Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

Table of contents

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          <div xml:id="echoid-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div551" type="section" level="3" n="15">
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                <p>
                  <s xml:id="echoid-s3544" xml:space="preserve">
                    <pb o="286" rhead="IO. BAPT. BENED." n="298" file="0298" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0298"/>
                  deſcendere, ſed recta orizontaliter, vt ita dicam, moueri. </s>
                  <s xml:id="echoid-s3545" xml:space="preserve">Id quod à nemine ad-
                    <lb/>
                  huc (quod ſciam) in trocho eſt obſeruatum. </s>
                  <s xml:id="echoid-s3546" xml:space="preserve">Ab huiuſmodi motu trochi, aut hu-
                    <lb/>
                  ius generis corporis, clarè perſpicitur, quàm errent peripatetici circa motum uio-
                    <lb/>
                  lentum alicuius corporis, qui exiſtimant aerem qui ſubintrat ad occupandum locum
                    <lb/>
                  à corpore relictum, ipſum corpus impellere, cum ab hoc, magis effectus contrarius
                    <lb/>
                  naſcatur.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3547" xml:space="preserve">Quod deinde ampullæ iungantur in aqua, non fit ratione ſimpathiæ, de qua lo-
                    <lb/>
                  quitur Fracaſtorus, nam per accidens iunguntur, quia cum alia ad aliam accedit, quę
                    <lb/>
                  libet earum tentat aſcendere ab ea parte, à qua inuicem hærent, quemadmodum
                    <lb/>
                  efficiunt iuxta labrum vaſis, ea enim ſuperficies a quæ vicina circunferentiæ vaſis ali
                    <lb/>
                  quantulum aſcendit in vaſe, qui non eſt omnino plenus.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3548" xml:space="preserve">Ad id deinde quod de claritate noctium ſcribis, miror cur non videas, quod
                    <reg norm="quam" type="context">quã</reg>
                    <lb/>
                  to magis obſcura nox apparet, non dico ratione nubium, ſed diſtantiæ Solis ſub
                    <lb/>
                  orizonte ab eodem orizonte, tanto magis claram, & luminoſam ſeſe nobis oſten-
                    <lb/>
                  dit Luna in quintadecima, quia cum Sol eſt in Sagittario, & Capricorno, Luna eſt
                    <lb/>
                  in Geminis, & in Cancro, vnde in media nocte, eius radius per valde exiguam
                    <reg norm="quam" type="context">quã</reg>
                    <lb/>
                  titatem vaporum tranſit, quia tunc ipſa eſt valde propinqua axi orizontis, & præ-
                    <lb/>
                  terea in huiuſmodi tempore anni & noctis, aer eſt magis purgatus, quàm in qualibet
                    <lb/>
                  alia temporis parte, quia hieme Sol non poteſt excitare multos vapores, & ij, qui
                    <lb/>
                  at tolluntur, nocte à frigore ſtatim congellati ratione grauitatis
                    <reg norm="decidunt" type="context">decidũt</reg>
                  , </s>
                  <s xml:id="echoid-s3549" xml:space="preserve">unde rema-
                    <lb/>
                  net aer multo clarior, qua ratione apparent ſtellæ minutæ, & Cœlum ijſdem ma-
                    <lb/>
                  gis ornatum, quàm in quolibet alio anni tempore.</s>
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                <p>
                  <s xml:id="echoid-s3550" xml:space="preserve">Dicere deinde, quemadmodum hic mundus eſt ætatis ſeptem, aut octomillium
                    <lb/>
                  annorum, ita nunc potuiſſet eſſe (ſi Deus voluiſſet) ætatis quinquagintamillium; </s>
                  <s xml:id="echoid-s3551" xml:space="preserve">er
                    <lb/>
                  go erat tempus; </s>
                  <s xml:id="echoid-s3552" xml:space="preserve">ita ſe habet, ac ſi diceremus, quemadmodum hic mundus eſt tan-
                    <lb/>
                  tæ magnitudinis, ita etiam quinquagies maior eſſe potuiſſet, ergo eſt ſpatium, aut
                    <lb/>
                  interuallum corporeum, quod eum capere potuiſſet.</s>
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                <p>
                  <s xml:id="echoid-s3553" xml:space="preserve">Illud, nihil, Ariſtotelis extra Cęlum, nullo modo nobis inſeruit pro eiuſdem Cœ
                    <lb/>
                  li ſphęrica rotunditate, cum cuiuſque alterius ex infinitis figuris Cęlum ipſum eſſe
                    <lb/>
                  poſſit, ſecundum ſuam ſuperficiem conuexam. </s>
                  <s xml:id="echoid-s3554" xml:space="preserve">Nam Cœlum ea ratione ſphęricum
                    <lb/>
                  non eſt, quod magis ſit capax, quia ei innumerahiles alias figuras adeo magnas po
                    <lb/>
                  terat concedere cauſa diuina: </s>
                  <s xml:id="echoid-s3555" xml:space="preserve">ſed ſphæricum eſt effectum, ne partem aliquam habe
                    <lb/>
                  ret ſui termini ſuperfluam, quia nullum corpus à breuiori termino quam à ſphærico
                    <lb/>
                  terminari poteſt.</s>
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              <div xml:id="echoid-div552" type="letter" level="4" n="2">
                <head xml:id="echoid-head420" style="it" xml:space="preserve">Derèuolutione rota putealis &
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                  <lb/>
                problematibus.</head>
                <head xml:id="echoid-head421" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s3556" xml:space="preserve">FVnis cui appenſa eſt ſitula, longè facilius axi inuoluitur, ſi ipſi axi affixa ſit rota.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3557" xml:space="preserve">atque item commodius eò fiet, quo amplior rota erit, & axis exilior.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3558" xml:space="preserve">Commodiſſimè autem, ſi ipſa rotæ extrema circunferentia, ex materia minori,
                    <lb/>
                  & denſiori, ac proinde grauiori conſtabit. </s>
                  <s xml:id="echoid-s3559" xml:space="preserve">Cuius rei ratio multiplex eſt. </s>
                  <s xml:id="echoid-s3560" xml:space="preserve">Nem-
                    <lb/>
                  pe quia omne corpus graue, aut ſui natura, aut vi motum, in ſe recipit impreſſio- </s>
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