Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              Corollarium
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              7.
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            <p id="N170EF" type="main">
              <s id="N170F1">Septimò reiicies etiam aliquos recentiores, qui volunt fieri hanc pro­
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              greſſionem ſpatiorum æqualibus temporibus reſpondentium ſecundùm
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              progreſſionem Geometricam, duplam, ſcilicet iuxta hos numeros 1. 2. 4.
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              8. 16. 32. &c. </s>
              <s id="N170FA">quod etiam ex eadem ratione facilè confutatur: </s>
              <s id="N170FE">reiicies
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              etiam alium recentiorem, qui vult hanc progreſſionem ſumi ex linea
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              proportionaliter ſectâ, id eſt in mediam & extremam rationem; </s>
              <s id="N17106">ſed de
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              his omnibus in diſſertatione ſequenti fusè diſputamus; quippe rem hanc
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              tanti eſſe putamus, vt nihil omittendum ſit, quod ad eius pleniſſimam
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              confirmationem pertineat.
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            <p id="N17113" type="main">
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              DISSERTATIO
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              De Motu naturaliter accelerato.
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            <p id="N17129" type="main">
              <s id="N1712B">DVæ ſunt potiſſimùm in hac materia celebres ſententiæ; </s>
              <s id="N1712F">Prima eſt
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              Galilei, & ferè omnium recentiorum, qui poſt Galileum de motu
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              ſcripſerunt; </s>
              <s id="N17137">inter quos, ne omittam Genuenſem Patricium, Balianum; </s>
              <s id="N1713B">
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              Doctus Merſennus, & eruditus Gaſſendus primum locum obtinent; </s>
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              quorum ille hanc ſententiam multis in locis, ſcilicet in ſuis quæſtioni­
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              bus Phyſicis, in ſua Galilei verſione, in harmonia vniuerſali, & demum
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              in ſua Baliſtica paſſim, tùm fusè proponit, & explicat, tùm etiam ſuis ra­
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              tionibus confirmat; Galileus verò illam habet tùm in gemino ſyſtema­
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              te, tùm in dialogo tertio de motu locali. </s>
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            <p id="N1714D" type="main">
              <s id="N1714F">Secunda ſententia noſtra eſt, de qua non ſemel diſputandum fuit à
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              Magiſtro, tùm verbis tùm etiam litteris ſcriptis; & ne quid fortè diſſimu­
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              lem, illa eſt ſententia quam anonimo Philoſophe (quem non ſine laude
                <lb/>
              appellat idem Merſennus) tribuit. </s>
              <s id="N17159">prop.18.ſuæ Baliſticæ ſub finem; illa
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              eſt inquam ſententia, quam hactenus meo iudicio ſatis luculenter de­
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              monſtrauimus. </s>
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            <p id="N17161" type="main">
              <s id="N17163">Sunt tres aliæ ſententiæ, quæ ab eodem Merſenno referuntur; prima
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              eſt quæ progreſſionem ſpatiorum
                <expan abbr="eãdem">eandem</expan>
              eſſe vult cum eâ, quæ eſt ſi­
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              nuum verſorum, centro quadrantis poſito in centro terræ, & altero ex­
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              tremo ſinus totius in eo punctò, in quo incipit motus. </s>
              <s id="N17171">Secunda eſt quo­
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              rumdam, qui volunt progreſſionem ſpatiorum, quæ ſingulis temporibus
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              reſpondent, eſſe in progreſſione geometrica dupla iuxta hos numeros,
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              1.2.4.8.32. Tertia eſt alicuius, qui voluit eſſe iuxta proportionem lineæ
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              ſectæ in mediam, & extremam rationem. </s>
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            <p id="N1717C" type="main">
              <s id="N1717E">Tres vltimæ ſententiæ nullo prorſus nituntur fundamento; igitur vel
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              inde maximè confutantur, quòd gratis ſine vllo prorſus vel rationis vel
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              experimenti momento excogitatæ ſint. </s>
              <s id="N17186">Igitur in hac diſſertatione duæ
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              tantùm primæ diſcutiendæ ſunt Sententiæ Galilei ſchema hic habes
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              in linea AF, in qua aſſumitur AB, ſpatium ſcilicet, quod dato tempore </s>
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