Draft E of the 'Scholium Generale' Isaac Newton c. 866 words Newton Project Sussex University 2009 Newton Project, Sussex University

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 c. January 1712/3, in Latin, c. 860 words, 2pp. 2pp.

in Latin

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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="p365r" n="365r" facs="#MS-ADD-03965-012-00381.jpg"/><fw type="pag" place="topRight">365</fw><fw type="pag" place="topRight">365</fw><head rend="center" xml:id="hd1">Scholium generale.</head> <p rend="indent5" xml:id="par1">Hypothesis Vorticum multis premitur difficultatibus. Vt Planeta<del type="cancelled">rum</del> <lb xml:id="l1"/>unusquis<choice><orig></orig><reg>que</reg></choice> radio ad Solem ducto areas describat tempori proportiona<lb type="hyphenated" xml:id="l2"/>les, tempora periodica partium Vorticis deberent esse in duplicata ratione <lb xml:id="l3"/>distantiarum a Sole. Vt periodica Planetarum tempora sint in proportione <lb xml:id="l4"/>sesquiplicata distantiarum a Sole, tempora periodica partium Vorticis <lb xml:id="l5"/>deberent esse in eadem distantiarum proportione. Vt Vortices minores <lb xml:id="l6"/>circum Saturnum Iovem et alios Planetas <add indicator="yes" place="supralinear">gyrati,</add> conserventur & tranquille <lb xml:id="l7"/>natent in Vortice Solis, tempora periodica partium Vorticis solaris <lb xml:id="l8"/>deberent esse æqualia. Revolutiones Solis et Planetarum circum <lb xml:id="l9"/>axes suos, ab omnibus hisce proportionibus discrepant. Motus Cometar<choice><orig>ū</orig><reg>um</reg></choice> <lb xml:id="l10"/>sunt summe regulares, & easdem leges cum Planetarum motibus <lb xml:id="l11"/>observant, et per Vortices explicari nequeunt. Feruntur Cometæ <lb xml:id="l12"/>motibus valde excentricis in omnes c<choice><unclear reason="hand" cert="medium">œ</unclear><unclear reason="hand" cert="medium">æ</unclear></choice>lorum partes, quod fieri non <lb xml:id="l13"/>potest nisi Vortices tollantur.</p> <p rend="indent5" xml:id="par2">Projectilia in aere nostro solam aeris resistentiam sentiunt. <lb xml:id="l14"/>Sublato aere ut fit in vacuo Boyliano, resistentia cessat, siquidem <lb xml:id="l15"/>pluma tenuis & aurum solidum æquali cum velocitate in hoc vacuo <lb xml:id="l16"/>cad<del type="over">a</del><add place="over" indicator="no">u</add>nt. Et par est ratio spatiorum cœlestium quæ sunt supra <lb xml:id="l17"/>Atmosphæ<add indicator="yes" place="supralinear">r</add>am Terræ. Corpora omnia in his spatijs liberrime <lb xml:id="l18"/>moveri debent, & propterea Planetæ et Cometæ in orbibus <lb xml:id="l19"/>specie et positione datis <add indicator="yes" place="supralinear">secundum leges supra expositas</add> perpetuo revolvi. Perseverabunt <lb xml:id="l20"/>quidem in orbibus suis per leges gravitatis, sed regularem orbium <lb xml:id="l21"/><add indicator="yes" place="supralinear">situm</add> primitus acquirere per leges hasce minime potuerunt.</p> <p rend="indent5" xml:id="par3">Planetæ sex principales revolvuntur circum Solem in circulis Soli <lb xml:id="l22"/>concentricis e<del type="over">o</del><add place="over" indicator="no">a</add>dem <del type="strikethrough">ordine</del> <add indicator="yes" place="supralinear">motus directione</add> in e<del type="over">o</del><add place="over" indicator="no">a</add>dem plano quamproxime. Lunæ decem <lb xml:id="l23"/>revolvuntur circum Terram Iovem et Saturnum in circulis concentricis <lb xml:id="l24"/>eodem <del type="strikethrough">ordine</del> <add indicator="yes" place="supralinear">motus directione</add> in planis Orbium Planetarum quamproxime. Et hi omnes <lb xml:id="l25"/>motus regulares originem non habent ex causis mechanicis, siquidem <lb xml:id="l26"/>Cometæ in Orbibus valde excentricis et in omnes cœlorum partes <lb xml:id="l27"/>libere fer<del type="over">a</del><add place="over" indicator="no">u</add>ntur. <del type="cancelled">Ex</del> <del type="over">c</del><add place="over" indicator="no">C</add>onsilio et dominio solo Entis intelligentis, elegan<lb type="hyphenated" xml:id="l28"/>tissima <add indicator="yes" place="supralinear">hæcce</add> Solis et Planetarum compages oriri potuit. Et si stellæ fixæ <lb xml:id="l29"/>sint centra similium systematum, hæc omnia simili consilio constructa <lb xml:id="l30"/>suberunt <hi rend="underline"><del type="over">u</del><add indicator="no" place="over">V</add>nius</hi> dominio: præsertim &c</p> <p rend="indent5" xml:id="par4">Hic omnia regit non ut anima mundi sed ut universorum Dominus <lb xml:id="l31"/>et propter dominium suum Dominus Deus <foreign xml:lang="gre">παντκράτωρ</foreign> dici solet. <lb xml:id="l32"/>Nam <hi rend="underline">Deus</hi> est vox relativa et <add indicator="yes" place="supralinear"><del type="strikethrough">non ad corpus Dei sed</del></add> ad servos refertur, et <hi rend="underline">Deitas</hi> est dominatio <lb xml:id="l33"/>Dei <add indicator="yes" place="supralinear">non in corpus prop. sed</add> in servos. <hi rend="underline">Deus summus</hi> est Ens æternum infinitum absolute per<lb type="hyphenated" xml:id="l34"/>fectum, sed Ens utcun<choice><orig></orig><reg>que</reg></choice> perfectum <del type="strikethrough">non est Deus summus</del> sine <del type="strikethrough">vita et</del> <lb xml:id="l35"/>dominio <add indicator="yes" place="supralinear"><del type="cancelled">& ser<unclear reason="del" cert="medium">vos</unclear></del></add> non est <del type="cancelled">Deus</del> <hi rend="underline">dominus Deus</hi>. Dicimus enim <hi rend="underline">Deus meus</hi>, <hi rend="underline">Deus</hi> <del type="cancelled">vester</del> <lb xml:id="l36"/><hi rend="underline">noster</hi>, <hi rend="underline">Deus vester</hi>, <hi rend="underline">Deus Israelis<choice><unclear reason="hand" cert="high">:</unclear><unclear reason="hand" cert="low">;</unclear></choice></hi> sed non dicimus <hi rend="underline">Æternus meus</hi>, <del type="strikethrough">æternus</del> <lb xml:id="l37"/><hi rend="underline">Æternus noster</hi>, <hi rend="underline">æternus vester</hi>, <hi rend="underline">Æternus Israelis</hi>; <hi rend="underline">Infinitus meus</hi>, <hi rend="underline">Infinitus noster</hi> <lb xml:id="l38"/><hi rend="underline">Infinitus vester</hi>, <hi rend="underline">Infinitus Israelis</hi>; <hi rend="underline">Perfectus meus</hi>, <hi rend="underline">Perfectus noster</hi>, <hi rend="underline">Perfectus ve<del type="cancelled"><gap reason="illgblDel" unit="chars" extent="1"/></del>ster</hi> <lb xml:id="l39"/><hi rend="underline">Perfectus Israelis</hi>. Hæ appellationes relationem non habent ad <hi rend="underline">servos</hi>. <hi rend="underline">Domina<lb type="hyphenated" xml:id="l40"/>tio</hi> Entis spiritualis <hi rend="underline">Deum</hi> <add indicator="no" place="supralinear"><del type="strikethrough">Deitatem</del></add> constituit, vera verum, <add indicator="no" place="supralinear"><del type="strikethrough">veram</del></add> summa summum, <lb xml:id="l41"/>ficta fictum. <del type="cancelled">Ex Ex</del> <add indicator="yes" place="supralinear">Et ex</add> dominatione vera, sequitur <del type="strikethrough">quod</del> Deum verum es<del type="over">t</del><add place="over" indicator="no">s</add>e vivu<del type="over">m</del><add place="over" indicator="no">s</add> <lb xml:id="l42"/>intelligen<del type="over">s</del><add place="over" indicator="no">t<choice><orig>ē</orig><reg>em</reg></choice></add> & poten<del type="over">s</del><add place="over" indicator="no">tem</add>; ex reliquis perfectionibus, <del type="strikethrough">quod sit</del> <add indicator="yes" place="supralinear">esse summu<choice><unclear reason="del" cert="medium"><del type="over">m</del><add place="over" indicator="no">s</add></unclear><unclear reason="del" cert="medium"><del type="over">s</del><add place="over" indicator="no">m</add></unclear></choice> vel</add> summ<del type="over"><unclear reason="del" cert="high">us</unclear></del><add place="over" indicator="no">e</add> perfectu<choice><unclear reason="del" cert="high"><del type="over">m</del><add place="over" indicator="no">s</add></unclear><unclear reason="del" cert="low"><del type="over">s</del><add place="over" indicator="no">m</add></unclear></choice> <lb xml:id="l43"/><del type="strikethrough">vel Summus</del>. <hi rend="underline">Æternus</hi> est et <hi rend="underline">infinitus</hi>, id est, <hi rend="underline">durat</hi> ab æterno in ætern<choice><orig>ū</orig><reg>um</reg></choice> <lb xml:id="l44"/>et <hi rend="underline">adest</hi> ab infinito in infinitum. Cum unaquæ<choice><orig></orig><reg>que</reg></choice> spatij particula sit <fw type="catch" place="bottomRight">semper</fw><pb xml:id="p365v" n="365v" facs="#MS-ADD-03965-012-00382.jpg"/> <hi rend="underline">semper</hi>, et unumquod<choice><orig></orig><reg>que</reg></choice> durationis momentum <hi rend="underline">ubi<choice><orig></orig><reg>que</reg></choice></hi>, certe <lb xml:id="l45"/>rerum omnium Fabricator ac Dominus non erit <hi rend="underline">nun<lb type="hyphenated" xml:id="l46"/>quam nusquam</hi>. Omnipræsens est non per <hi rend="underline">virtutem</hi> <lb xml:id="l47"/>solam, sed <add indicator="yes" place="supralinear">etiam</add> per <hi rend="underline">substantiam</hi>: nam virtus sine sub<lb type="hyphenated" xml:id="l48"/>stantia subsistere non potest. In ipso <hi rend="superscript">a</hi><anchor xml:id="n365v-01"/><note place="marginLeft" target="#n365v-01">a <add indicator="yes" place="supralinear">Ita sentiebant <hi rend="underline">Veteres</hi>,</add> Act. 17.27, 28. <lb xml:id="l49"/>Deut 4.39, & 10.14. <lb xml:id="l50"/>1 King. 8.27. Iob <lb xml:id="l51"/>22.12. Psal. 139.7. <lb xml:id="l52"/>Ier. 23.23, 24.</note> continentur <lb xml:id="l53"/>et moventur universa, <del type="strikethrough">id<choice><orig></orig><reg>que</reg></choice> sine</del> <add indicator="yes" place="supralinear">sed abs<choice><orig></orig><reg>que</reg></choice> mutua</add> <hi rend="underline">passione</hi>. Deus <lb xml:id="l54"/>nihil <hi rend="underline">patitur</hi> ex corporum motibus: illa nullam <lb xml:id="l55"/><hi rend="underline">sentiunt</hi> resistentiam ex omnipræsentia Dei. Deum <lb xml:id="l56"/>summum necessario existere in confesso est, et <del type="strikethrough">hac</del> <add indicator="no" place="supralinear">eadem</add> <lb xml:id="l57"/>necessitate <hi rend="underline">semper</hi> est et <hi rend="underline">ubi<choice><orig></orig><reg>que</reg></choice></hi>. Vnde etiam totus est sui <lb xml:id="l58"/>similis, totus oculus, totus auris, totus cerebrum, totus <lb xml:id="l59"/>brachium, totus vis sentiendi intelligendi & agendi, sed <lb xml:id="l60"/>more minime humano, more minime corporeo, more <lb xml:id="l61"/>nobis prorsus incognito. Vt cæcus ideam non habet <lb xml:id="l62"/>colorum, sic nos ideam non habemus modorum quibus <lb xml:id="l63"/>Deus sentit et intelligit omnia. Corpore omni et <lb xml:id="l64"/>figura corporea prorsus destituitur, ideo<choice><orig></orig><reg>que</reg></choice> videri non <lb xml:id="l65"/>potest nec audiri nec tangi; nec sub specie rei alicujus <lb xml:id="l66"/>corporei <del type="cancelled"><gap reason="illgblDel" unit="chars" extent="1"/></del> coli debet. Ideas habemus <hi rend="underline">attributorum</hi> ejus, <lb xml:id="l67"/>sed quid sit rei alicujus <hi rend="underline">substantia</hi> minime cognoscimus. <lb xml:id="l68"/>Videmus tantum corporum figuras & colores, audimus <lb xml:id="l69"/>tantum sonos, tangimus tantum superficies internas, ol<lb type="hyphenated" xml:id="l70"/>facimus odores <add indicator="yes" place="supralinear">solos</add> & gustamus sapores; intimas substantias <lb xml:id="l71"/>nullo sensu, nulla actione reflexa cognoscimus<del type="cancelled">;</del>: & multo <lb xml:id="l72"/>minus ideam habemus substantiæ Dei. Hunc cognoscimus <lb xml:id="l73"/>solummodo per <add indicator="yes" place="supralinear">ejus</add> proprietates & attributa et <del type="strikethrough">figures</del> <add indicator="yes" place="supralinear">per elegantes & opt<supplied reason="damage" cert="medium">imas</supplied></add> rerum <lb xml:id="l74"/>structuras et causas finales.</p> <p rend="indent5" xml:id="par5">Hactenus phænomena cœlorum et maris nostri per <hi rend="underline">vim</hi> gravitatis <lb xml:id="l75"/>exposui, sed <hi rend="underline">causam</hi> gravitatis nondum assignavi. Oritur uti<choice><orig></orig><reg>que</reg></choice> <lb xml:id="l76"/>hæc vis a causa aliqua quæ penetrat ad us<choice><orig></orig><reg>que</reg></choice> centra Solis et Pla<lb type="hyphenated" xml:id="l77"/>netarum sine virtutis diminutione; quæ<choice><orig></orig><reg>que</reg></choice> agit non pro quantitate <hi rend="underline">superfi<lb type="hyphenated" xml:id="l78"/>cierum</hi> particularum in quas agit (ut solent causæ mechanicæ,) sed pro quan<lb xml:id="l79"/>titate materiæ <hi rend="underline">solidæ</hi>, et cujus actio in immensas distantias undi<choice><orig></orig><reg>que</reg></choice> extenditur <lb xml:id="l80"/>decrescendo semper in duplicata ratione distantiarum. Gravitas in Solem <lb xml:id="l81"/>componitur <add indicator="yes" place="supralinear">ex gravitatibus</add> in singulas <del type="strikethrough">gravita</del> Solis particulas, & recedendo a Sole decresci <lb xml:id="l82"/><add indicator="yes" place="supralinear">accurate</add> in duplicata ratione distantiarum ad us<choice><orig></orig><reg>que</reg></choice> orbem Saturni, ut ex quiete <lb xml:id="l83"/>Apheliorum Planetarum manifestum est; & ad us<choice><orig></orig><reg>que</reg></choice> ultima Cometarum <lb xml:id="l84"/>Aphelia, si modo Aphelia illa quiescant. <hi rend="underline">Causam</hi> vero harum gravitatis <lb xml:id="l85"/>proprietatum ex phænomenis nondum potui deducere, & <hi rend="underline"><choice><sic>hyptheses</sic><corr>hypotheses</corr></choice></hi> seu <hi rend="underline">mecha<lb type="hyphenated" xml:id="l86"/>nicas</hi> seu <hi rend="underline">qualitatum occultarum</hi> non sequor. Satis est quod gravitas <lb xml:id="l87"/>revera <del type="strikethrough">detur</del> <add indicator="yes" place="supralinear">existat,</add> et agat secundum leges a nobis expositas, & ad corporum <lb xml:id="l88"/>cœlestium et maris nostri motus omnes sufficiat.</p></div> </body> </text> </TEI>