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  2. Geometry - Wikipedia

    en.wikipedia.org/wiki/Geometry

    Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]

  3. Greek mathematics - Wikipedia

    en.wikipedia.org/wiki/Greek_mathematics

    [1] [2] Greek mathematicians lived in cities spread over the entire region, from Anatolia to Italy and North Africa, but were united by Greek culture and the Greek language. [3] The development of mathematics as a theoretical discipline and the use of deductive reasoning in proofs is an important difference between Greek mathematics and those ...

  4. History of geometry - Wikipedia

    en.wikipedia.org/wiki/History_of_geometry

    Geometry (from the Ancient Greek: γεωμετρία; geo-"earth", -metron "measurement") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers . Classic geometry was focused in compass and straightedge constructions.

  5. Theodosius' Spherics - Wikipedia

    en.wikipedia.org/wiki/Theodosius'_Spherics

    It has been speculated that this tradition of Greek "spherics" – founded in the axiomatic system and using the methods of proof of solid geometry exemplified by Euclid's Elements but extended with additional definitions relevant to the sphere – may have originated in a now-unknown work by Eudoxus, who probably established a two-sphere model ...

  6. 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 ( theorems ) from these.

  7. Autolycus of Pitane - Wikipedia

    en.wikipedia.org/wiki/Autolycus_of_Pitane

    Autolycus of Pitane (Greek: Αὐτόλυκος ὁ Πιταναῖος; c. 360 – c. 290 BC) was a Greek astronomer, mathematician, and geographer. He is known today for his two surviving works On the Moving Sphere and On Risings and Settings, both about spherical geometry.

  8. Hippocrates of Chios - Wikipedia

    en.wikipedia.org/wiki/Hippocrates_of_Chios

    The major accomplishment of Hippocrates is that he was the first to write a systematically organized geometry textbook, called Elements (Στοιχεῖα, Stoicheia), that is, basic theorems, or building blocks of mathematical theory. From then on, mathematicians from all over the ancient world could, at least in principle, build on a common ...

  9. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    Hutton's definitions in 1795 [4]. The ancient Greek mathematician Euclid defined five types of quadrilateral, of which four had two sets of parallel sides (known in English as square, rectangle, rhombus and rhomboid) and the last did not have two sets of parallel sides – a τραπέζια (trapezia [5] literally 'table', itself from τετράς (tetrás) 'four' + πέζα (péza) 'foot ...