Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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SUPPLEMENTA. §. I.
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finite de omnibus momentis temporis infiniti, decreſcet prior
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probabilitas in ea ratione, qua momenta creſcunt, in quorum
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aliquo ſaltem poſſet ibidem eſſe punctum. </
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<
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">Sunt autem momen-
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ta numero infinita infinitate ejuſdem generis, cujus puncta poſ-
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ſibilia in linea infinita. </
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<
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">Igitur adhuc agendo de omnibus mo-
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mentis infiniti temporis indefinite, eſt infinities infinite impro-
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babilius, quod punctum in eodem illo priore ſit loco, quam
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quod ſit alibi. </
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">Conſideretur jam non unicum punctum loci
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determinato unico momento occupatum, ſed quodvis punctum
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loci, quovis indefinite momento occupatum, & </
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">adhuc proba-
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bilitas regreſſus ad aliquod ex iis creſcet, ut creſcit horum lo-
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ci punctorum numerus, qui infinito etiam tempore eſt infinitus
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ejuſdem ordinis, cujus eſt numerus linearum, in quovis plano.
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</
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<
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">Quare improbabilitas caſus, quo determinatum quodpiam mate-
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riæ punctum redeat, quovis indefinite momento temporis, ad
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quodvis indefinite punctum loci, in quo alio quovis fuit mo-
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mento temporis indefinite ſumpto, remanet infinita primi ordi-
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nis. </
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">Eadem autem pro omnibus materiæ punctis, quæ nume-
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ro finita ſunt, decreſcit in ratione finita ejus numeri ad uni-
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tatem (quod ſecus accidit in communi ſententia, in qua pun-
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ctorum materiæ numerus eſt infinitus ordinis tertii). </
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<
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">Quare
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adhuc remanet infinita improbabilitas regreſſus puncti materiæ
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cujuſvis indefinite, ad punctum loci quodvis, occupatum quovis
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momento præcedenti indefinite, regreſſus inquam, habend
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i quo-
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vis indefinite momento ſequenti temporis, qui regreſſus idcirco
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ſine ullo erroris metu debet excludi, cum infinitam improbabili-
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tatem in relativam quandam impoſſibilitatem migrare cenſendum
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ſit: </
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<
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">quæ quidem Theoria communi ſententiæ applicari non poteſt. </
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Quamobrem eo pacto, patet, in mea materiæ punctorum Theo-
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ria e Natura tolli & </
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">quietem, quam etiam ſupra excluſimus,
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& </
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">vero etiam regreſſum ad idem loci punctum, in quo ſemel
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ipſum punctum materiæ extitit: </
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">unde fit, ut omnes illi primi
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quatuor caſus excludantur ex Natura, & </
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">in iis accurata tempo-
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ris, & </
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<
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<
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<
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">Nullum pun-
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ctum materiæ
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advenire ad ul-
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lum punctum
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ſpatii, in quo
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aliquando fue
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rit aliud pun-
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ctum quodvis.
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In ſola coexi-
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ſtentia reſpon-
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dente huic ad-
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ventui lædi a
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nalogiam.</
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occupare debeat quopiam momento punctum loci, quod alio
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momento aliquo aliud materiæ punctum occupavit; </
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<
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probabilitas erit infinities infinita. </
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<
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">Nam numerus punctorum
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materiæ exiſtentium eſt finitus, adeoque ſi pro regreſſu pun-
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cti cujusvis ad puncta loci a ſe occupata adhibeatur regreſſus
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ad puncta occupata a quovis alio, numerus caſuum creſcit in
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ratione unitatis ad numerum punctorum finitum utique, nimi-
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rum in ratione finita tantummodo. </
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<
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">Hinc improbabilitas appul-
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ſus alicujus puncti materiæ indefinite ſumpti ad punctum ſpa-
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tii aliquando ab alio quovis puncto occupati adhuc eſt infini-
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ta, & </
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<
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">ipſe appulſus habendus pro impoſſibili, quo quidem pa-
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cto excluditur & </
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<
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">ſextus caſus, qui in eo ipſo ſitus erat regreſ-
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ſu, & </
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