The Journal of the Indian Mathematical Society

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Definition of Straight Line


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1 I.C.S., India
     

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In his excellent little book "Euclid's Parallel Postulate" (The Open Court Publishing Company, 1905), Withers has stated that "the essential meaning of the straight line as used in the various forms of geometry has not been clearly determined. "Lobatchewsky defines the straight line" as one which fits upon itself in all its positions so that, if we turn the surface containing it about two points of the line, the line does not move."
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  • Definition of Straight Line

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Authors

S. V. Ramamurthy
I.C.S., India

Abstract


In his excellent little book "Euclid's Parallel Postulate" (The Open Court Publishing Company, 1905), Withers has stated that "the essential meaning of the straight line as used in the various forms of geometry has not been clearly determined. "Lobatchewsky defines the straight line" as one which fits upon itself in all its positions so that, if we turn the surface containing it about two points of the line, the line does not move."