登陆注册
5267600000110

第110章 10(1)

We have now to assert that the first movent must be without parts and without magnitude, beginning with the establishment of the premisses on which this conclusion depends.

One of these premisses is that nothing finite can cause motion during an infinite time. We have three things, the movent, the moved, and thirdly that in which the motion takes place, namely the time: and these are either all infinite or all finite or partly-that is to say two of them or one of them-finite and partly infinite. Let A be the movement, B the moved, and G the infinite time. Now let us suppose that D moves E, a part of B. Then the time occupied by this motion cannot be equal to G: for the greater the amount moved, the longer the time occupied. It follows that the time Z is not infinite. Now we see that by continuing to add to D, I shall use up A and by continuing to add to E, I shall use up B: but I shall not use up the time by continually subtracting a corresponding amount from it, because it is infinite. Consequently the duration of the part of G which is occupied by all A in moving the whole of B, will be finite.

Therefore a finite thing cannot impart to anything an infinite motion.

It is clear, then, that it is impossible for the finite to cause motion during an infinite time.

It has now to be shown that in no case is it possible for an infinite force to reside in a finite magnitude. This can be shown as follows: we take it for granted that the greater force is always that which in less time than another does an equal amount of work when engaged in any activity-in heating, for example, or sweetening or throwing; in fact, in causing any kind of motion. Then that on which the forces act must be affected to some extent by our supposed finite magnitude possessing an infinite force as well as by anything else, in fact to a greater extent than by anything else, since the infinite force is greater than any other. But then there cannot be any time in which its action could take place. Suppose that A is the time occupied by the infinite power in the performance of an act of heating or pushing, and that AB is the time occupied by a finite power in the performance of the same act: then by adding to the latter another finite power and continually increasing the magnitude of the power so added I shall at some time or other reach a point at which the finite power has completed the motive act in the time A: for by continual addition to a finite magnitude I must arrive at a magnitude that exceeds any assigned limit, and in the same way by continual subtraction I must arrive at one that falls short of any assigned limit. So we get the result that the finite force will occupy the same amount of time in performing the motive act as the infinite force. But this is impossible. Therefore nothing finite can possess an infinite force. So it is also impossible for a finite force to reside in an infinite magnitude. It is true that a greater force can reside in a lesser magnitude: but the superiority of any such greater force can be still greater if the magnitude in which it resides is greater. Now let AB be an infinite magnitude. Then BG possesses a certain force that occupies a certain time, let us say the time Z in moving D. Now if I take a magnitude twice as great at BG, the time occupied by this magnitude in moving D will be half of EZ (assuming this to be the proportion): so we may call this time ZH.

That being so, by continually taking a greater magnitude in this way I shall never arrive at the full AB, whereas I shall always be getting a lesser fraction of the time given. Therefore the force must be infinite, since it exceeds any finite force. Moreover the time occupied by the action of any finite force must also be finite: for if a given force moves something in a certain time, a greater force will do so in a lesser time, but still a definite time, in inverse proportion. But a force must always be infinite-just as a number or a magnitude is-if it exceeds all definite limits. This point may also be proved in another way-by taking a finite magnitude in which there resides a force the same in kind as that which resides in the infinite magnitude, so that this force will be a measure of the finite force residing in the infinite magnitude.

同类推荐
热门推荐
  • 捡宝

    捡宝

    一块通灵玉牌,无数奥秘开来。王鼎在获得一块神奇的通灵玉牌后,开始了彪悍的捡宝之路。捡宝,不仅是收藏圈,珠宝界,还囊括矿产、赌石、盗墓、实力雄厚了就去外国“抢”宝。从此,用华夏五千年的文化装点自己这个大收藏家,然后捎带着经经商,顺带培养投资几个女明星。何为捡宝?凡是我王鼎认为是宝贝的统统都是宝,都可以捡。不一样的捡宝,不一样的好看。且看一个古玩店的小伙子如何玩转古玩珠宝界,成为名符其实的大收藏家!(建个捡宝群,书友有兴趣可进群91071298)
  • 冰火法神

    冰火法神

    欢迎来到安菲利欧,一个神秘的类网游世界。在这里,你可以获取经验,升级专长,学习技能,狩猎魔物;在这里,你可以组建旅团,挑战秘境,寻找宝藏,祈求灵佑;在这里,你可以参加联赛,绽放光芒,争夺冠冕,成为王者。但……请记住!这里是类网游,不是真网游!这是一个真实的世界!若是你以游戏的心态进来,那请做好准备——做好迎接死亡,滚回地球的准备!——来自某个玩冰弄火的法师,给新人的忠告。
  • 世纪末的救赎

    世纪末的救赎

    陆家林有点费劲地抽出一直插在裤袋里的手。他捏着那把瑞士军刀,手心满是汗。他竭力控制住手。手指僵住了,还有点痉挛,颤抖。他仔细地打开了那把瑞士军刀。他看到眼前庄柏的背部又厚实又平坦,像一副上好的砧板,只是白衬衫在昏暗的光线中,显得有些刺眼。电视里开始倒数到5了。他闭上眼睛,高高举起刀子,心里数着与电视里相反的数字。当他数出第一个数字,刀子重重地扎了下去。他扎了一刀又一刀。扎到第六刀的时候,电视里恰好数到了零。他听到一记响亮的钟声,接着听到全世界都在他眼前欢呼。他全身的痛楚奇迹般地消失了。
  • 一世无双:邪医小弃妃

    一世无双:邪医小弃妃

    叶瑾瑜,神域的剑主,要才,有得;要貌,也有得。却不想重活一世,要器灵,没有;血脉觉醒,也没有。她本着先天不足,后天有余的信念,一路闪瞎众人的双眼。待到大军兵临城下之时,某男一脸奸计得逞的模样:“都收拾收拾,准备大婚!”叶瑾瑜一脸的嫌弃:“我说,你就不能挑个好日子,非得今天!”某男委屈极了:“怎么不是好日子了,夫人,你瞧盼着我们大婚的人都排到城门外了,你就将就下主随客便吧!”于是,某女就这么稀里糊涂的嫁了。已开新文《至尊驭兽妃》,小仙女们都要来看呦~保证有惊喜,么么扎~
  • 甲申杂记

    甲申杂记

    本书为公版书,为不受著作权法限制的作家、艺术家及其它人士发布的作品,供广大读者阅读交流。汇聚授权电子版权。
  • 步步为赢:职业废材逆袭记

    步步为赢:职业废材逆袭记

    昔日她还是废材七小姐,他说,他要娶她,保护她。她答:你可以不爱我,但绝不可以骗我。彼时她已经站在了巅峰,他却与她拔刀相向,就像前世那人一样,将匕首送进了她的胸口。她为他堕入魔道,神挡杀神,人挡杀人,嗜血狂傲。他为他舍身成仁,凤凰涅槃,浴火重生,傲视苍穹。是谁说,当神已无力,便是魔渡众生……
  • 弃女之邪妃惑夫

    弃女之邪妃惑夫

    慕长音,江湖冷血杀手,可笑她两世为人,却被爱情迷了心智,忘了云泥之别,忘了区区一个杀手难以匹配临国的实际帝王,倾尽了所有换来的只是天下人的耻笑谩骂以及他狠心绝情的追杀!绝望之下她以性命为代价,誓要他一生一世也摆脱不了她!岂料闭眼睁眼间竟再次重生,成了楚国忠王府平安郡主,同样的时空,却是五年之后!两国和亲,她避无可避地与他再度相遇,而此时她有着足以与他匹敌的身份,可是前世伤痛刻骨,恨意随行,她不愿再重蹈覆辙执迷不悟!此生她不再求轰轰烈烈刻骨铭心,只愿与知她懂她爱她之人相携白首!然而当她愿意放下之时,他却执意纠缠不清。楚国金銮殿上,他以五十城池为聘,两国盟约威胁,要她下嫁和亲,立誓此生不负。她却当众宣布,早已心有所属,纵使他以江山为聘也绝负心绝情!不日,她果真十里红妆嫁与他人。……风载秦他是临国齐王世子,权倾临国,不是帝王却掌帝王之权,江山社稷,万民福祉,祖宗遗训,他从未辜负,却偏偏辜负了她,幡然醒悟之时已是阴阳两隔,五年锥心苦等,却换来相见不识。待终于认出之时,她却爱意不在,可他早已爱入骨髓,如何能放手?百般谋算,步步为营,纵使毁天灭地,也定要重得她的心!……宗不寂他是她捡来的孤儿,多年来相依为命生死与共,此生最大的憾是没有及时将对她的爱宣诸于口,最大的恨是没有将她拉离那人身边让她含恨而终,好在上苍怜悯,让她还魂归来!往后时光,他定然将她圈在怀中,神阻杀神,佛抢杀佛!……秦落他是魔宫宫主,多年来传授武功,无师徒之名有师徒之实,他护她,帮她,却只是将她当做棋子,可是当他惊觉她并非他以为那人,一切便彻底改变……
  • 古希腊悲剧喜剧全集1:埃斯库罗斯悲剧

    古希腊悲剧喜剧全集1:埃斯库罗斯悲剧

    权威版本:以剑桥勒伯古典版古希腊文本为依托,收集所有古希腊的传世戏剧作品。名家名译:古希腊罗马文学、文化专家张竹明教授和王焕生教授倾十年之功,从古希腊原文精心译成。全新亮相:绝版多年,全面修订,装帧升级,典雅尊贵,极具收藏价值。大奖作品:曾获第二届中国出版政府奖,第二届中华优秀出版物奖,第十一届哲学社会科学优秀成果奖等重大奖项。位于地中海东北部的希腊,是欧洲文化的摇篮,人类戏剧的最早发源地。古希腊悲、喜剧都与酒神庆典和民间滑稽演出有着血缘关系。
  • 世界名人成长历程:财富巨擘的企业家(3)

    世界名人成长历程:财富巨擘的企业家(3)

    本书精选荟萃了古今中外各行各业具有代表性的有关名人,其中有政治家、外交家、军事家、谋略家、思想家、文学家、艺术家、教育家、科学家、发明家、探险家、经济学家、企业家等,阅读这些名人的成长故事,能够领略他们的人生追求与思想力量,使我们受到启迪和教益,使我们能够很好地把握人生的关健时点,指导我们走好人生道路,取得事业发展。
  • 夏有乔木:雅望天堂(全集)

    夏有乔木:雅望天堂(全集)

    16岁的少女雅望,应爸爸要求去照顾其战友之子10岁的夏木。美丽的男孩夏木因为童年时期经历的了亲生母亲的死亡现场,而从此生活在一个人的世界里,无法与外界产生一丝的共鸣与沟通。雅望的出现渐渐融化了夏木的心;可是雅望青梅竹马的恋人唐小天高中毕业后去当兵后,认识了大学同学曲蔚然,最终引狼入室。从此雅望,夏木,唐小天,他们三个人的命运都因此而发生翻天覆地的改变……