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Euclidean Geometry
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== <span style="color: #FFFFFF;">Remembering</span> == * '''Euclidean Geometry''' β The study of geometry based on Euclid's 'Elements'. * '''Axiom (Postulate)''' β A statement accepted as true without proof. * '''Point''' β That which has no part; a position in space. * '''Line''' β A breadthless length. * '''Plane''' β A flat surface that extends infinitely. * '''Parallel Postulate''' β Euclid's 5th postulate: through a point not on a line, exactly one parallel line can be drawn. * '''Theorem''' β A statement that has been proven based on axioms and previously proven theorems. * '''Congruent''' β Identical in shape and size. * '''Similarity''' β Having the same shape but not necessarily the same size. * '''Pythagorean Theorem''' β In a right triangle, aΒ² + bΒ² = cΒ². * '''Construction''' β Creating geometric figures using only a straightedge and a compass. * '''Q.E.D. (Quod Erat Demonstrandum)''' β "Which was to be demonstrated"; used at the end of a mathematical proof. </div> <div style="background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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