Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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inter experiundum applicari diuerſis ſeorſim lineis
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debeant, ne inter mouendum ſeſe interturbent: om
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neis tamen ſchemate vno repræſentari nihil prohibet.
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<
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">Ducantur heinc inde duæ lineæ angulum ſtatuentes
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in A, qui à perpendiculo biſecctur, ſintque v. c. IA,
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KA; & centro A; agantur inter illas arcus CD ad
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mum</
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pedem, EF ad quartum, GH ad nonum IK ad
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ſextum-decimum; qui ſimiles proinde erunt, pares
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videlicet portiones ſuotum cuiuſque circulorum eo
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dem angulo menſuratæ. </
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<
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">Ducantur & ſubtenſæ ar
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cuum; & adnotentur quaſi ſagittæ, ſeu appellati ſinus
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verſi, lineæ nimirùm LM, NO, PQ, RB; cùm
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ſint altitudines, quibus globi delabuntur ex linea AI
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(vbi ad illam abducti, ex ea dimittuntur) in ipſum
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perpendiculum; primus putà ex C in M, ſecundus
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ex E in O, tertius ex G in Q, quartus ex I in B.
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</
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<
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">Abducantur proinde globi ad memoratam lineam
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AI, vt ſuas, exinde dimiſſi, vibrationes peragant, ad
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lineam AK, aut quam-proximè terminandas. </
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<
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">Nam &
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quamuis quilibet globus, ſeu longiùs, ſeu breuiùs di
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miſſus, & ſeu moueri incipiat, ſeu deſinat, vibrationes
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omneis æqui-temporaneas ſortiatur, temporibuſve
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paribus perficiat; proportio tamen ſemper eſt, quoties
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ſub æquali, eodemue angulo accipiuntur. </
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<
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tur & globi ſimul, ac peruenire concipiantur ad vſ
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que perpendiculum. </
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<
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">Quoniam tunc vt filum AO
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quadruplum eſt fili AM, & filum AQ nonuplum,
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filum AB ſexdecuplum; ita altitudo NO dupla eſt
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altitudinis LM, & altitudo PQ nonupla, altitudo
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RB ſexdecupla; quo pacto interuallum quoque per-</
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