Catalogue Entry: NATP00305

De motu Corporum Liber Secundus

Author: Isaac Newton

Source: MS Add. 3990, Cambridge University Library, Cambridge, UK

[Translation] [Normalized Text] [Diplomatic Text] [Manuscript Images]

[1] I Cælos esse fluidos.

[2] Archimedes in Arenario. Aristotelis liber 2 de cœlo. Plutarchus liber 3 de placitis Philosophorum & in Numa

[3] II Principium motus circularis in spatijs liberis.

[4] III Effectus virium centripetarum.

[5] IV Certitudo argumenti.

[6] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[7] VI Duræ consequentiæ.

[8] V Vires centripetas ad singula Planetarum centra tendere.

[9] VI Vires centripetas decrescere in duplicata ratione distantiarum a Planetarum centris.

[10] VII Planetas superiores Solem cingere & radijs ad ipsum ductis areas describere temporibus proportionales.

[11] {C. pr 9}

[12] p2

[13] VIII Vim qua Planetæ superiores reguntur non dirigi ad terram. Eandem dirigi ad Solem.

[14] 3 p.

[15] IX Vim circumsolarem per omnes Planetarum regiones decrescere in duplicata ratione distantiarum a Sole.

[16] 4

[17] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[18] X Vim circumterrestrem decrescere in duplicata ratione distantiarum a Terra. Probatur ex hypothesi quod Terra quiescit.

[19] XI Probatur ex Hypothesi quod terra movetur.

[20] XII Decrementum virium in duplicata ratione distantiarum a Terra et Planetis probatur ex Planetarum excentricitate & Apsidum motu tardissimo.

[21] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[22] XIII Quantitas virium tendentium ad singulos Planetas. Ingens vis circumsolaris.

[23] D. Prim 17

[24] XIV Exigua vis circumterrestris.

[25] 2

[26] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[27] XV Planetarum diametri apparentes

[28]

[29] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[30] XVI Correctio diametrorum apparentium

[31] p 4

[32] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[33] XVIII Cur Planetæ sint aliqui magis alij minus densi, sintque vires ut quantitas materiæ in singulis.

[34] XIX Alia virium et corporum analogia. Probatur in cœlestibus.

[35] XX Probatur in terrestribus.

[36] XXI. Analogiarum consensus.

[37] >E Prim 25

[38] XXII Et coincidentia.

[39] XXIII Insensibilis esse corporum parvorum vires

[40] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[41] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[42] XXIV Tendere tamen vires ad corpora omnia terrestria proportionales quantitati materiæ

[43] XXV Probatur easdem vires in corpora cœlestia tendere.

[44] these

[45] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[46] XXVI Decrescere vires a Planetarum superficiebus extrorsum in duplicata ratione, introrsum in ratione distantiarum a centris.

[47] XXVIII Planetas omnes circa solem revolvi.

[48] P. 8

[49] Note:The contents of this note are only visible in the diplomatic transcript because they were deleted on the original manuscript

[50] F Prim 33

[51] Finis Lectionem anni 1687

[52] Planetarum omnium commune gravitatis centrum quiescere & solem tardissimè moveri. Definitur motus Solis.

[53] Planetas nihilo minus revolvi in Ellipsibus umbilicos habentibus in Sole et radijs ad Solem ductis areas describere temporibus proportionales.

[54] De orbium dimensionibus deque motu Apheliorum et Nodorum.

[55] {Pr F}

[56] M

[57] Ex principijs allatis derivantur motus omnes Lunares hactenus ab Astronomis notati:

[58] Ut et alij nonnulli nondum observati motus inæquabiles.

[59] Et distantiæ Lunæ a terra ad tempus datum.

[60] Derivantur motus Satellitum Jovis et Saturni ex motibus Lunæ.

[61] Planetas respectu fixarum æquabili motu circum axes suos revolvi, et hunc motum ad æquationem temporis aptissimum esse.

[62] G. Prim 41

[63] Lunam pariter motu diurno circa axem suum revolvi & inde librationem ipsius oriri.

[64] De præcessione æquinoctiorum, deque motu libratorio axis telluris et Planetarum.

[65] Mare bis fluere debere et bis refluere singulis diebus, & æstum incidere in horam tertiam ab appulsu Luminaris ad meridianum loci.

[66] Æstos maximos in Syzygijs Luminarium ac Terræ, minimos in quadraturis fieri idque hora tertia ab appulsu Lunæ ad meridianum Loci: ast extra Syzygias et quadraturas deviare aliquantulum ab hora illa tertia in horam tertiam ab appulsu

[67] Majores esse æstus ubi Luminaria sunt in perigæis.

[68] Majores esse æstus circa æquinoctia.

[69] Æstus extra Æquatorem vicibus alterius majores & minores fieri.

[70] G 6

[71] Per motus impressi conservationem minui differentiam æstuum & fieri quoque ut æstus maximus menstruus sit tertius a syzygia.

[72] Motus maris impedimento alveorum retardari.

[73] H Prim 49

[74] Ex alveorum et litorum impedimentis varia oriri phænomena: ut quod mare non nisi semel intumescat diebus singulis.

[75] Philosophical Transactions Num 162. Aug 20 1684.

[76] Tempora æstum intra fluviorum alveos esse magis in æqualia quam in Oceano.

[77] Æstus a mari majore et profundiore majores oriri & majores esse ad litora Continentium quam in medio mari ad insulas, atque adhuc majores in sinubus vadosis ore lato in Oceanum patentibus.

[78] Ex Principijs allatis computatur vis Solis ad perturbandos motus Lunæ.

[79] Computatur vis Solis ad mare movendum.

[80] Computatur altitudo æstus sub æquatore ex vi Solis oriunda.

[81] {I}{J} Prim 57

[82] Computatur altitudo æstus sub parallelis ex vi Solis oriunda.

[83] P 2

[84] Ratio æstuum sub æquatore in Syzygijs et quadraturis ex vi Solis & Lunæ conjunctim.

[85] {I}{J} p 3.

[86] Computatur vis Lunæ ad æstus ciendos & altitudo aquæ inde oriunda.

[87] Has vires Solis et Lunæ vix aliter quam per æstus Maris sentiri posse.

[88] Corpus Lunare esse quasi sextuplo densius quam solare.

[89] Lunam densior{em} esse terra nostra {in} ratione 3 ad 2 {cir}citer.

[90] De Fixarum distantia

[91] K Prim. 65

[92] Cometas, quoties in conspectum veniunt esse Jove propiores, probatur ex parallaxi in longitudinem.

[93] Probatur ex parallaxi in latitudinem.

[94] Probatur aliter ex parallaxi.

[95] Ex luce capitum probatur Cometas descendere ad orbem Saturni.

[96] Ut et longè infra orbem Jovis, et quandoque infra orbem Terræ.

[97] Idem probatur ex insigni splendore caudarum in vicinia Solis.

[98] L Prim 73

[99] Probatur ex luce capitum quatenus ea cæteris paribus major est in vicinia Solis.

[100] The names of the months in Italics

[101] Idem confirmatur ex magno numero Cometarum visorum in regione Solis.

[102] Confirmatur etiam ex caudis majoribus et splendidioribus post conjunctionem capitum cum Sole quam antea.

[103] Caudas oriri ex atmosphæris Cometarum.

[104] M. Prim. 81

[105] M p 3.

[106] Aeris et vaporum immensam esse raritatem in spatijs cœlestibus: et perexiguam vaporum quantitatem ad phænomena caudarum sufficere.

[107] Quo pacto Cauda oriri possint ex atmosphæris capitum.

[108] Easdem ex his atmosphæris oriri docetur ex ipsarum varijs phænomenis.

[109] Cometas infra orbem Mercurij quandoque descendere probatur ex caudis.

[110] N Prim 89

[111] Cometas moveri in Sectionibus Conicis umbilicum habentibus in centro Solij & radijs ad centrum illud ductis areas describere temporibus proportionales.

[112] Sectiones illas Conicas esse Parabolis finitimas. Id ex velocitate Cometarum colligitur.

[113] Quanto tempore Cometæ in Trajectorijs Parabolicis percurrant orbem magnum

[114] Quo temporæ Cometæ ingrediuntur orbem magnum et egrediuntur eodem.

[115] Qua velocitate Cometæ anni 1680 orbem magnum trajecerint.

[116] Cometas hosce non fuisse duos sed unum et eundem Cometam. Quo orbe et qua velocitate hic cœlos trajecit docetur ex actius.

[117] O. Prim 197

[118] Qua velocitate Cometæ moventu{r,} doceturpluribus exemplis.

[119] 2

[120] Proponitur invent{io} Trajectoriæ Cometar{um.}

[121] In Problematis solutionem præmittuntur Lemmata.

[122] larger Character

[123] Nota ± significat + vel − ambiguè et ponitur pro signo contrario.

[124] larger Character

[125] larger

[126] P.pr 105

[127] Solvitur Problema.

© 2017 The Newton Project

Professor Rob Iliffe
Director, AHRC Newton Papers Project

Scott Mandelbrote,
Fellow & Perne librarian, Peterhouse, Cambridge

Faculty of History, George Street, Oxford, OX1 2RL - newtonproject@history.ox.ac.uk

Privacy Statement

  • University of Oxford
  • Arts and Humanities Research Council
  • JISC