首页 > 代码库 > NewtonPrincipia --- 公理或运动的定律 --- 系理二
NewtonPrincipia --- 公理或运动的定律 --- 系理二
NewtonPrincipia --- 公理或运动的定律 --- 系理二
自然哲学的数学原理>公理或运动的定律>系理II
平行四边形ABCD,那么:
直接的力AD由任意的力AB和BD合成,
直接的力AD可以任意分解为任意倾斜的力AB和BD
在垂直的重力中
从一个轮子的中心O伸出不等的半径OM、ON
由细线MA,NP支持着重量A和P,
过中心O引垂直于细线的直线KOL交细线于K和L
且以中心O和OK、OL中的较大者OL划一圈交细线MA与D
又做直线OD,AC平行与它,DC平行于它
证明:悬挂的重量之比是悬挂细线到轮子中心距离的反比
因为细线上的点K、L、D、是否属于轮子的平面并无差别
所以悬挂在K或L或D上的重量对轮子的效果是相同的
设重量A的力由细线AD表示,这个力被分为AC和CD
其中的AC直接的自中心拉半径OD,对轮子的运动没有作用
另一个力DC垂直的拉半径DO,犹如它垂直的拉等于OD的半径OL
这就是说,它与重量P有相同的作用
垂直拉OD的力与A的重力之比如同力DC比DA
由于三角形ADC、DOC相似,所以如同OK比OD
由于D、L在圆O的圆周上,所以如同OK比OL
这是天平、杠杆、绞盘所悉知的性质
下面的图是用SketchUp画的:
求值:在平衡时,斜面上的权p与另一侧的权A之比
权p等于权P,部分的被细线Np支撑,部分倚在倾斜的平面pG上
引pH、NH,前者垂直于地平线,后者垂直于平面pG
如果p向下的重力由线pH表示,这个力可以分解为pN、HN
如果某个平面pQ垂直于细线pN且截另一平面pG于平行于地平线的一条直线
这时,权p只倚在平面pQ、pG上它以力pH、HN垂直的压迫平面pQ、pG
如果平面pQ被除去,细线会被权p拉紧
细线的张力比垂线pN的张力如同pN比pH
因为权p等于权P,所以亦比垂线PN的张力如同pN比pH
权p和权A之比,由OK与OL的反比以及pH比pN的正比复合而成
这两个权对轮子的运动具有相同的效力,相互遏制达到平衡状态
以上内容引用自牛顿的《自然哲学的数学原理》,对它做了更适于理解的描述
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hosts文件和谷歌搜索引擎的使用
解决视频播放器kmplayer显示广告问题
C:\Windows\System32\drivers\etc\hosts
这个文件可以定义本地的域名解析,添加
127.0.0.1 player.kmpmedia.net
访问player.kmpmedia.net就会域名解析到127.0.0.1
这样,kmp广告找不到服务器就不会播放广告了
同样的,只要知道谷歌对应服务的ipv4地址就可以访问谷歌的服务了
因为其中有一些链接是用域名写的,
所以不修改本地域名映射文件的话,点击谷歌域名链接也是没有响应的
谷歌浏览器提供了图片搜索的功能,如图:
hosts文件如下:
# Copyright (c) 1993-2009 Microsoft Corp.## This is a sample HOSTS file used by Microsoft TCP/IP for Windows.## This file contains the mappings of IP addresses to host names. Each# entry should be kept on an individual line. The IP address should# be placed in the first column followed by the corresponding host name.# The IP address and the host name should be separated by at least one# space.## Additionally, comments (such as these) may be inserted on individual# lines or following the machine name denoted by a ‘#‘ symbol.## For example:## 102.54.94.97 rhino.acme.com # source server# 38.25.63.10 x.acme.com # x client host# localhost name resolution is handled within DNS itself.# 127.0.0.1 localhost# ::1 localhost127.0.0.1 player.kmpmedia.net#################################################################################################===============================================================================================# Copyright (c) 1993-2009 Microsoft Corp.## This is a sample HOSTS file used by Microsoft TCP/IP for Windows.## This file contains the mappings of IP addresses to host names. Each# entry should be kept on an individual line. The IP address should# be placed in the first column followed by the corresponding host name.# The IP address and the host name should be separated by at least one# space.## Additionally, comments (such as these) may be inserted on individual# lines or following the machine name denoted by a ‘#‘ symbol.## For example:## 102.54.94.97 rhino.acme.com # source server# 38.25.63.10 x.acme.com # x client host# localhost name resolution is handled within DNS itself.# 127.0.0.1 localhost# ::1 localhost#@abclite 2014.6.24#iOS/OSX/PC 32PRE NO PASSWORD#DO NOT ANDROID#Dropbox START108.160.165.147 dropbox.com108.160.165.147 www.dropbox.com108.160.166.140 client-lb.dropbox.com107.20.134.222 dl.dropbox.com107.20.134.222 dl-web.dropbox.com23.21.206.219 forums.dropbox.com108.160.165.211 notify0.dropbox.com108.160.165.211 notify1.dropbox.com108.160.165.211 notify2.dropbox.com108.160.165.211 notify3.dropbox.com108.160.165.211 notify4.dropbox.com108.160.165.211 notify5.dropbox.com108.160.165.211 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m-dot-betaspike.appspot.com74.125.205.141 betaspike.appspot.com74.125.205.141 chrometophone.appspot.com74.125.205.141 lfe-alpo-gm.appspot.com#Ingress??#GoogleAccounts??74.125.204.84 accounts.google.com74.125.204.84 accounts.l.google.com#74.125.204.84 accounts.youtube.com#GoogleAccounts??#www.google.com??74.125.205.147 www.google.com#www.google.com??#AndroidGoogleMap??#203.208.46.200 clients.l.google.com61.19.1.55 clients1.google.com61.19.1.55 clients2.google.com61.19.1.55 clients3.google.com61.19.1.55 clients4.google.com61.19.1.55 clients5.google.com61.19.1.55 clients6.google.com61.19.1.55 clients7.google.com#AndroidGoogleMap??#GoogleDrive??74.125.205.102 drive.google.com74.125.205.102 docs.google.com74.125.201.132 googledrive.com74.125.201.132 storage.googleapis.com74.125.201.132 commondatastorage.googleapis.com74.125.201.132 static.panoramio.com.storage.googleapis.com#203.208.46.134 docs0.google.com#203.208.46.134 docs1.google.com#203.208.46.134 docs2.google.com#203.208.46.134 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doc-04-bc-docs.googleusercontent.com#173.194.117.203 doc-05-bc-docs.googleusercontent.com#173.194.117.203 doc-06-bc-docs.googleusercontent.com#173.194.117.203 doc-0c-bc-docs.googleusercontent.com#173.194.117.203 doc-0k-bc-docs.googleusercontent.com#173.194.117.203 doc-0k-1s-docs.googleusercontent.com#173.194.117.203 doc-14-bc-docs.googleusercontent.com#173.194.117.203 t.doc-0-0-sj.sj.googleusercontent.com173.194.117.203 feedback.googleusercontent.com173.194.117.203 images1-focus-opensocial.googleusercontent.com173.194.117.203 images2-focus-opensocial.googleusercontent.com173.194.117.203 images3-focus-opensocial.googleusercontent.com173.194.117.203 images4-focus-opensocial.googleusercontent.com173.194.117.203 images5-focus-opensocial.googleusercontent.com173.194.117.203 images6-focus-opensocial.googleusercontent.com173.194.117.203 images7-focus-opensocial.googleusercontent.com173.194.117.203 images8-focus-opensocial.googleusercontent.com173.194.117.203 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lh5.googleusercontent.com173.194.117.203 lh6.googleusercontent.com173.194.117.202 lh0.ggpht.com173.194.117.202 lh1.ggpht.com173.194.117.202 lh2.ggpht.com173.194.117.202 lh3.ggpht.com173.194.117.202 lh4.ggpht.com173.194.117.202 lh5.ggpht.com173.194.117.202 lh6.ggpht.com173.194.117.202 nt0.ggpht.com173.194.117.202 nt1.ggpht.com173.194.117.202 nt2.ggpht.com173.194.117.202 nt3.ggpht.com173.194.117.202 nt4.ggpht.com173.194.117.202 nt5.ggpht.com173.194.117.202 nt6.ggpht.com173.194.117.202 yt0.ggpht.com173.194.117.202 yt1.ggpht.com173.194.117.202 yt2.ggpht.com173.194.117.202 yt3.ggpht.com173.194.117.202 yt4.ggpht.com173.194.117.202 yt5.ggpht.com173.194.117.202 yt6.ggpht.com173.194.117.202 gm0.ggpht.com173.194.117.202 gm1.ggpht.com173.194.117.202 gm2.ggpht.com173.194.117.202 gm3.ggpht.com173.194.117.202 gm4.ggpht.com173.194.117.202 gm5.ggpht.com173.194.117.202 gm6.ggpht.com173.194.117.203 ci1.googleusercontent.com173.194.117.203 ci2.googleusercontent.com173.194.117.203 ci3.googleusercontent.com173.194.117.203 ci4.googleusercontent.com173.194.117.203 ci5.googleusercontent.com173.194.117.203 ci6.googleusercontent.com173.194.117.203 s1.googleusercontent.com173.194.117.203 s2.googleusercontent.com173.194.117.203 s3.googleusercontent.com173.194.117.203 s4.googleusercontent.com173.194.117.203 s5.googleusercontent.com173.194.117.203 s6.googleusercontent.com#Googleusercontent??#Unknow??74.125.205.113 apis.google.com74.125.205.83 mail.google.com74.125.205.102 play.google.com61.19.1.54 keep.google.com61.19.1.88 plus.google.com61.19.1.88 plus.url.google.com61.19.1.88 plusone.google.com74.125.205.138 talkgadget.google.com61.19.1.54 safebrowsing.cache.l.google.com61.19.1.54 safebrowsing.clients.google.com61.19.1.54 safebrowsing.google.com61.19.1.54 safebrowsing-cache.google.com61.19.1.54 developer.android.com61.19.1.54 market.android.com#74.125.31.121 www.chromium.org#74.125.31.121 chromium.org#74.125.31.121 codereview.chromium.org#74.125.31.121 dev.chromium.org74.125.205.94 csi.l.google.com74.125.205.120 csi.gstatic.com61.19.1.54 ssl.gstatic.com74.125.205.120 encrypted-tbn0.gstatic.com74.125.205.120 encrypted-tbn1.gstatic.com74.125.205.120 encrypted-tbn2.gstatic.com74.125.205.120 encrypted-tbn3.gstatic.com74.125.205.120 encrypted-tbn4.gstatic.com74.125.205.120 encrypted-tbn5.gstatic.com74.125.205.120 encrypted-tbn6.gstatic.com61.19.1.54 g0.gstatic.com61.19.1.54 g1.gstatic.com61.19.1.54 g2.gstatic.com61.19.1.54 g3.gstatic.com61.19.1.54 mt0.gstatic.com61.19.1.54 mt1.gstatic.com61.19.1.54 mt2.gstatic.com61.19.1.54 mt3.gstatic.com61.19.1.54 mt4.gstatic.com61.19.1.54 mt5.gstatic.com61.19.1.54 mt6.gstatic.com61.19.1.54 mt7.gstatic.com61.19.1.54 t0.gstatic.com61.19.1.54 t1.gstatic.com61.19.1.54 t2.gstatic.com61.19.1.54 t3.gstatic.com61.19.1.54 www.gstatic.com61.19.1.54 maps.gstatic.com#61.19.1.54 mobile.l.google.com#61.19.1.54 mobile-gtalk.l.google.com61.19.1.54 wallet.google.com61.19.1.54 answers.google.com61.19.1.54 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cbks3.google.com61.19.1.54 chatenabled.mail.google.com61.19.1.54 checkout.google.com61.19.1.54 checkout.l.google.com61.19.1.54 chrome.google.com61.19.1.54 code.google.com61.19.1.54 code.l.google.com61.19.1.54 desktop.google.com61.19.1.54 desktop.l.google.com61.19.1.54 desktop2.google.com61.19.1.54 developers.google.com61.19.1.54 ditu.google.com61.19.1.54 dl.google.com61.19.1.54 dl.l.google.com61.19.1.54 dl-ssl.google.com61.19.1.54 earth.google.com61.19.1.54 encrypted.google.com61.19.1.54 encrypted-tbn.l.google.com61.19.1.54 encrypted-tbn0.google.com61.19.1.54 encrypted-tbn1.google.com61.19.1.54 encrypted-tbn2.google.com61.19.1.54 encrypted-tbn3.google.com61.19.1.54 feedburner.google.com61.19.1.54 feedproxy.google.com61.19.1.54 filetransferenabled.mail.google.com61.19.1.54 finance.google.com61.19.1.54 fusion.google.com61.19.1.54 geoauth.google.com61.19.1.54 gg.google.com61.19.1.54 ghs.google.com61.19.1.54 ghs.l.google.com61.19.1.54 ghs46.google.com61.19.1.54 ghs46.l.google.com61.19.1.54 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kongdongyang
2014/9/21
NewtonPrincipia --- 公理或运动的定律 --- 系理二