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[PDF] Newtons Principia : the mathematical principles  - Red Light Robber

MATH.-STAT.

SIMISAACMIBWfOM

NEWTONSPRINCIPIA.

THE

MATHEMATICALPRINCIPLES

OF

NATURALPHILOSOPHY,

BYSIRISAACNEWTON;

TRANSLATEDINTOENGLISHBYANDREWMOTTE.

TOWHICHISADDKTV

NEWTONSSYSTEMOFTHEWORLD;

NEW-YORK

PUBLISHEDBYDANIELADEE,45LIBERTYSTREET.

p*-

TWuey*Lockwoof,Stom

16SpruceSt.N.Y.

DEDICATION.

TOTHE

TEACHERSOFTHENORMALSCHOOL

OFTHESTATEOFNEW-YORK.

GENTLEMEN!

4DEDICATION.

Constitutions,andStatuteBooks

;butalonebytherightlyculti ofgreatpower !Itisyourstofashion,andtoinform ,tosave, :you callherselfblessed.

Newtonthegreatestw

rorkofthegreatestTeacherismost respectfullydedicated.

N.W.CHITTENDEN.

INTRODUCTIONTOTHEAMERICANEDITION.

remarkablefact ;becausethenameoftheauthor,learnedwith intellectualandmoralworth ;becausetheworkiscelebrated,not tain-headofanygiventruth ;and,finally,becauseoftheearnest betteraim. andbeautifulinourlanguage. uLeplusbeaumonumentque l desesouvrages

V:INTRODUCTIONTO

calmandsecure.

THEAMERICANEDITION.Vll

ofourEducationalSystem. demands.

LIFEOF

SIEISAACNEWTON.

theearth,penetratingafarupintotheheavens ;increasinginen deavour,enlarginginendowment ;everywhereboldly,earnestly God.

10LIFEOFSIRISAACNEWTON.

sodoubtinglyhovered,lived ;livedtoavigorousmaturity,toa inthefamily :one,thattheywereofScotchextraction ;the yearsbeforethismemorablebirth. ofherownmother. tinuedforawhileunpromisingenough :studyapparentlvhadno charmsforhim ;hewasveryinattentive,andrankedlowinthe ;Isaac, withquiet,incessanttoil,tohisbooks ;hequicklypassedabove theoffendingclassmate ;yettherehestoppednot ;thestrong withreflection.

LIFEOFSIRISAVCNEWTON.11

Paperkitesheintroduced

;carefullydeterminingtheirbestform ;these windmillwaserectednearGrantham ;duringtheoperationsol mind.Histhoughtsrosetothesun ;and,bycarefulandoft-re forthehourofthedaybythecountrypeople.

12LIFEOFSIRISAACNEWTON.

lentlyconquering. wasskilledalso,inpoeticalcomposition, "excelledinmaking verses ried kindness.

In1656,Newtonsmotherwasagainleftawidowr

,andtook ;butshe,

LIFEOFSIRISAACNEWTON,13

field ;andthus gottenwiththerapidityofintuition

14LIFEOFSIRISAACNEWTON

gestionsmadebyhim ;buttheywerenotpublishedtill1669. andimmortalityuponhisownname. ofFluxions, ;amongthe hoursofhispredecessors :withahigherpower,Newtonmoved

LIFEOFSIRISAACNEWTON.15

ruthsinMathematicsandAstronomy :andthatwasofitself

Science.

;andcon oftheriverWitham ;andhereinthequiethomeofhisboyhood, 2

16LIFEOFSIRISAACNEWTON.

blegraves. inmeditation.Hewasaslightyoungman ;inthetwenty-fourth wondersoftheuniverse. :maynot :andfurthei

LIFEOFSIRISAACNEWTON.17

18LIFEOFSIRISAACNEWTON.

andcausedsciencetomakethemherown.

In1667,NewtonwasmadeaJuniorFellow

;and,intheyear fortytimes allusiontohisdiscoveries adrawinganddescriptionofitwassenttoParis ;andthetele- serviceinthecauseofscience. Thus:

LIFEOFSIRISAACNEWTON.19

thembenewtoyou,theymayexcusetherest ;ifnoneatall, ;and ingtoapproveandcommendwhattheylike ;butbewareo

20LIFEOFSIRISAACNEWTON.

onlyargueatravellersweakness. ;andifyou commoditiesofplaces.

LIFEOFSIRISAACNEWTON,21

thinkpolishingthemtoo ;perhapsitwillbeworththewhiletosee outthelongitude,&c. you." edofthework ;tookacopyofit ;andsenttheoriginalback <LIFEOFSIRISAACNEWTON.

France,HollandandItaly.

thevacantchair. fromthe :that thesesevencolours. "Iwas

LIFEOFSIRISAACNEWTON.23

7

ProfessorofMathematicsinCambridge.

hequeried <LIFEOFSIRISAACNEWTON. andfieverrenewed. largetoreflectthelightwhichis "stoppedorstifled

7bythe

transmittedorabsorbed.

UFEOFSIRISAACNEWTON.25

;the thrownoff]orreflectedfromit ;if,inaFitofEasyTransmission, "grossbodies andlight,wereconvertibleintooneanother ;"thattheparticlesof other

26LIFEOFSIRS.\AC1SEWTON.

permanentlyresumed "Bythe muscles."This " fromthethoughtofNewton ;butwasitnot,onhispart,apar orprimaryelement,bymeansofwhich, "intheroaringloomof wovenforus? succeededinre-producingthesamephenomena.

LIFEOF.SIRISAACNEWTON.27

ofopinion virtue tideswhosevirtueisstillweaker ;andsoonfordiverssucces tude." studentofthewritingsofJacobBehmen ;andthatinconjunction tincture.

2SLIFEOFSIRISAACNEWTON.

researches.Thus: mannerwasthis ;Ilookedaverylittlewhileuponthesuninthe thesun whileuponit fancyuponit

LIFEOFSIRISAACNEWTON.29

norread lookedupon." J

30LIFEOFSIRISAACNEWTON.

squareofthedistance,wasledtodiscover "thetheorembj whichheafterwardsexaminedtheellipsisquotesdbs_dbs28.pdfusesText_34