SEGIEMPAT SACCHERI (Kajian Teoretik pada Geometri Non Euclid)

Widana, I Wayan (2013) SEGIEMPAT SACCHERI (Kajian Teoretik pada Geometri Non Euclid). Emasains, 2 (3). pp. 69-82. ISSN 2302-2124

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Abstract

Geometry is a deductive system. As a deductive system, geometry has a base understanding (primitive concept), definitions, postulates and arguments. Non- Euclidean geometry was born as a result of the failure of a new inspiration to mathematicians prove Euclid's 5th axiom of parallels. Lobachevsky and Bolyai are two characters who find Hyperbolic Geometry and Reimann is the inventor of the elliptical Geometry. Saccheri quadrilateral is a convex quadrilateral with sides of equal length pair that is perpendicular to the side of the base. Based on theoretical studies that have been done it is concluded that: (1) Saccheri Quadrilateral on Hyperbolic Geometry has the properties: a) peak congruent angles and taper angles, b) the length of the peak is longer than the length of the base, and c) long segment connecting the midpoints of the peak and the reason was shorter than the legs of the Saccheri quadrilateral, (2) Saccheri quadrilateral on Elliptic Geometry has the properties: a) the angles are congruent peaks and obtuse angle, b) the length of the peak is less than the length of the side of its base, and c) the length of the segment connecting the midpoints of the peak and the reason is longer than the legs of the Saccheri quadrilateral.

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