黄金分割与黄金图形

• 作 者: 徐瑛 鲍献明
• 出 处: 中学生数理化(初中版)
• 发表日期: 2006年04期
• 关键词: 黄金三角形 黄金矩形 古希腊数学 欧多克斯 植物茎 使人 平分线 黄金数 二字 在原

一、黄金分割的来历据说,最早发现黄金分割比例的是古希腊数学家欧多克斯．有趣的是,这个比值与自然界及生活中的许多最佳状态或现象有着密切的联系．例如,画幅、书页的宽与长之比设计成0．618∶1,使人觉得最美观;弦乐器在琴弦的黄金分割点处泛音,奏出的声音最悦耳;有些植物茎上,相邻

1. The history of the golden section is said to have been discovered by the ancient Greek mathematician Eudoc. Interestingly, this ratio is closely related to many of the best states or phenomena in nature and life. For example, the ratio of the width and length of the frame and page is designed to be 0.618:1, which makes people feel the most beautiful; the stringed instruments are overtoneed at the golden points of the strings, and the sounds produced are most pleasing; some plant stems are adjacent to each other.