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Euclid (flourished c. 300 bce, Alexandria, Egypt) was the most prominent mathematician of Greco-Roman antiquity, best known for his treatise on geometry, the Elements.
History of geometry. The earliest known unambiguous examples of written records—dating from Egypt and Mesopotamia about 3100 bce —demonstrate that ancient peoples had already begun to devise mathematical rules and techniques useful for surveying land areas, constructing buildings, and measuring storage containers.
Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the ancient Greek mathematician Euclid. The term refers to the plane and solid geometry commonly taught in secondary school.
Geometry - Ancient, Abstract, Applied: In addition to proving mathematical theorems, ancient mathematicians constructed various geometrical objects. Euclid arbitrarily restricted the tools of construction to a straightedge (an unmarked ruler) and a compass.
Euclidean geometry, the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid (c. 300 bce). In its rough outline, Euclidean geometry is the plane and solid geometry commonly taught in secondary schools.
Euclid was an ancient Greek mathematician. He is best known for his work with geometry. Euclid lived long ago in Alexandria, Egypt. At the time, Alexandria was a young city. Alexander the Great had conquered ancient Egypt and founded Alexandria in about 332 bce.
Non-Euclidean geometry, literally any geometry that is not the same as Euclidean geometry. Although the term is frequently used to refer only to hyperbolic geometry, common usage includes those few geometries (hyperbolic and spherical) that differ from but are very close to Euclidean geometry.
Geometry The geometric problems in the papyri seek measurements of figures, like rectangles and triangles of given base and height, by means of suitable arithmetic operations. In a more complicated problem, a rectangle is sought whose area is 12 and whose height is 1/2 + 1/4 times its base (Golenishchev papyrus, problem 6).
Independently of Descartes, Fermat discovered the fundamental principle of analytic geometry. His methods for finding tangents to curves and their maximum and minimum points led him to be regarded as the inventor of the differential calculus .
Elementary analytic geometry. Apollonius of Perga (c. 262–190 bc), known by his contemporaries as the “Great Geometer,” foreshadowed the development of analytic geometry by more than 1,800 years with his book Conics. He defined a conic as the intersection of a cone and a plane (see figure).