Draft D of the 'Scholium Generale' Isaac Newton c. 1,004 words Newton Project Sussex University 2009 Newton Project, Sussex University

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 c. January 1712/3, in Latin, c. 1,014 words, 2pp. 2pp.

in Latin

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xml:id="MS-ADD-03965-012-00377.jpg" url="MS-ADD-03965-012-00377.jpg" n="363r"/> <graphic xml:id="MS-ADD-03965-012-00378.jpg" url="MS-ADD-03965-012-00378.jpg" n="363v"/> <graphic xml:id="MS-ADD-03965-012-00379.jpg" url="MS-ADD-03965-012-00379.jpg" n="364r"/> <graphic xml:id="MS-ADD-03965-012-00380.jpg" url="MS-ADD-03965-012-00380.jpg" n="364v"/> <graphic xml:id="MS-ADD-03965-012-00381.jpg" url="MS-ADD-03965-012-00381.jpg" n="365r"/> <graphic xml:id="MS-ADD-03965-012-00382.jpg" url="MS-ADD-03965-012-00382.jpg" n="365v"/> <graphic xml:id="MS-ADD-03965-012-00383.jpg" url="MS-ADD-03965-012-00383.jpg" n="366r"/> <graphic xml:id="MS-ADD-03965-012-00384.jpg" url="MS-ADD-03965-012-00384.jpg" n="366v"/> </facsimile> <text> <body> <div><pb xml:id="p363r" n="363r" facs="#MS-ADD-03965-012-00377.jpg"/><fw type="pag" place="topRight">363</fw><head rend="center" xml:id="hd1">Scholium generale</head> <p rend="indent5" xml:id="par1">Hypothesis Vorticum multis premitur difficultatibus. Vt Planeta <lb xml:id="l1"/>unusquis<choice><orig></orig><reg>que</reg></choice> radio ad Solem ducto areas describat tempori proportionales, <lb xml:id="l2"/>tempora periodica partium Vorticis deberent esse in duplicata ratione <lb xml:id="l3"/>distantiarum a Sole. Vt periodica Planetarum tempora sint in <lb xml:id="l4"/>proportione sesquiplicata distantiarum a Sole, tempora periodica <lb xml:id="l5"/>partium Vorticis deberent esse in eadem distantiarum proportione. <lb xml:id="l6"/>Vt Vortices <add indicator="yes" place="supralinear">minores</add> <del type="strikethrough">Lunarum</del> <add indicator="yes" place="supralinear"><del type="strikethrough">in circuitu Planetas</del> circum Saturnum Iovem et alios Planetas conserventur</add> <del type="strikethrough">conserventur, data lege perpetuo revolvantur</del> <lb xml:id="l7"/>& <del type="strikethrough">in hunc finem</del> tranquille natent in vortice <del type="strikethrough">primario,</del> <add indicator="no" place="supralinear">Solari</add> tempora <lb xml:id="l8"/>periodica partium Vorticis <del type="strikethrough">primarij</del> <add indicator="no" place="supralinear">Solaris</add> deberent esse æqualia. Re<lb type="hyphenated" xml:id="l9"/>volutiones Solis & Planetarum circum axes suos ab omnibus hisce <lb xml:id="l10"/>proportionibus discrepant. Motus Cometarum sunt summe re<lb type="hyphenated" xml:id="l11"/>gulares, et easdem leges cum Planetarum motibus observant, et <lb xml:id="l12"/>per Vortices explicari nequeunt. Feruntur Cometæ <add indicator="yes" place="supralinear">motibus valde excentricis</add> in omnes cœlorum <lb xml:id="l13"/>partes; quod fieri non potest nisi Vortices tollantur.</p> <p rend="indent5" xml:id="par2">Projectilia in aere nostro solam <add indicator="yes" place="supralinear">aeris</add> <del type="strikethrough">sentiunt</del> resistentiam <del type="cancelled">aeris</del> <add indicator="no" place="supralinear">sentiunt</add>. Sublato <lb xml:id="l14"/>aere, ut fit in vacuo Boyliano, resistentia cessat, siquidem pluma tenuis <lb xml:id="l15"/>& aurum <add indicator="yes" place="supralinear">solidum</add> æquali cum velocitate in hoc vacuo cadant. Et par est ratio <lb xml:id="l16"/>spatiorum cœlestium quæ sunt supra A<del type="over">p</del><add indicator="no" place="over">t</add>mosphæram Terræ. Corpora <lb xml:id="l17"/>omnia in his spatijs liberrime moveri debent, et propterea Planetæ <lb xml:id="l18"/>et Cometæ in orbibus <del type="strikethrough">suis</del> <add indicator="yes" place="supralinear">specie et positione datis perpetuo</add> revolvi. Perseverabunt quidem in <del type="strikethrough">motibus</del> <add indicator="no" place="supralinear">orbibus</add> <lb xml:id="l19"/>suis <add indicator="yes" place="supralinear">moveri</add> per leges gravitatis, sed <del type="strikethrough">motus suos</del> <add indicator="yes" place="supralinear">regularem orbium situm</add> <del type="over">per</del><add place="over" indicator="no">pri</add>mitus acquirere per leges <lb xml:id="l20"/>hasce <add indicator="no" place="supralinear"><del type="strikethrough">naturæ</del></add> minime potuerunt.</p> <p rend="indent5" xml:id="par3">Planetæ sex principales revoluntur circum Solem in circulis <lb xml:id="l21"/>Soli concentricis eodem ordine in eodem plano quamproxime. <add indicator="yes" place="interlinear"><del type="strikethrough">Excentricitates enim perparvæ sunt & ab attractionibus Cometarum transeuntium paulum oriri potuerunt.</del></add> Lunæ <lb xml:id="l22"/>decem revolvuntur circum Terram Iovem & Saturnum in circulis <lb xml:id="l23"/>concentricis eodem ordine in planis Orbium Planetarum <del type="cancelled"><gap reason="illgblDel" unit="words" extent="1"/></del> <lb xml:id="l24"/>quamproxime. Et hi <add indicator="yes" place="supralinear">omnis motus</add> <del type="strikethrough">motus non sunt</del> <add indicator="yes" place="supralinear">regulares originem non habent <del type="cancelled"><gap reason="illgblDel" unit="words" extent="2"/></del></add> ex causis mechanicis, <del type="strikethrough">facti<add place="supralinear" indicator="no"><del type="cancelled">1</del></add> <lb xml:id="l25"/>regulares</del><add place="supralinear" indicator="no">2</add>, siquidem Cometæ in Orbibus valde excentricis & in onmes <lb xml:id="l26"/>cœlorum partes libere ferantur. Ex consilio et dominio solo Entis <lb xml:id="l27"/>intelligentis <del type="strikethrough">oriri potuit</del> elegantissima hæcce Solis & Planetarum <lb xml:id="l28"/>compages <add indicator="yes" place="supralinear">oriri potuit</add>. Et si Stellæ fixæ sint centra similium systematum <lb xml:id="l29"/><del type="strikethrough">subsunt</del> hæc omnia <add indicator="yes" place="supralinear">simili consilio constructa <del type="strikethrough">suberunt</del> sub<del type="strikethrough"><unclear reason="del" cert="high">dit</unclear><gap reason="illgblDel" unit="chars" extent="2"/></del>erunt</add> unius dominio.</p> <p rend="indent5" xml:id="par4">Hic omnia regit non ut anima mundi sed ut universorum <lb xml:id="l30"/>Dominus: <del type="strikethrough">corpus enim non habet, nec mundus universus vivit ut animal <lb xml:id="l31"/>sed a <add indicator="yes" place="supralinear">Deo</add> vivente regitur et ordinatum <add indicator="no" place="supralinear"><unclear reason="del" cert="high">perinde</unclear> ut <choice><unclear reason="del" cert="medium">Do</unclear><unclear reason="del" cert="medium">De</unclear></choice></add> Deus <unclear reason="del" cert="medium">espim</unclear></del> Et propter dominium suum, <lb xml:id="l32"/><del type="cancelled">&</del> Dominus Deus <foreign xml:lang="gre">παντοκράτωρ</foreign> dici solet <add indicator="yes" place="interlinear">Nam Deus est vox relativa et ad servos refertur & <del type="cancelled">sine</del> Ens <add place="supralinear" indicator="no">ut <unclear reason="hand" cert="medium">un</unclear></add> perfectissimum <del type="cancelled"><gap reason="illgblDel" unit="chars" extent="2"/></del> sine dominio <del type="strikethrough">Deus</del> non est Dominus Deus.</add>. Æternus est <del type="over"><unclear reason="del" cert="medium">in</unclear></del><add place="over" indicator="no">et</add> infinitus id est <lb xml:id="l33"/>durat ab æterno in æternum & adest ab infinito in infinitum. Cum <lb xml:id="l34"/>unaquæ<choice><orig></orig><reg>que</reg></choice> Spatij particula sit semper & unamquod<choice><orig></orig><reg>que</reg></choice> durationis <lb xml:id="l35"/>momentum ubi<choice><orig></orig><reg>que</reg></choice>, certe <del type="strikethrough">Deus</del> <add indicator="yes" place="supralinear">rerum omnium fabricator ac Dominus</add> non erit nunquam nusquam. <lb xml:id="l36"/>Omnipræsens est non per virtutem solam sed <del type="cancelled">per</del> etiam per <lb xml:id="l37"/>substantiam: nam virtus sine substantia subsistere non potest. <lb xml:id="l38"/>In ipso <hi rend="superscript">a</hi><anchor xml:id="n363r-01"/><note place="marginRight" target="#n363r-01">a Act. 17.27, <lb xml:id="l39"/>28. Deut 4.39. <lb xml:id="l40"/>& 10.14. 1 King. <lb xml:id="l41"/>8.27. Iob. 22. 12. <lb xml:id="l42"/>Psal. 139.7. Ier. <lb xml:id="l43"/>23.23, 24.</note> continentur et moventur universa id<choice><orig></orig><reg>que</reg></choice> sine <del type="cancelled">passione</del> <lb xml:id="l44"/>passione. Deus nihil patitur ex corporum motibus: illa <lb xml:id="l45"/>nullam sentiunt resistentiam ex omnipræsentia Dei. <lb xml:id="l46"/><add indicator="yes" place="supralinear">Necessario existit et</add> Eadem necessitate <add indicator="yes" place="supralinear"><del type="strikethrough"><gap reason="illgblDel" unit="words" extent="1"/> et idem Deus idem est <del type="cancelled">est</del></del> est idem <del type="cancelled"><gap reason="illgblDel" unit="chars" extent="2"/></del> Ideo<choice><orig></orig><reg>que</reg></choice></add> <del type="strikethrough">idem est</del> semper et ubi<choice><orig></orig><reg>que</reg></choice>. Totus <add indicator="yes" place="supralinear">est</add> sui <lb xml:id="l47"/>similis, totus oculus, totus auris, totus cerebrum, totus <fw type="catch" place="bottomRight">brachium,</fw><pb xml:id="p363v" n="363v" facs="#MS-ADD-03965-012-00378.jpg"/> brachium, totus vis sentiendi intelligendi et agendi, sed more <lb xml:id="l48"/>minime humano, more minime corporeo, more nobis <lb xml:id="l49"/>prorsus incognito. <add place="supralinear" indicator="no"><seg rend="ns" rendition="ns">☉</seg></add><addSpan spanTo="#addend363v-01" place="p363v-lower" startDescription="lower down f 363v" endDescription="higher up f 363v" resp="#mjh"/> <seg rend="ns" rendition="ns">☉</seg> Vt cæcus ideam non habet colorum sic nos ideam non habemus modorum <lb xml:id="l50"/>quibus Deus sentit et intelligit omnia. Corpore omni <del type="strikethrough">prorsus destituitur</del> & <lb xml:id="l51"/>figura corporea prorsus destituitur, ideo<choice><orig></orig><reg>que</reg></choice> nec videri potest nec audiri nec <lb xml:id="l52"/>tangi nec sub specie rei alicujus <add indicator="yes" place="supralinear">corporei</add> coli debet.<anchor xml:id="addend363v-01"/> <del type="strikethrough">Et cum</del> <add indicator="yes" place="supralinear"><del type="strikethrough">Deus<unclear reason="del" cert="high">s hinc</unclear></del> summus</add> Corpore omni & figura <add indicator="yes" place="supralinear"><del type="strikethrough"><unclear reason="del" cert="low">non</unclear>i</del></add> corporea <lb xml:id="l53"/>prorsus destituitur, <add indicator="yes" place="supralinear">b<anchor xml:id="n363v-01"/><note place="marginLeft" target="#n363v-01">b Iohn 1.18 & 5.37. <lb xml:id="l54"/>Col. 1.15. 1 Tim. <lb xml:id="l55"/>1.17 & 6.16. <lb xml:id="l56"/>1 Iohn 4.12.</note> <unclear reason="hand" cert="medium">ideo<choice><orig></orig><reg>que</reg></choice></unclear></add> videri non potest nec audiri nec tangi, <lb xml:id="l57"/>nec sub specie rei alicujus corporei coli debet.</p> <p rend="indent5" xml:id="par5">Hactenus phænomena cœlorum & maris nostri per vim <lb xml:id="l58"/>gravitatis exposui, sed causam gravitatis <del type="strikethrough">ex prænomenis <lb xml:id="l59"/>nondum potui deducare</del> nondum <del type="cancelled"><gap reason="illgblDel" unit="chars" extent="1"/></del> assignavi. Oritur uti<choice><orig></orig><reg>que</reg></choice> <lb xml:id="l60"/>hæc vis ex causa aliqua quæ penetrat ad us<choice><orig></orig><reg>que</reg></choice> centra Solis <lb xml:id="l61"/>& Planetarum sine virtutis diminutione, quæ<choice><orig></orig><reg>que</reg></choice> agit non <lb xml:id="l62"/>pro quantitate superficierum particularum in quas agit <lb xml:id="l63"/>(ut solent causæ mechanicæ) sed pro quantitate materiæ <lb xml:id="l64"/>solidæ & cujus actio in immensas distantias undi<choice><orig></orig><reg>que</reg></choice> ex<lb type="hyphenated" xml:id="l65"/>tenditur decrescendo semper in duplicata ratione distan<lb type="hyphenated" xml:id="l66"/>tiarum. Gravitas in Solem componitur ex gravitatibus <lb xml:id="l67"/>in singulas Solis particulas et recedendo a Sole decrescit <lb xml:id="l68"/>in duplicata ratione distantiarum a Sole ad <add indicator="yes" place="supralinear">us<choice><orig></orig><reg>que</reg></choice></add> orbem <del type="cancelled"><gap reason="illgblDel" unit="chars" extent="2"/>us<choice><orig></orig><reg>que</reg></choice></del> <lb xml:id="l69"/>Saturni, ut ex quiete Apheliorum <del type="strikethrough">Saturni</del> Planetarum <lb xml:id="l70"/>manifestum est, & ad us<choice><orig></orig><reg>que</reg></choice> <add indicator="yes" place="supralinear">ultima</add> <del type="strikethrough">Aphelia</del> Cometarum <add indicator="yes" place="supralinear">Aphelia</add> si modo <lb xml:id="l71"/>Aphelia illa quiescant. Causam vero harum gravitatis <lb xml:id="l72"/>proprietatum ex phænomenis nondum potui deducere: <del type="strikethrough">Non</del> <add indicator="no" place="supralinear">et</add> <lb xml:id="l73"/>hypotheses seu mechanicas seu qualitatum occultarum non <lb xml:id="l74"/><del type="strikethrough"><unclear reason="del" cert="medium">fingo</unclear>.</del> <add indicator="no" place="supralinear">sequor.</add> Satis est quod gravitas revera detur et agat <lb xml:id="l75"/>secundum leges a nobis expositas, & ad corporum cœlestium <lb xml:id="l76"/>et maris nostri motus omnes sufficiat.</p> <space dim="vertical" unit="lines" extent="10"/> <p rend="indent5" xml:id="par6">Nam Deus est vox relativa et ad servos refertur & Deitas est dominatio <lb xml:id="l77"/>Dei in servos. Deus summus est Ens <del type="cancelled">per</del> <add indicator="no" place="supralinear">æternum, infinitum, <del type="strikethrough">vivum</del></add> absolute perfectum, sed Ens utcun<choice><orig></orig><reg>que</reg></choice> perfect<choice><orig>ū</orig><reg>um</reg></choice> <lb xml:id="l78"/>sine <add indicator="yes" place="supralinear">vita et</add> dominio non est <add indicator="yes" place="supralinear">Dominus</add> Deus. Dicimus enim <add indicator="yes" place="supralinear">Deus meus</add> Deus noster Deus vester, Deus Israelis, <lb xml:id="l79"/>sed non dicimus <del type="strikethrough">per Ens absolute perfectum <add indicator="yes" place="supralinear">meum, Ens absolute perfectum</add> nostrum, Ens absolute perfectum vestrum <lb xml:id="l80"/>Ens absolute perfectum Israelis;</del> Æternus <add indicator="yes" place="supralinear">meus, Æternus</add> noster, <del type="cancelled"><gap reason="illgblDel" unit="chars" extent="2"/></del> Æternus vester, æternus Israelis. <lb xml:id="l81"/>Infinitus meus, infinitus noster, infinitus vester, infinitus Israelis, <del type="strikethrough">Ens absolute per<lb xml:id="l82"/>fectum <del type="cancelled"><gap reason="illgblDel" unit="chars" extent="1"/></del> meum, Ens absolute perfectum nostrum, vestrum, Israelis. Dominatio entis <lb xml:id="l83"/><unclear reason="del" cert="low">spiritualis</unclear> Deum cæteræ perfectionis Deum summum constituunt. Et Dominatio <add place="supralinear" indicator="yes">quidem</add> vero <lb xml:id="l84"/>Deum verum <unclear reason="del" cert="medium">facitur</unclear> <add place="supralinear" indicator="no">facit</add>, dominatio <del type="cancelled">falsa</del> <add place="supralinear" indicator="no">vero conficta</add> Deum falsum. Per dominati Ex dominatione <lb xml:id="l85"/><add place="supralinear" indicator="yes">vero</add> sequitur quod Deus sit vivus & intelligens & potens</del> <add indicator="no" place="interlinear">perfectus meus perfectus noster perfectus <del type="strikethrough">noster</del> vester perfectus <del type="strikethrough"><gap reason="illgblDel" unit="chars" extent="4"/></del> Israelis Hæ appellationes relationem non habent ad <del type="strikethrough">dominium</del> servos.</add> Dominatio Entis spiritualis <lb xml:id="l86"/>Deum <del type="strikethrough">verum</del> constituit, vera verum <add indicator="yes" place="supralinear"><del type="strikethrough">summa summum æterna æternum infinita infinitum</del> summa</add> <del type="strikethrough">ficta falsum.</del> <lb xml:id="l87"/>summum, ficta falsum. <del type="cancelled">Et</del> Ex dominatione vera sequitur quod Deus verus sit vivus <lb xml:id="l88"/>intelligens & potens, ex reliquis <del type="strikethrough">autem</del> perfectionibus quod sit summus vel <lb xml:id="l89"/>summe perfectús. Æternus est et infinitus, id est durat ab æterno in æternum <lb xml:id="l90"/>at adest ab infinito in infinitum.</p> </div> </body> </text> </TEI>