(Euclid) Two unequal magnitudes being set out, if from the greater there be subtracted a magnitude greater than its half, and from that which is left a magnitude greater than its half, and if this process be repeated continually, there will be left some magnitude which will be less than the lesser magnitude set out.
(Newton)Quantities, as well as the ratios of quantities, which in any finite time you please constantly tend towards equality, and before the end of that time approach nearer to each other than by any given difference you please, become ultimately equal. (查看原文)
建议选择其他译本。存在不少由于译者理解偏差导致的错漏,例如定义八,书中译作“平面角是一个平面上的两条直线相交的倾斜度”,但原文是“A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line”,并没有要求...建议选择其他译本。存在不少由于译者理解偏差导致的错漏,例如定义八,书中译作“平面角是一个平面上的两条直线相交的倾斜度”,但原文是“A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line”,并没有要求两条线本身是直线,只是强调二者不能共线。而被译者错当成平角的定义九,才是需要角两边是直线的“直线角”,“And when the lines containing the angle are straight, the angle is called rectilineal”。(展开)
欧几里得(Εὐκλείδης,Euclid,活跃于公元前300年左右)是埃及托勒密王朝亚历山大城的古希腊数学家,其生活年代介于柏拉图(Plato,前427-前347)和阿波罗尼奥斯(Apollonius of Perga,约前262-约前190)之间。他的主要著作《几何原本》(Στοιχε?α,Ele...
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0 有用 云璈 2022-08-31 07:57:44 中国香港
建议选择其他译本。存在不少由于译者理解偏差导致的错漏,例如定义八,书中译作“平面角是一个平面上的两条直线相交的倾斜度”,但原文是“A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line”,并没有要求... 建议选择其他译本。存在不少由于译者理解偏差导致的错漏,例如定义八,书中译作“平面角是一个平面上的两条直线相交的倾斜度”,但原文是“A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line”,并没有要求两条线本身是直线,只是强调二者不能共线。而被译者错当成平角的定义九,才是需要角两边是直线的“直线角”,“And when the lines containing the angle are straight, the angle is called rectilineal”。 (展开)
1 有用 Sisyphus 2020-03-27 22:34:04
看了一个多月,没读过其他版本,整体看起还算比较通畅。许多命题的备注给了现代的公式,结合着理解还不错。(闲了拿来看看可以锻炼耐性,提高逻辑思维能力) ——一个数学小白.
0 有用 豆芽 2019-03-24 10:52:55
这里的逻辑是最恐怖的。假如上学时读也未必能理解到这个层次。
1 有用 王嘉宇 2021-01-01 13:57:22
搞不懂看过的人为什么那么少?