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Experimental Conditions and Data
A Description of Procedures
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ability accepted acute angle adjacent angles angles are equal angles of parallel argument asked bisect BLOCKOUT Bolyai circle Committee on Geometry concept of proof concerning conclusions considered contribution course critical deductive proof defined definitions and assumptions demonstrative geometry developed dihedral angles discussion drawn Egyptians etry Euclid evaluation EVOLUTION OF PROOF experience fact formal geometry geom given line given point History of Mathematics hypotenuse illustrations implications important informal geometry interesting interior angles line segment lines intersect Lobatchewsky logical mathe Mathematics Teacher matics ment method nature of proof non-Euclidean geometries Ohio parallel lines parallelogram perpendicular plane plane geometry possible postulate presented problem proposition proved pupils in Class purpose Pythagoras question reasoning recognized right triangle rotation Search for Truth selected Senator side Skew lines Space was left statement straight line suggested teachers of mathematics Teaching tests Thales theorems thought tions transversal undefined terms write