Answer: A path through space
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Line is defined as a ______________________
Line definition is - a length of cord or cord-like material: such as. How to use line in a sentence.
Wed Feb 12 2020 · Line definition a mark or stroke long in proportion to its breadth made with a pen pencil tool etc. on a surface: a line down the middle of the page. See more.
When geometry was first formalised by Euclid in the Elements he defined a general line (straight or curved) to be "breadthless length" with a straight line being a line "which lies evenly with the points on itself". These definitions serve little purpose since they use terms which are not by themselves defined. In fact Euclid himself did not use these definitions in this work and probably included them just to make it clear to the reader what was being discussed. In modern geometry a line is simply taken as an undefined object with properties given by axioms but is sometimes defined as a set of p…
When geometry was first formalised by Euclid in the Elements he defined a general line (straight or curved) to be "breadthless length" with a straight line being a line "which lies evenly with the points on itself". These definitions serve little purpose since they use terms which are not by themselves defined. In fact Euclid himself did not use these definitions in this work and probably included them just to make it clear to the reader what was being discussed. In modern geometry a line is simply taken as an undefined object with properties given by axioms but is sometimes defined as a set of points obeying a linear relationship when some other fundamental concept is left undefined. In an axiomatic formulation of Euclidean geometry such as that of Hilbert (Euclid's original axioms contained various flaws which have been corrected by modern mathematicians) a line is stated to have certain properties which relate it to other lines and points. For examp...
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