Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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              <s id="s.002882">
                <pb pagenum="170" xlink:href="009/01/170.jpg"/>
              rotæ perducitur totum rotæ pondus in duas æquas partes diuidit, ita vt ta­
                <lb/>
              le pondus in æquilibrio conſtituatur, cum ex vna parte tantum ſit, quantum
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              ex altera; ex quo fit, vt vel exigua vis ipſam impellere valeat: quando enim
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              duo æqualia pondera ſunt in æquilibrio, quelibet vis poteſt ea ab æquilibrio
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              dimouere. </s>
              <s id="s.002883">quando poſtea rota eſt in motu, vel cum primum ei motus fuerit
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              à motore inditus, ſemper nutat ad partes illas, ad quas primum fuit incita­
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              ta per impreſſam motionem, quapropter nullo negotio ad eaſdem partes,
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              ſeu antrorſum mouetur; quò enim
                <expan abbr="vnumquodq;">vnumquodque</expan>
              vergit, illuc facillimè fer­
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              tur: quemadmodum è contrario difficillimum eſt in contrariam nutus ſui
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              partem vnumquodque pellere. </s>
              <s id="s.002884">Huc etiam pertinet, quod nonnulli dicunt,
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              circuli nimirum periphæriam perenni verſari motu,
                <expan abbr="atq;">atque</expan>
              hinc facilius mo­
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              ueri. </s>
              <s id="s.002885">ſicuti etiam dicunt, quod manentia propterea manent, quia contrani­
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              tuntur, & obſiſtunt mouenti: quod fortè dicebant propter maximam circu­
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              li ad motum aptitudinem. </s>
              <s id="s.002886">& quia ſicut diameter ad diametrum, ita maio­
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              ris circuli periphæria ad minoris periphæriam (vt poſtea oſtendam) & quia
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              quo
                <expan abbr="lõgior">longior</expan>
              diameter eſt, eò facilius, vt initio probaui, mouetur, fit vt etiam
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              periphæria maioris facilius, quàm minoris moueatur, ſiue dixeris, quod an­
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              gulus maioris circuli ad angulum minoris nutum quendam habet; & quia
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              facilius mouetur angulus maioris, quàm minoris, fit, vt maior rota adhi­
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              beatur ad minorem mouendam: & quia intra maiorem infinitæ circa idem
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              centrum concipi poſſunt, hinc fit, vt rotæ maiores facilius moueantur, &
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              motæ moueant cæteras intra ſe contentas. </s>
              <s id="s.002887">quod dictum eſt de nutu anguli
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              maioris circuli ad angulum minoris ex appoſita figura facilè patebit, vbi
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                <figure id="id.009.01.170.1.jpg" place="text" xlink:href="009/01/170/1.jpg" number="97"/>
                <lb/>
              pro minore angulo intelligendus eſt arcus C B,
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              pro maiore autem arcus D E, quorum
                <expan abbr="vterq;">vterque</expan>
              vo­
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              catur angulus, quoniam angulo A, qui eſt in cen­
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              tro opponuntur. </s>
              <s id="s.002888">Atque hæc ſufficiant de ijs, quæ
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              primo modo mouentur.</s>
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            <p type="main">
              <s id="s.002889">Nunc ad ea, quæ reliquis duobus modis cieri
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              ſolent, quæ ſcilicet non mouentur ſecundum apſi­
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              dem, ſed aut iuxta planitiem, ideſt, quæ æquidi­
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              ſtanter pauimento collo
                <expan abbr="cãtur">cantur</expan>
              , vt rotæ figulorum,
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              aut quæ in loco à terra eleuato, vt troclearum or­
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              biculi. </s>
              <s id="s.002890">rotæ hæ facilius ipſæ, & ea etiam, quæ ipſis annectuntur commouen­
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              tur, quam ſi rectilinea figura conſtarent; non quia parua ſui portione vel
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              tangant planum, vel offenſent, ſed ob aliam inclinationem, de qua initio
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              huius operis ante quæſtiones dictum eſt, vbi diximus circulum duas incli­
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              nationes ad motum obtinere, ſecundum quas à motore mouetur; vna eſt,
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              quam diximus naturalem, qua ſolet cieri ſecundum periphæriam, motor
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              enim ſemper mouet circulum in periphæria, & ſecundum hanc inclinatio­
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              nem extremum diametri rectà, non circulariter moueretur: hanc inclina­
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              tionem fortè habet à materia grauitante, & in ipſo circulo conſtituta in
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              æquilibrio: quæ autem in æquilibrio, facillimè cedunt; & qui talia mouent,
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              quaſi prius mota mouent, & ideò facillimè. </s>
              <s id="s.002891">Secundum igitur inclinatio­
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              nem hanc, quæ in obliquum eſt, ideſt, quæ ſecundum circunferentiam ſit,
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              ipſam rotam mouens facillimè mouet. </s>
              <s id="s.002892">altera latio eſt, ſecundum quam </s>
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