Geometry Civilized: History, Culture, and TechniqueClarendon Press, 2000 - 309 من الصفحات 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. |
المحتوى
An old story | 8 |
From points to proof | 49 |
Tricks with triangles | 93 |
FAITH | 105 |
Many cheerful facts about the square of the hypotenuse | 149 |
From polygons to | 189 |
4 | 241 |
Tough knots | 269 |
| 297 | |
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
AABC ABCD AC² algebra alternate interior angles altitudes Archimedes base bisects calculation century 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 semicircle sides similar triangles sin(a square straight angle straight line subtended tangent tion triangle ABC trigonometric trigonometric functions vertical whence ZABC ZACB