How could we define the existence of an object/element in the Euclidean space?

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Let X be an object/element, What does it mean when I say "X is an object in the Euclidean space"? in other words, What differs an existed object from an unexisted one in the Euclidean space?

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Elements (points) of Euclidean geometry are taken as primitive notions, with no further explanation. Their existence is postulated. Every other thing existing "in" the space would be described as collections of these points.