Euclid

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the basis for most geometrical teachings for the past 2000 years. His works supercede all other works of its kind. ’s interests in spatial knowledge lead him to detailed definitions, postulates, and axioms that are used today. Data is a collection of given measurements and postulates that collected. Data expresses that lines, angles, and ratios can be given in magnitude; rectilinear figures may be given in species or form; and points and lines may be given in position. ’s 94 propositions state that when certain aspects of a figure are given, other aspects can be found by using concrete formulas. For example, proposition 66 states, “If a triangle have one angle given, the area of the rectangle contained by the sides including the angle has to the area of that triangle a given ratio.” Divisions of Figures consists of 36 propositions concerning the divisions of various figures into two or more equal parts in given ratios. Optics is an elaboration on Platonic thought stating ...

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