Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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        <body>
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            <p type="main">
              <s id="s.002680">
                <pb pagenum="156" xlink:href="009/01/156.jpg"/>
                <figure id="id.009.01.156.1.jpg" place="text" xlink:href="009/01/156/1.jpg" number="86"/>
                <lb/>
              ctum A, tanquam circa
                <expan abbr="centrũ">centrum</expan>
              , aut axem
                <lb/>
              ita fixum, vt ipſi libræ conuerſio innita­
                <lb/>
              tur, quæ eſt altera libræ poſitio. </s>
              <s id="s.002681">Quærit
                <lb/>
              igitur, cur ſi in libra ſurſum
                <expan abbr="habẽte">habente</expan>
              per­
                <lb/>
              pendiculum, & centrum, ponatur ex vna
                <lb/>
              parte onus quodpiam, v. g. in parte B, vt in prima textus figura factum eſt,
                <lb/>
              libra de primo ſitu B C, mouetur ad ſitum E H, ſed tamen ablato pondere
                <lb/>
              reuertitur ſua ſpontè ad priſtinum ſitum B C. ſi autem in libra, cuius per­
                <lb/>
              pendiculum, ac centrum deorſum ſit, vt in ſecunda figura textus, pondus
                <lb/>
              imponatur, ipſa quidem à ſitu B C, ad ſitum O R, transferretur; verumta­
                <lb/>
              men ablato onere,
                <expan abbr="nõ">non</expan>
              amplius ad priorem poſitionem, vti prior, reuertitur.</s>
            </p>
            <p type="main">
              <s id="s.002682">Huic quæſtioni, vt reſpondeat, tacitè ſupponit omne graue tendere de­
                <lb/>
              orſum, hoc pacto, vt centrum grauitatis ipſius tendat per lineam rectam
                <lb/>
              ad mundi centrum ab ipſo grauitatis centro protractam, quam lineam Di­
                <lb/>
              rectionis Recentiores appellant. </s>
              <s id="s.002683">ſciendum autem centrum grauitatis eſſe
                <lb/>
              punctum quoddam in quolibet graui, ex quo ſi graue illud ſuſpendatur, ſem­
                <lb/>
              per manet in æquilibrio, nec vnquam poſitionem reſpectu ſuarum partium
                <lb/>
              mutat, quamuis ita ſuſpenſum huc illuc transferatur. </s>
              <s id="s.002684">Ita Pappus Alexan­
                <lb/>
              drinus initio octaui libri Mathematicarum collectionum. </s>
              <s id="s.002685">Totius igitur li­
                <lb/>
              bræ abſque onere centrum grauitatis eſſet circa punctum D, quod eſſet di­
                <lb/>
              ſtinctum à centro circumuolutionis A. quod grauitatis centrum, ſemper
                <lb/>
              quantum fieri poteſt, ſi nihil obſtet, centro mundi appropinquat; & propte­
                <lb/>
              rea facit, vt prior libra ſine onere ſuſpenſa in A, in æquilibrio, atque hori­
                <lb/>
              zonti parallela permaneat, ſtante enim D, centro mundi maximè propin­
                <lb/>
              quo, ſiue in loco humillimo, erit inter punctum A, & centrum mundi, ac
                <lb/>
              conſequenter in linea directionis. </s>
              <s id="s.002686">quæ linea directionis in prima figura
                <lb/>
              textus eſſet eadem cum perpendiculo A D M, manente libra ſine pondere
                <lb/>
              horizonti parallela; in
                <expan abbr="ſecũda">ſecunda</expan>
              autem figura textus coincideret pariter cum
                <lb/>
              perpendiculo K L M, antequam libra ob impoſitum onus ab æquilibrio di­
                <lb/>
              moueretur. </s>
              <s id="s.002687">per hanc enim lineam centrum grauitatis libræ, quod eſt propè
                <lb/>
              puncta D, & L, tenderet ad mundi centrum, ſi libra liberè ad centrum mun­
                <lb/>
              di dilaberetur. </s>
              <s id="s.002688">his præmiſſis ſic quæſtioni ſatisfacit, & primò primæ parti,
                <lb/>
              quando nimirum ſpartum ſupernè collocatum eſt. </s>
              <s id="s.002689">Ratio igitur, cur tunc li­
                <lb/>
              bra amoto pondere ad horizontis æquilibrium reuertatur eſt, quia pondus
                <lb/>
              libræ impoſitum in altera tantum libræ parte, grauitando impellit libram
                <lb/>
              ad alium ſitum E H, ita vt maior pars libræ conſtituatur ex altera parte li­
                <lb/>
              neæ directionis prioris A D M, in qua etiam parte exiſtit centrum grauita­
                <lb/>
              tis libræ ipſius, eſt enim circa D, quod centrum vi ponderis incumbentis in
                <lb/>
              E, cogitur paulùm aſcendere,
                <expan abbr="atq;">atque</expan>
              contra ipſius naturalem inclinationem à
                <lb/>
              mundi centro recedere, vt ſi in libra B C, appendatur onus in B, vt in pri­
                <lb/>
              ma textus figura; B, deſcendet ad E, & C, aſcendet ad H, & centrum graui­
                <lb/>
              tatis D, paulùm aſcendet à centro mundi, & linea A D M, quæ libram bi­
                <lb/>
              fariam ſecabat modo tranſlato perpendiculo in A D G, non amplius cam
                <lb/>
              bifariam ſecabit; ſed libræ E H, maior pars erit vltra perpendiculum A D­
                <lb/>
              M, quæ maior pars eſt D D H.</s>
            </p>
            <p type="main">
              <s id="s.002690">Si igitur nunc onus amoueatur libræ E H, centrum grauitatis, quod eſt </s>
            </p>
          </chap>
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