Abstract
Constructive-deductive method for plane Euclidean geometry is proposed and
formalized within Coq Proof Assistant. This method includes both postulates
that describe elementary constructions by idealized geometric tools (pencil,
straightedge and compass), and axioms that describes properties of basic
geometric figures (points, lines, circles and triangles). The proposed system
of postulates and axioms can be considered as a constructive version of the
Hilbert's formalization of plane Euclidean geometry.
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