Original sentence: , not lying on the same line).In 3 dimensional Euclidean space, like lines, planes can be parallel or intersecting.In higher dimensional Euclidean space, a plane inside this space can be uniquely determined by any of the following (sets of) objects:.In his work Euclid never makes use of numbers to measure length, angle, or area {{citation needed}.In other words, he selected a small core of undefined terms (called common notions) and postulates (or axioms) which he then uses these to prove various geometrical statements.In this setting planes differ from lines Differing from lines, however, planes cannot be skew.Intersecting planes may be perpendicular, or may form any number of other angles.Lines drawn on two parallel planes will either be parallel or skew, but will not intersect.More formally it may be regarded as anything that satisfies the axioms for Euclidean geometry
Edited sentence: He selected a small core of undefined terms (called common notions) and postulates (or axioms) which he then uses these to prove various geometrical statements.In 3 dimensional Euclidean space, planes, like lines, can be parallel or intersecting.In higher dimensional Euclidean space, a plane inside this space can be uniquely determined by any of the following sets of objects:.In his work Euclid never makes use of numbers to measure length, angle, or area.Intersecting planes may be perpendicular or may form any number of other angles.Lines drawn on two parallel planes will either be parallel or skew but will not intersect.not lying on the same line)