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  2. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these.

  3. File:Euclid-Elements.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Euclid-Elements.pdf

    Euclid's Elements (Ancient Greek) Compiled for anyone who would want to read the Euclid's work in Greek, especially in order to provide them a printer-friendly copy of the work. No hyperlink for Definitions, Postulates, Common Notions, Propositions, Corollaries, or Lemmas. Only the text and diagrams.

  4. List of geometers - Wikipedia

    en.wikipedia.org/wiki/List_of_geometers

    Autolycus of Pitane (360–c. 290 BC) – astronomy, spherical geometry; Euclid (fl. 300 BC) – Elements, Euclidean geometry (sometimes called the "father of geometry") Apollonius of Perga (c. 262 BC – c. 190 BC) – Euclidean geometry, conic sections; Archimedes (c. 287 BC – c. 212 BC) – Euclidean geometry

  5. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.

  6. Euclid's Elements - Wikipedia

    en.wikipedia.org/wiki/Euclid's_Elements

    Euclid's axiomatic approach and constructive methods were widely influential. Many of Euclid's propositions were constructive, demonstrating the existence of some figure by detailing the steps he used to construct the object using a compass and straightedge. His constructive approach appears even in his geometry's postulates, as the first and ...

  7. Euclid and His Modern Rivals - Wikipedia

    en.wikipedia.org/wiki/Euclid_and_his_Modern_Rivals

    Euclid and His Modern Rivals is a mathematical book published in 1879 by the English mathematician Charles Lutwidge Dodgson (1832–1898), better known under his literary pseudonym "Lewis Carroll". It considers the pedagogic merit of thirteen contemporary geometry textbooks , demonstrating how each in turn is either inferior to or functionally ...

  8. Foundations of geometry - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_geometry

    Based on ancient Greek methods, an axiomatic system is a formal description of a way to establish the mathematical truth that flows from a fixed set of assumptions. Although applicable to any area of mathematics, geometry is the branch of elementary mathematics in which this method has most extensively been successfully applied.

  9. Euclidean planes in three-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Euclidean_planes_in_three...

    Euclid set forth the first great landmark of mathematical thought, an axiomatic treatment of geometry. [2] He selected a small core of undefined terms (called common notions ) and postulates (or axioms ) which he then used to prove various geometrical statements.

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