莱布尼茨的笔记仅限于牛顿的书的早期章节，这些章节先于牛顿微积分概念和技巧的介绍。
Leibniz' notes are limited to early sections of Newton's book, sections that precede the ones in which Newton's calculus concepts and techniques are presented.
以物理为例：牛顿模型是近似真相的模型(牛顿模型在原子层面上是错误的，但是依旧有用)。
Consider physics: Newtonian models were crude approximations of the truth (wrong at the atomic level, but still useful).
（幻灯片出现：自然界遵循一定得规律，用牛顿的话说就是”自然哲学就是找出自然界规律的学科“（科学在牛顿那个年代称之为自然哲学）尽管人类不断努力去追寻这些规律的更精确形式，也许最终找到了他们的最终形式，但是这些规律不仅仅是人类的思维构想。
(slide-"Nature obeys laws and, in Newton's words, 'it is the business of natural philosophy to find them out.' (Natural philosophy was, in his day, the term for science.)
牛顿的故事发生自1660年代中期，因瘟疫爆发剑桥大学被迫关闭，牛顿回到他英格兰北部的家乡之后，一直在进行他的研究。
The incident occurred in the mid-1660s, when Newton retreated to his family home in northern England after an outbreak of the plague closed the University of Cambridge, where he had been studying.
牛顿参与炼金术并不完全是保密的，更像是被忽略了。只是直到最近，社会科学历史学家充分地分析牛顿在这个主题上大量的著述。
Newton's involvement in alchemy was never fully secret, more like neglected. Only recently have science historians fully analyzed Newton's extensive writings on the subject.
物理单位“牛顿”，是以物理学家伊萨卡牛顿命名的，一牛相当于一颗处于地球表面苹果因重力因素而所受力的大小。
The newton, named after the physicist Isaac Newton, is approximately the force exerted by gravity on an apple at the Earth’s surface.
我听说过牛顿，可一点儿也不懂牛顿力学。
I knew the name Isaac Newton, but nothing about Newtonian Mechanics.
牛顿的研究成果在1687年首次出版的《自然哲学的数学原理》一书中发表。 在这本书里牛顿对以前科学家所关心的大部分力学难题做出了解答。
The outcome was the famous "Principia Mathematica", first published in 1687, in which Newton presented solutions to most of the problems of motion that had concerned earlier scientists.
牛顿力学，因为牛顿力学,在这种很小的尺度下不适用,我们说过，牛顿力学。
So, it's Newtonian mechanics, and the reason for this is because Newtonian mechanics does not work on this very, very small size scale.
“牛顿爵士从来没参加过任何的娱乐消遣活动，他将所有的时间都花在了科学研究上”，牛顿的助手汉佛瑞.牛顿回忆道。
“I never knew him to take any recreation or pastime,” said his assistant, Humphrey Newton, “thinking all hours lost that were not spent on his studies.”
七十岁的德里克·牛顿说，“鱼也需要帮助。”牛顿已经为奈尔消防队当了十年义工。
"The fish need help too," said Derek Newton, 70, who has volunteered for the Nile Fire Department for 10 years.
就像我们班，在学牛顿第一定理的时候，我们总是说，这牛顿、伽利略，还有爱因斯坦，怎么都那么空呢，净整出个什么定理，是吃饱了没事干来折磨我们啊！
Just like our class, learning to Newton's first theorem, we always say, that Newton, Galileo and Einstein, how is so empty, net what theorem, to torture is stuffed around us!
例如，艾萨克·牛顿通过挖掘他的天赋做了一个举世惊叹的发现，并发现牛顿万有引力定律。
For instance, Isaac Newton made a universally amazing discovery by digging into his gift and finding the Newton's law of gravitation.
摘要在爱因斯坦的相对论基础之上，借助牛顿绝对时空的观点，对牛顿万有引力定律进行了理论推导。
The equation of the law of universal gravitation is deduced on the basis of einstein's relativity with newton's viewpoint of absolute space time.
一次，当牛顿正站正在海滩沙卤，一名朋友便果天下着名的牛顿力教定律战别的一些收现创做收现而歌颂他。
Once when Newton was standing on seashore, one of his friends praised him for his world-renowned laws of mechanics and other inventions.
科恩，I。伯纳德。《牛顿的方法和牛顿的风格》。126-44页。
Cohen, I. Bernard. "Newton's Method and Newton's Style," pp. 126-44.
牛顿被苹果砸了一下，从此有了牛顿定律。
在牛顿最伟大的科学著作《原理》问世时，牛顿正在剑桥大学任职。
In Newton the greatest scientific work "principle" when coming out, Newton is holding a post in Cantabrigian university.
本文提出的这种方法，它的特点在于：我们不是用牛顿迭代法去直接逼近方程的根，而是用牛顿迭代法去逼近方程的二次因子。
The method presented in this paper is not to approximate directly with Newton iterate the roots of a polynomial but to approximate its second order factors.
无可争议，牛顿的头脑是最高才智的头脑，然而当问到他是用什么方法获得惊人的发现时，牛顿谦虚地回答：“全靠对那些问题不断地深思。”
Newton"s was unquestionably a mind of the very highest order, and yet, when asked by what means he had worked out his extraordinary discoveries, he modestly answered, "By always thinking unto them.
在数学上，牛顿创立了“牛顿二项式定理”，并和莱布尼兹几乎同时创立了微积分学。
In mathematics, Newton established "the Newton binomial theorem", and nearly simultaneously established the calculus study with Leibniz.
对于牛顿球之间的非弹性碰撞实验进行分析和讨论，其结果既体现牛顿定理的应用，又对工程中许多非弹性碰撞问题的研究具有指导作用。
The experiments of non-elastic collision between the Newton's balls are carried out with its results discussed, by which many problems of non-elastic collision in engineering could be guided.
颗粒的运动满足牛顿第二定律，流体相的运动规律由局部平均的纳维斯托克斯方程求解，两相间的耦合由牛顿第三定律决定。
The motion of individual particles is obtained by solving Newtons second law of motion and gas flow by the Navier Stokes equation based on the concept of local average.
文章研究了牛顿第一定律的实质及在牛顿三个定律中的地位和作用。
The essence of Newton's First law and the position in the Newtion's three law was studied.
较详细地描述了用于暂态稳定性计算的时间空间并行松弛牛顿方法以及用于收缩导纳矩阵计算的空间并行松弛牛顿方法。
A new parallel in time and in space relaxed Newton method and a new parallel in space relaxed Newton method for admittance matrix reduction are described in detail.
萨拉·德里引人入胜的新书《牛顿文稿》追溯了牛顿未出版的手稿在他死后的遭遇。
Sarah Dry's engaging book, "The NewtonPapers", traces what happened to Newton's unpublished manus after his death.
对锚式搅拌器在牛顿流体和非牛顿流体中的功耗进行了系统地实验研究。
The power consumption of anchor impellers with various designs was investigated by systemic experiments in Newtonian and non Newtonian fluids.
分析了牛顿环法的测量原理，利用牛顿环法对芯片翘曲度进行了测量。
The theory of the Newton ring method is analyzed and the chip warpage is measured by use of the Newton ring method.
分析了牛顿环法的测量原理，利用牛顿环法对芯片翘曲度进行了测量。
The theory of the Newton ring method is analyzed and the chip warpage is measured by use of the Newton ring method.
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