena applies geometry to astronomy, describing the rising and setting of celestial bodies. #astronomy #mathematics
Euclid writes On Divisions of Figures, a treatise on dividing geometric shapes into equal or proportional parts. #geometry #mathematics
Euclid composes Surface Loci (Περὶ τόπων), a lost work on loci on surfaces, known only from later references. #history #mathematics
Euclid writes Porisms (Περὶ πορισμάτων), a lost collection of geometric propositions on porisms, cited by Pappus. #history #mathematics
Euclid writes a treatise on conic sections (Conics), later built upon by Apollonius. #geometry #mathematics
Euclid dies, likely in Alexandria, leaving a legacy as the father of geometry. #history #mathematics
Greek mathematician Hypsicles writes Book XIV of Elements, on regular polyhedra, later appended to Euclid's work. #geometry #history
Theon of Alexandria produces an influential edition of Elements with commentary, the basis for many later versions. #history #mathematics
The first Arabic translation of Elements is made by al-Hajjaj ibn Matar, preserving the work through the Islamic Golden Age. #history #mathematics
Thābit ibn Qurra produces a critical revision of the Arabic Elements, improving its accuracy. #mathematics #history
Adelard of Bath makes the first Latin translation of Elements from Arabic, reintroducing Euclid to medieval Europe. #history #mathematics
Erhard Ratdolt prints the first edition of Elements in Venice, using Latin from the Arabic translation. #history #mathematics
Bartolomeo Zamberti produces the first Latin translation directly from Greek manuscripts. #history #mathematics
Simon Grynaeus edits the first printed Greek edition of Elements, published by the Aldine Press. #history #mathematics
Henry Billingsley publishes the first complete English translation of Elements, with a preface by John Dee. #history #mathematics
Matteo Ricci and Xu Guangqi translate parts of Elements into Chinese, introducing Euclidean geometry to East Asia. #history #mathematics
John Wallis's lectures on Euclid help shape Isaac Newton's mathematical approach in the Principia. #history #mathematics
Lobachevsky, Bolyai, and Gauss independently develop non-Euclidean geometry, proving the parallel postulate is not necessary. #geometry #history
Eugenio Beltrami provides a model proving that non-Euclidean geometry is as consistent as Euclidean geometry. #mathematics #geometry
Johan Ludvig Heiberg publishes a critical edition of Euclid's works based on Greek manuscripts, the standard for modern scholarship. #history #mathematics
David Hilbert's Grundlagen der Geometrie presents a complete axiomatization of Euclidean geometry, inspired by Euclid. #geometry #mathematics