%0 Journal Article %1 ivashkevich2019constructivedeductive %A Ivashkevich, Evgeny V. %D 2019 %K geometry mathematics readings %T On Constructive-Deductive Method For Plane Euclidean Geometry %U http://arxiv.org/abs/1903.05175 %X 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.

@article{ivashkevich2019constructivedeductive, 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.}, added-at = {2020-01-20T14:14:31.000+0100}, author = {Ivashkevich, Evgeny V.}, biburl = {https://www.bibsonomy.org/bibtex/21c4781c5e9c4f42098774849e653b5ed/kirk86}, description = {[1903.05175] On Constructive-Deductive Method For Plane Euclidean Geometry}, interhash = {c934853d587f25a19729ca91fb8d4a9e}, intrahash = {1c4781c5e9c4f42098774849e653b5ed}, keywords = {geometry mathematics readings}, note = {cite arxiv:1903.05175Comment: 45 pages,16 figures, 6 tables}, timestamp = {2020-01-20T14:15:00.000+0100}, title = {On Constructive-Deductive Method For Plane Euclidean Geometry}, url = {http://arxiv.org/abs/1903.05175}, year = 2019 }