Geometry Civilized: History, Culture, and TechniqueClarendon Press, 1998 - 309 Seiten This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections. |
Inhalt
An old story | 1 |
From points to proof | 49 |
Tricks with triangles | 84 |
Urheberrecht | |
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AABC ABCD AC² algebra altitudes Archimedes base bisects calculation century Ceva's theorem Chinese chord circle centered circumference circumscribed congruence construction cos(a cyclic quadrilateral demonstration diagonal diameter distance earth equal angles equation equilateral triangle Euclid Euclidean Exercise extended figure follows geometry given Greek height Hence hexagon Huygens hypotenuse inscribed intersection Ladies diary law of cosines law of sines length Leybourn mathematician mathematics measure method midpoints octagon opposite parallel parallelogram pentagon perpendicular bisector plane polygon problem Proclus proof proposition prove Ptolemy's theorem Pythagorean theorem r₁ radii radius ratio rect rectangle right angle right triangle rt.Z semicircle sides similar triangles sin(a square straight angle straight line subtended tangent tion triangle ABC trigonometric vertical whence ZABC ZACB