The proofs produced by Euclid are elegant, short (often shorter than the proofs given by geometers) and understandable even to high school students. This method seems to be the first that can produce traditional proofs for hard geometry theorems automatically....
However, it will be useful in the proofs of the theorems that follow. The process that constructs the metric g2 from g1 can then be repeated to create a third metric g3, and so on. This generates a sequence of metrics (gi ), obtained from a sequence of functions (hi ) (Fig. 3)...
Auto2 mated deduction in geometry. Lecture notes in artificial intelligence 1360[ C] . Berlin : Springer2Verlag , 1997. 171 - 188.Yang, L., Gao, X. S., Chou, S. C. and Zhang, J. Z., Automated production of readable proofs for theorems in non-Euclidean geometries, Automated ...
Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the ancient Greek mathematician Euclid. The term refers to the plane and solid geometry commonly taught in secondary school. Euclidean geometry is
University of Kentucky, College of Arts and Sciences - Department of Mathematics - Euclidean Geometry (PDF) (Jan. 09, 2025) (Show more) See all related content Euclidean geometry, the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Eu...