Theoria philosophiae naturalis

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P A R S P R I M A . 7 afyjnptoticum, qui nimirum ad partes B D , fi indefinite producatur ultra, quoscunque limites, fernper magis accedit ad je - dam A B . productam ultraquoscunque limites, quin unquam ad eandem deveniat; hinc vero versus DE perpetuo recedit ab «adem reda, immo etiam perpetuo versus V ab eadem recedunt arcus reliqui omn^s, quin uspiam Tecelsus mutetur in accefsurn. Ad axem C C perpertio primum accedit , donec ad ipsum deveniat alicubi in E ; tum «odern ibi sedo progreditur-, & ab ipso perpetuo recedit usque ad quandam diftanxiam F , poft -quam recefliun in* acceflfum mutat, & iterum ipsum axem fecat in G , ac flexibus continuis contorquetur «irca ipsum, quem pariter secat in pundis quamplurimis , sed paucas admodum ejusmodi sediones figura exhibet, uti I , L , N , P , R. Demum is arcus definit in alterum crus TpsV, jacens ex parte opposita axis relpedu primi cruris,- quod alterum crus ipsum habet axem pro asymptoto, & ad ipsum accedit ad fenUim ita , ut diltantus ab ipso fiat in Tatione reciproca duplicata diftantiarum a reda B \ . _ 13. Si ex quovis axis pundo a , 4 , erigatur usque ad curvam reda ipsi perpendicularis ag, br,
8 T H E O R I A rertrattando- bus ordinatis vsy op, b t, a g ex parte attradiva, ut idcirco ria! i» nulk habeatur mutatio e pofitivo in negativum,ex attractione " in repulfionem, vel vice versa; caeterum utraque per dudum exponitur curvae continua habentis duo crura infinita asymptotica in ramis singulis utrinque in infinitum produdis. Ex nujusmodi autem virium lege, & ex &lis principiis Mechanicis notiflimis, nimirum quod ex pluribus viribus, vel motibus componatur vis , vel motus quidam ope parallelogrammorum , ' quorum latera exprimant vires, vel motus componentes, & quod vires ejusmodi in pundis fingulis, tempufculis smgulis aequalibus, inducant velocitates, vel motus proportionales fib i, omnes mihi profluunt generales, & pracipuae quaeque particulares proprietates corporum, uti etiam superius innui, nec ■ ad singulares proprietates derivandas in genere affirmo, eas ha-* beri per diversam combinationem, sed combinaciones ipsas e volvo, & geometrice demonftro, quae e quibus combimtioni- - bus phaenomena, & corporum fpecies oriri debeant. Verum antequam ea evolvo in parte secunda, & tertia, oftendam in haCsprima, qua via, & quibus pofirivis rationibus ad eam virium legem devenerim , & qua ratione illam elementorum materiae fimplicitatem eruerim , tum , quae difficultatem aliquam videantur habere polle, diffolvam. occafio in ve- i
Page 1 and 2: THEORIA PHILOSOPHIAE NATURALIS REDA
Page 3 and 4: IV Haec omniame permoverant jam ab
Page 5 and 6: VI ante aliquot annos in Parisiensi
Page 7 and 8: VI11 atqueidipsum inprimis adjectum
Page 9 and 10: sapene videantur , cum et omnem ani
Page 11 and 12: xl 1 . - . me decet: tum ipsius arg
Page 13 and 14: xIv omnia materia punSia vim quanda
Page 15 and 16: I x v f „ qualitates, quae ex fpe
Page 17 and 18: II xvlII _ ___ per multas vices , d
Page 19 and 20: xk meris casus evolvo quosdam binar
Page 21 and 22: XXII tem divisibilem , et extensam
Page 23 and 24: 12I x k iv a repulsivis ad attracti
Page 25 and 26: x x v i ut puncta inextensa, et a s
Page 27 and 28: XXVIII - binis numeris casum evolvo
Page 29 and 30: x x x om nia, ubi plura itidem expl
Page 31 and 32: XXX i I a num. 348 ad sinem liujus
Page 33 and 34: sequor earum discrimina : ostendo n
Page 35 and 36: xxxvI num generibus ; 465 : deflagr
Page 37 and 38: « X X Y U l I N D E X. ■• . .
Page 39 and 40: ^ I N D E X . ’ De sono - . - - -
Page 41 and 42: a T H E O R I / E peculiaribus quib
Page 43 and 44: 4 T H E O R I A , quod quidem ipsa
Page 45: 4 T H E O R I A da cuivis velocitat
Page 49 and 50: ,0 T H- E O R I i£ compreflione pa
Page 51 and 52: 12 T H E O R I S . Motum paffim 2
Page 53 and 54: 14 T H E O R I I rum magnum ? & par
Page 55 and 56: Proponiturpro. 16 T H E O R I JE
Page 57 and 58: 18 T H E O R I A „ rac legibus ft
Page 59 and 60: 20 T H E O R I A simili* ad 43. Eod
Page 61 and 62: ** T H E O R I JE omnes intermedias
Page 63 and 64: 24 T H E O R I JE mni ftatu carere
Page 65 and 66: i* T H E O R I JE ,, habet, feries
Page 67 and 68: a8 T H E O R I J E Afi* v****. 61.
Page 69 and 70: 30 T H E O R I m. nationem , quam e
Page 71 and 72: 52 . T H E O R 'I 1E in omnibus dif
Page 73 and 74: 34 T H E O R I A dunt errores Jovis
Page 75 and 76: 36 T H E O R I A ticus poftremus, c
Page 77 and 78: 38 T H E O R I i E An elementa j??.
Page 79 and 80: 40 T H E O R I B pundum spatii ne c
Page 81 and 82: 42 T H E O R I A evincit squalis ve
Page 83 and 84: 44 T H E O R I A E sunt in Mundo, c
Page 85 and 86: 4« , T H E O R I A Viderldum jam f
Page 87 and 88: 4* T H E O I A im usque ad eam dete
Page 89 and 90: 50 T H E O R I B enim fiogulis ejus
Page 91 and 92: 5* T H E O R I A E , rum. genere un
Page 93 and 94: 54 T H E O R I J E cur viri m »19*
Page 95 and 96: 55 • T H E O R I 'JE pro ipsa pen
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T H ‘ E o R I £ objefMo ** 127.
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6o T H E O R I A ide» «stte«l!o-
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6t T H E O R I JE invicem contiguas
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T H E O R I A / imaginarium tantumm
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66 T H E O R I JE continuis nuf-con
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6% T H E O R I i tranfitu per inten
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70 T H E O R I £ , pagetur. Nam fi
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7* T H E O R I A E Ego quidem in ip
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74 T H E O R I A E primas habitas t
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76 ' T H E O R I JB conftat? Quo pa
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7S T H E O R I i E nuAp us J*nter-
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80 T H E O R I B Iri pmvHm*: pofle
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fe T H E O R I JE rmn percurfo- »9
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S4 T H E O R I J E &»efpe£itlori,
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8
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88 T h E O R I m. velocitati, qux s
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9o T H E O R I J E .. in refla, qua
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T H E O R I I ?* fkeccffomalte- aoj
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94 T H E O -R I £ alteram O P , &
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$6 T H E O R I A Mirum autem, quant
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98 T H E O R I A posita ex omnibus
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100 T H E O R I A E generalem conft
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icz T H E O R I iE ad intervallum a
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10+ T H E O R I /£ ponent diredam
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106 T H E O R I A t& ifmftmfldireai
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jo 8 ' T H ’ B '(T R 1 d E " ' lo
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Fig. no T H E O R I JE vis, qua ips
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xix T H E O R I JB " tate non pende
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TI4 T H E O R I A E diftanmram sapr
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II6 T H E O R I I fiens itidem per
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IIS T H E O R I JE EC.D, B C G ,& C
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tio T H E O R I M similis diffi- 15
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m T H E O R T JE -Concipiamus vires
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124 T H E O R I A E dum non jacenti
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126 T H E O R 1 I. aam fi figura «
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fi ponatur efle 1 ad r, ut fit sati
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*3® T H E O R I I - ' + G t & Q, e
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I3* T H E O R I JE '" ' mn immoti-
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i ; 4 T H E O R I A repulfivs agant
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13
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ij8 T H E O R I A E in mea Theoria,
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r i4o , T H E O R I JE etiam poflet
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14* T H E O R I I plana incurvabitu
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t44 T H E O R I A E ‘ dirediones
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tiffima. i46 T H E O R I JB nim iru
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I48 T H E O R I A in ratione recipr
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150 T E O R r JE Qui motus, ubi JH
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152 T H E O R I A Thoriam e*. 32^*
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IS4 T H E O R I A E initiumappli- -
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T H E O R I A tentrum illu d ,. quo
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15 8 T H E O R I JE ,A X.A P ir - f
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• 16o T H O R I & nulla vis exter
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T H E O R I A repulfivus, recedens
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T H E O R I A PARS III. Applicatio
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166 T H E O R I A asymptoti ejufino
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,«58 T H E O R I B citas ipsa adhu
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t7a T H E O R I AE 'fis, & vaoio fp
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Xjt T H E O R I JE loci, ac tempori
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i 74 .T ‘H- E O R I JE - illarn c
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' i 76 T H E O R I A E evinco, casu
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t jZ T H E O R I JE omnino ab ani.
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- i8o T H E . O R I & ria pro divis
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IS 2 T fi E O R I AE virium, qux so
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,84 T H E o R I m faoc summam viriu
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i8 6 T H E O R I & itidem, in qua c
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,88 T H E O R I A fionis, juxta num
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i9o T H E O R I I aa fe invittmbus
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I92 T H E O R I iE poflet inscribi
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194 T H E O R I A cultas in avellen
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194 T H E O R I A E unde bcife 428.
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19« T H E O R I fe debeat totus fk
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200 T H E O R I JE velut in plumbo.
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202 T H E O R I m dem plurima expli
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ao4 T H E O R I A . moveatur corpus
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a06 T ' H E O R I JE perius num. 43
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208 t h E O R I t «uiJ fint .* diC
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210 T H E O R I m qypd pertinet ad
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2 i i T H E O R I E fifti a primo e
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*x4 . T H E O R I I progredior ad a
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II6 T H E O R i ' m . . . ... cula
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aiS T H E O R I m ia diverfis color
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110 T H E O R I A ubi jam deventum
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22» T H E O R I A E & {umma ejuftn
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in lumine non n o r . Porro omnes h
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22(5 T H E O R I A iu?msequatur dif
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etiam ; omnes illi motus ab interni
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J j o T H E O R I JE dtfpo&ione puf
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*32 T M E O R .I B uiunt prorfus in
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234 T H E O R I A , geretur: &t quo
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^ j 6 T H E O R I A dari vi repulfi
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a38 T H E O R I JE catu r, & tam ip
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»4» T H E O R I JE «plicari & el
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241 T H E O R I A tffe difcrimenni^
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244 T H E O R I iE combinationum nu
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246 t h e o r i m • priori(«tuee
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2*4 APPENDIX Ad Metaphysicam pertin
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350 A P P E N D I X sj ea brutis 52
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252 A P P E N D I X mae voluntate p
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254 A P P E N D I X plex, adhuc tam
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25* A P P E N D I X menfo c&nibi- b
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238 A P P E N D I X aliquod punflum
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260 ' A P P E N D I X w e hieoceur.
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262 A P P E N D I X efle poifibl* O
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z 6 i, . SUPPLEMENTA. ' " ' . s- i
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%66 S U P P L E M Ii N T A . §. L
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i 6$ S U P P L E M E N T A , j.L pl
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2JO 'SUPPLEMENTA. §. ‘I. finite
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i 72 SUPPLEMENTA» §. I. . tus evi
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274 SUPPLEMENTA, § .I L & omnium ,
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27
Page 317 and 318:
gebitur in infinitum ita , ut evada
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280 S U P P L E M E N T A §. III.
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282 SU PPLEM EN TA §. Iir ^ «ut*
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284 SU PPLE M E N TA §. IIL *' fg
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2U SUPPLEMENTA $. irr. unitate. At
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w nonpotuif. 288 S U P P L E M E N
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29
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292 SUPPLEMENTA. §. IV. dem in alt
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294 S U P P L E M E N T A . $. V. n
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x96 SU PPLEM EN TA, f . V . nium in
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29$ E P I S T O L A trarise, evanes
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• 300 E P I S T O L A «jutu invc
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302 E P I S T O L A illi manenti im
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3o4 * P I S T O L A . Deduftio C*.
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3o
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3oS E P I S T O L A tmpatium , adeo
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j i o E P I S T O L A valor manet i
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CATALOGUS O P E R U M P. ROGERII JO
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D e Inaequalitate gravitatis in div
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. In Monumentis Acad. Bonenienfis.
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Pro Benedicto X IV . P . M . SOteri
Page 359 and 360:
ftt: Gitbl dcnl r.’
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t f l b . T r r .
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Theoria philosophiae naturalis

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