Famous Problems Of Elementary Geometry: The Duplication Of The Cube, The Trisection Of An Angle, The Quadrature Of The Circle, : An Authorized Translation Of F. Klein's Vorträge

Widely regarded as a classic of modern mathematics, this expanded version of Felix Klein's celebrated 1894 lectures uses contemporary techniques to examine three famous problems of antiquity: doubling the volume of a cube, trisecting an angle, and squaring a circle. Today's students will find this volume of particular interest in its answers to such questions as: Under what circumstances is a geometric construction possible? By what means can a geometric construction be effected? What are transcendental numbers, and how can you prove that e and pi are transcendental? The straightforward treatment requires no higher knowledge of mathematics. Unabridged reprint of the classic 1930 second edition. 1 (p0-1): 目录 1 (p0-2): 绪言 4 (p0-3): 第一编 对联的起源 9 (p0-4): 第二编 对联的撰写 13 (p0-5): 第三编 常用对联 14 (p0-6): 第一节 春联 14 (p0-7): 一、城乡用联 14 (p0-8): 1.城乡通用联 28 (p0-9): 附:宅第和格言联 32 (p0-10): 2.改革开放联 38 (p0-11): 3.台胞、侨属联 40 (p0-12): 1.农业通用联 40 (p0-13): 二、农业用联 47 (p0-14): 2.渔业联 49 (p0-15): 3.林业联 52 (p0-16): 4.畜牧业联 53 (p0-17): 5.乡镇企业联 54 (p0-18): 三、商业用联 54 (p0-19): 1.商业通用联 57 (p0-20): 2.绸布店、服装店联 58 (p0-21): 3.百货商店联 59 (p0-22): 4.旅社、饭店、酒馆联 61 (p0-23): 5.副食品店、杂货店联 62 (p0-24): 6.理发店、照相馆联 63 (p0-25): 7.集贸市场联 64 (p0-26): 9.中西药店联 64 (p0-27): 8.银行、税务联 65 (p0-28): 10.供销合作社联 66 (p0-29): 11.其它商店联 70 (p0-30): 四、交通、邮电用联 70 (p0-31): 1.铁路联 70 (p0-32): 2.公路联 70 (p0-33): 3.航运联 71 (p0-34): 4.邮电联 72 (p0-35): 五、工矿用联 72 (p0-36): 1.工矿通用联 73 (p0-37): 2.钢铁厂联 73 (p0-38): 3.纺织厂联 74 (p0-39): 6.化肥厂联 74 (p0-40): 7.制药厂联 74 (p0-41): 5.建筑业联 74 (p0-42): 4.印刷厂联 75 (p0-43): 8.米面厂联 75 (p0-44): 9.服装厂联 75 (p0-45): 10.酿酒厂联 75 (p0-46): 11.木器厂联 76 (p0-47): 六、教育、文艺、体育、卫生联 76 (p0-48): 1.教育联 77 (p0-49): 2.文艺联 79 (p0-50): 3.体育联 80 (p0-51): 4.卫生联 81 (p0-52): 5.书店、图书馆联 82 (p0-53): 七、机关、团体通用联 86 (p0-54): 八、部队、军属通用联 87 (p0-55): 第二节 节目联 88 (p0-56): 一、元旦节联 88 (p0-57): 二、春节联 88 (p0-58): 三、元宵节联........................ 89 (p0-59): 四、植树节联 89 (p0-60): 五、清明节联 89 (p0-61): 六、三·八妇女节联 90 (p0-62): 七、五·一劳动节联 90 (p0-63): 八、五·四青年节联 90 (p0-64): 九、端午节联 91 (p0-65): 十一、七·一建党节联 91 (p0-66): 十、六·一儿童节联 92 (p0-67): 十二、·八·一建军节联 93 (p0-68): 十三、教师节联 95 (p0-69): 十四、中秋节联 95 (p0-70): 十五、十·一国庆节联 96 (p0-71): 十六、敬老节(重阳)联 98 (p0-72): 第三节 贺婚联(附生育子女联) 98 (p0-73): 一、大门联 103 (p0-74): 二、洞房联 104 (p0-75): 三、贺生子女(孙)联 106 (p0-76): 第四节 祝寿联 106 (p0-77): 一、通用寿联 110 (p0-78): 二、男寿联 112 (p0-79): 三、女寿联 113 (p0-80): 四、夫妻双寿联 115 (p0-81): 五、高寿联 117 (p0-82): 第五节 哀挽联 118 (p0-83): 一、通用挽联 121 (p0-84): 二、挽亲属联 121 (p0-85): 1.挽祖父母联 122 (p0-86): 2.挽外祖父母联 122 (p0-87): 3.挽父母联 123 (p0-88): 4.挽岳父母联 124 (p0-89): 5.挽叔伯父母联 124 (p0-90): 6.挽兄弟姊妹联 125 (p0-91): 8.挽妻联 125 (p0-92): 7.挽夫联 126 (p0-93): 三、挽友人联 128 (p0-94): 四、挽烈士、功臣联 129 (p0-95): 第六节 建房乔迁联 129 (p0-96): 一、建新房联 131 (p0-97): 二、乔迁联 135 (p0-98): 第四编 古今名联欣赏 135 (p0-99): 第一节 园林风景联 142 (p0-100): 第二节 祠庙墓碑联 146 (p0-101): 第三节 祝寿与哀挽联 153 (p0-102): 第四节 自题与题赠联 157 (p0-103): 附录:幽默讽刺联 160 (p0-104): 第五编 对联的贴写 165 (p0-105): 编后记 This Is A Reproduction Of The Original Artefact. Generally These Books Are Created From Careful Scans Of The Original. This Allows Us To Preserve The Book Accurately And Present It In The Way The Author Intended. Since The Original Versions Are Generally Quite Old, There May Occasionally Be Certain Imperfections Within These Reproductions. We're Happy To Make These Classics Available Again For Future Generations To Enjoy!