Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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EPISTOLA
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itidem, ac e ſuperioribus etiam Theorematis facile deduci-
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da.</
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tur, centrum oſcillationis jacere infra centrum globi, per {2/5}
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tertiæ proportionalis poſt diſtantiam puncti ſuſpenſionis a cen-
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tro globi, & </
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<
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dam habetur centrum gravitatis in medio ipſo filo, & </
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trum oſcillationis, ſuſpenſione facta per fili extremum eſt in
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fine ſecundi trientis longitudinis ejuſdem fili, quod itidem ex
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formula generali facillime deducitur. </
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<
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commune globi, & </
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rium ſuperius.</
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<
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formula pro
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pendulo globi
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pendentis e fi-
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lo.</
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maſſa ſeupondus p: </
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">erit diſtantia centri gravitatis fili ab axe con-
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verſionis erit {1/2} a, diſtantia centri oſcillationis ejuſdem {2/3} a.
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</
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b. </
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globo erit diſtantia centri gravitatis a + r, quæ ponatur =m; </
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Diſtantia centri oſcillationis erit m + {2/5} x {r r/m}. </
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ctum pertinens ad globum erit m
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p + {2/5} r r p. </
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ma eſt m
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p + {2/5} r r p + {1/3} a
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b. </
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<
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fili, & </
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">globi jaceant in directum cum puncto ſuſpenſionis, ad
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habendam diſtantiam centri gravitatis communis ductam in
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ſummam maſſarum ſatis erit ducere ſingularum partium maſ-
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ſas in ſuorum centrorum diſtantias, ac habebitur m p + {1/2} a b. </
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Quare formula pro centro oſcillationis utriuſque ſimul, erit
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{m
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p + {2/5} r r p + {1/3} a
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b/m p + {1/2} a b.</
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<
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concipere maſ-
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ſas ſingulas ut
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collectas in ſuis
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centris oſcilla-
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tionis, aut gra-
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vitatis, aut aliis
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intermediis do-
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cumentum uti-
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le.</
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commune habendum non licere ſingularum partium maſſas con-
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cipere, ut collectas in ſuis ſingulas aut centris oſcillationis, aut
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centris gravitatis. </
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<
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">In primo caſu numerator colligeretur ex ſum-
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ma omnium productorum, quæ fierent ducendo ſingulas maſſas
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in quadrata diſtantiarum centri oſcillationis ſui; </
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<
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quadrata diſtantiarum ſui centri gravitatis. </
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beretur plus juſto, in hoc minus. </
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<
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">Sed nec poſſunt concipi ut
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collectæ in aliquo puncto intermedio, cujus diſtantia ſit media
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continue proportionalis inter illas diſtantias; </
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<
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">nam in eo caſu nu-
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merator maneret idem, at denominator non eſſet idem, qui ut
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idem perſeveraret, oporteret concipere maſſas ſingulas collectas
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in ſuis centris gravitatis, non ultra ipſa. </
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<
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ſemper licere concipere maſſas ingentes in ſuo gravitatis centro,
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& </
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<
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">idcirco, ubi in Theoria centri oſcillationis, vel percuſſionis
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dico maſſam exiſtentem in quodam puncto, intelligi debet, ut
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monui in ipſo opere, tota maſſa ibi compenetrata vel concipi
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maſſula extenſionis infiniteſimæ, ut maſſæ compenetratæ in uni-
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co ſuo puncto æquivaleat.</
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