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...Iosr journal of mathematics jm e issn p x volume issue ver ii jan feb pp www iosrjournals org comparison euclidean and non geometry nikita s patel general department silver oak college gtu india corresponding author abstract this paper described the was extreme important to ancient societies used for surveying astronomy navigation building mainly divided in two parts also is into sub hyperbolic spherical intention article compare keywords date submission acceptance i introduction purpose furnish geometries then them that first all his book elements illustrate euclid failure discovery after discussed about some similarities differences between a branch concerned with properties configurations geometric objects points straight lines circles being most basic these although word derives from greek geo earth metron measure it space figures mathematical system attributed alexandrian mathematician which he textbook on method consists assuming small set intuitively appealing axioms deducing ma...