Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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exprimendum fuit) eadem continuò erit progreſſio
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quinarii numeri cum quadrante, ſeu dr. </
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<
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dicas 4.2, 9.4, 14.6, 20, 25.2: ſeu 6.2, 11.4, 16.6, 22, 27.2.
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Sed res eſt per ſe ſatis manifeſta. </
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Nunc autem, Vir perſpicacißime, cùm in ea tota re
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diligentiam tuam, ac ſolertiam vehementer probem, & exa
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ctiorem adhûc à te exſpectem; perinde probare non poſſum
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quæ ſequuntur reliqua: & primùm quod ais numero xxviii.
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<
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">fore, vt ſi penes globorum diametros menſurandæ eſſent eo
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rum velocitates, demißi ex eadem altitudine globi duo eiuſ
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dem materiæ, ſed mole inæquales, pari celeritate non deſcen
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derent. </
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">Ponis autem exempli gratiâ duos globos, quorum
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vnus ſit diametro decies maiore, quàm alter, & minorem
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hunc dicis decuplò velociùs altero moueri. </
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hoc loco non aduertit primùm, à maiore globo vnius diametri
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deſcenſu tantum velocitatis acquiri, quantum à minore globo
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decem diametrorum deſcenſu acquiritur: nihilque omninò re
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ferre, ſi è duabus velocitatibus inter ſe æqualibus altera plu
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reis in parteis ſubdiuidatur, quæ ſimùl iunctæ alteram exæ
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quent; ſicut nec ratio acceleratæ velocitatis per quodlibet
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spatium variabitur, ſi partes eiuſdem ſpatij æquales ab vno
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minores deſignentur, ab altero maiores. </
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<
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">Deinde, illud etiam
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non aduertit, vt ſi penes spatii parteis æqualeis in quacumque
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ratione acceptas, accelerationis velocitas menſuretur, futurum
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omninò ſit, vt perinde eorumdem globorum diametris ea
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dem quoque accelerationis velocitas menſuretur; præſertim ſi
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diametri (vt in propoſito exemplo) ſupponantur commenſu
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rabiles; quod & ex ipſa rei natura, & ex proximè adducto
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eius exemplo, qui ſpatium quodlibet, per quod fieret deſcenſus,
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nunc maiores in parteis diuideret, nunc in minores, euidenter
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