Theoria philosophiae naturalis

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AD P« SCHERFFER, 30I 103. Quod attinet ad centrum percuflionis , id attigi tan- Tranlitus 4d turnmodo determinando pundum syftematis maflarum jacentium centrum perin refla quadam, Sc libere gyrantis, cujus punfti impedito mo- js tu siditur motus totius fyftematis. Porro sque facile determi- ri°poffeplureiI natur centrum percuflionis in eo fensu acceptum pro quovis fyftemate maflarum utcunque difpofitarum, & res itidem facile perficitur, fi alis diverfk etiam centri percuflionis ides adhibeantur. Rem hic paullo diligentius persequar. 104. Inprimis ut agamus de eadem centri percuflionis notio- Ja!t‘U[n ^ ... P n 1 - •*. r tl0ne adnibiU Jie, moveatur libere fyftema quodcunque ita inter fe connexurn, ;noPere: cen. ut ejus partes mutare non poflint diftantias a fe invicem. Cen- ‘ri gravitatis trum gravitatis totius fyftematis vel quiescet, vel movebitur {usin^otu U- uniformiter in diredurn, cum per theorema inventum a New-tero, tono, & a me demonftratum in ipso Opere num. 250 , adiones mutus non turbent ftatum ipfius: fyftema autem totum fibi relidum vel movebitur motu eodem parallelo, vel convertetur motu aquali circa axem datum transeuntem per ipsum centrum gravitatis, & vel quiescentem cum ipso centro , vel ejusdem uniformi jrnotu parallelo delatum fimul, quod itidem demonftrari poteft haud difficulter. 105. Inde autem colligitur illud, in motu totius syftematis inde erui, In. Compofito ex motu uniformi, in diredum, & ex rotatione cir- fafo Tum'rota' Culari circa axem itidem translatum haberi femper redam quan- t?one ,Ufore°redam pertinentem ad fyftema, nimirum cum eo connexam, pro cum eo quovis tempufculo fuam, qus illo tempufculo maneat immota, “ "bilem"quo' oc circa quam, ut circa quendam axem immotum convertatur vis tempufculo £0 tempusculo totum syftema. Concipiatur enim planum quodvis transiens per axem rotationis circularis, & in eo plano fitp o flit. reda qusvis axi parallela ; ea convertetur circa axem velocitate eo majore, quo magis ab ipfo diftat. Erit igitur aliqua diftantia ejus reds ejusmodi, aut velocitas converfionis squetur ibi velocitati, quam habet centrum gravitatis cum axe translato ; & in altero e binis appulfibus ipfius reds paralleis gyrantis cum fyftemate ad planum perpendiculare ei piano, quod axis uniformiter progrediens describit, ejusreds motus circularis fiet contrarius motui axis ipfius, adeoque motui, quo ipsa axem comitatur, cui cum ibi & squalis fit, motu altero per alterum eliso , ea reda quiescet illo tempusculo , & syftema totum motu compofito gyrabit circa ipsam,. Nec erit difficile dato motu centri gravitatis, & binarum maflarum non jacentium in eodem plano transeunte per axem rotationis, invenire pofitiohem axis, & hujus reds immots pro quovis dato momento temporis.. 105. Qusratur jam in ejufinodi fyftemate pundum aliquod, k i? m ° til'°^ & cujus motus , fi per aliquam vim externam impediatur, debeatpraparatio ad mutuis adionibus fifti motus totius syftematis , quod pun- Elutionem» dum, fi uspiam suerit, dicatur centrum percuflionis . Concipiantur autem mafls omnes translats.per redas parallelas reds illi
302 E P I S T O L A illi manenti immota» tempusculo, quo motus fiftitur, quam reflam .hic appellabimus axem rotationis, in planum ipfi perpendiculare tranfiens per centrum gravitatis, & in figura 64 exprimatur id planum ipso plano fchematis: 'fit autem ibidem P centrum rotationis, per quod transeat axis ille, fit G centrum gravitatis, & A una ex mafiis. Confideretur quoddam pundlum Q_aflumptum in ipsa redi a PQ_, & aliud extra ipsam, ac lingularum maflarum motus concipiatur resolutus in dilos, alterum perpendicularem re&se P G agentem diredione A a, alterum i- pfi parallelum agentem diredlione P G , ac velocitas absoluta pundli O dicatur V P A XV «itatu^abfoiu- I07* Ent PQ_. PA;: V. - p- ^ - , qua; erit velocitas abtae, & relati- * d i varum Cujusvis . _ . _ . _ P A P * „ mair*. foluta mafla; A . Erit autem P A . P a ::
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THEORIA PHILOSOPHIAE NATURALIS REDA
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IV Haec omniame permoverant jam ab
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VI ante aliquot annos in Parisiensi
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VI11 atqueidipsum inprimis adjectum
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sapene videantur , cum et omnem ani
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xl 1 . - . me decet: tum ipsius arg
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xIv omnia materia punSia vim quanda
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I x v f „ qualitates, quae ex fpe
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II xvlII _ ___ per multas vices , d
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xk meris casus evolvo quosdam binar
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XXII tem divisibilem , et extensam
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12I x k iv a repulsivis ad attracti
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x x v i ut puncta inextensa, et a s
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XXVIII - binis numeris casum evolvo
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x x x om nia, ubi plura itidem expl
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XXX i I a num. 348 ad sinem liujus
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sequor earum discrimina : ostendo n
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xxxvI num generibus ; 465 : deflagr
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« X X Y U l I N D E X. ■• . .
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^ I N D E X . ’ De sono - . - - -
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a T H E O R I / E peculiaribus quib
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4 T H E O R I A , quod quidem ipsa
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4 T H E O R I A da cuivis velocitat
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8 T H E O R I A rertrattando- bus o
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,0 T H- E O R I i£ compreflione pa
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12 T H E O R I S . Motum paffim 2
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14 T H E O R I I rum magnum ? & par
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Proponiturpro. 16 T H E O R I JE
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18 T H E O R I A „ rac legibus ft
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20 T H E O R I A simili* ad 43. Eod
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** T H E O R I JE omnes intermedias
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24 T H E O R I JE mni ftatu carere
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i* T H E O R I JE ,, habet, feries
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a8 T H E O R I J E Afi* v****. 61.
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30 T H E O R I m. nationem , quam e
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52 . T H E O R 'I 1E in omnibus dif
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34 T H E O R I A dunt errores Jovis
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36 T H E O R I A ticus poftremus, c
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38 T H E O R I i E An elementa j??.
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40 T H E O R I B pundum spatii ne c
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42 T H E O R I A evincit squalis ve
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44 T H E O R I A E sunt in Mundo, c
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4« , T H E O R I A Viderldum jam f
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4* T H E O I A im usque ad eam dete
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50 T H E O R I B enim fiogulis ejus
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5* T H E O R I A E , rum. genere un
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54 T H E O R I J E cur viri m »19*
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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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Page 297 and 298: 238 A P P E N D I X aliquod punflum
Page 299 and 300: 260 ' A P P E N D I X w e hieoceur.
Page 301 and 302: 262 A P P E N D I X efle poifibl* O
Page 303 and 304: z 6 i, . SUPPLEMENTA. ' " ' . s- i
Page 305 and 306: %66 S U P P L E M Ii N T A . §. L
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Page 317 and 318: gebitur in infinitum ita , ut evada
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Page 321 and 322: 282 SU PPLEM EN TA §. Iir ^ «ut*
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Page 325 and 326: 2U SUPPLEMENTA $. irr. unitate. At
Page 327 and 328: w nonpotuif. 288 S U P P L E M E N
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Page 331 and 332: 292 SUPPLEMENTA. §. IV. dem in alt
Page 333 and 334: 294 S U P P L E M E N T A . $. V. n
Page 335 and 336: x96 SU PPLEM EN TA, f . V . nium in
Page 337 and 338: 29$ E P I S T O L A trarise, evanes
Page 339: • 300 E P I S T O L A «jutu invc
Page 343 and 344: 3o4 * P I S T O L A . Deduftio C*.
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Page 347 and 348: 3oS E P I S T O L A tmpatium , adeo
Page 349 and 350: j i o E P I S T O L A valor manet i
Page 351 and 352: CATALOGUS O P E R U M P. ROGERII JO
Page 353 and 354: D e Inaequalitate gravitatis in div
Page 355 and 356: . In Monumentis Acad. Bonenienfis.
Page 357 and 358: Pro Benedicto X IV . P . M . SOteri
Page 359 and 360: ftt: Gitbl dcnl r.’
Page 361 and 362: t f l b . T r r .
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Theoria philosophiae naturalis

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