A Brief History of Non-Euclidean Geometry

Autor/inn/en	Marshall, Daniel; Scott, Paul
Titel	A Brief History of Non-Euclidean Geometry
Quelle	In: Australian Mathematics Teacher, 60 (2004) 3, S.2-4 (3 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0045-0685
Schlagwörter	Quantitative Daten; Geometry; History + Suchen Sie Ihr Suchwort? Geometrie; Geschichte; Geschichtsdarstellung
Abstract	Around 300 BC, Euclid wrote "The Elements", a major treatise on the geometry of the time, and what would be considered "geometry" for many years after. Arguably "The Elements" is the second most read book of the western world, falling short only to The Bible. In his book, Euclid states five postulates of geometry which he uses as the foundation for all his proofs. It is from these postulates we get the term Euclidean geometry, for in these Euclid strove to define what constitutes "flat-surface" geometry. These postulates are: (1) [It is possible] to draw a straight line from any point to any other; (2) [It is possible] to produce a finite straight line continuously in a straight line; (3) [It is possible] to describe a circle with any centre and distance [radius]; (4) That all right angles are equal to each other; and (5) That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two lines, if produced indefinitely, meet on that side on which the angles are less than the two right angles. (ERIC).
Anmerkungen	Australian Association of Mathematics Teachers Inc., GPO Box 1729, Adelaide, S. Australia, 50001. Web site: http://www.aamt.edu.au.
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10