Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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              <s id="s.004180">
                <pb pagenum="246" xlink:href="009/01/246.jpg"/>
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              papyri)
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              verſiſſet; cur voluminum ſectio, quemadmodum ego feci, quod, &
                <lb/>
              facere debebat, iuxta
                <expan abbr="græcorũ">græcorum</expan>
                <expan abbr="verborũ">verborum</expan>
              notionem,
                <foreign lang="grc">Δια τί τῶν βιβλίων ὴ τομη</foreign>
              ,
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              locum hunc non ſolum non obſcuraſſet, verum etiam clarum omninò red­
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              didiſſet, eſt enim Problema de ſectione voluminis papyracei, quibus vete­
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              res illi ſcribebant. </s>
              <s id="s.004181">quapropter optimè intelliges textum hunc, ſi huiuſmodi
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              volumen bis ſecueris, primo quidem ſectione baſi voluminis parallela; ſe­
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              cundo verò ſectione tranſuerſali, ſeu obliqua ad baſim: nam explicata pri­
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              ma ſectione apparebit eam eſſe lineam rectam: euoluta verò
                <expan abbr="ſecũda">ſecunda</expan>
              ſectio­
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              ne apparebit eam eſſe tortuoſam, & flexuoſam; Ariſt. reddens rationem,
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              cur hæc ſit tortuoſa, ait id eſſe, quia ſectione obliqua exiſtente, ideſt ex vna
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              parte depreſſiori, & ex altera altiori, ſequitur, quod circuli, qui ex tali ſe­
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              ctione oriuntur non remanent in eodem plano, dum euoluuntur; quare
                <expan abbr="neq;">neque</expan>
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              linea, ex qua illi circuli conſtant, poterit eſſe in eodem plano, & ideo
                <expan abbr="neq;">neque</expan>
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              recta eſſe poterit, quia fieri nequit, vt eiuſdem lineæ pars ſit in plano vno,
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              pars verò in altero; quod oſtenditur in prima 11. Elem. quæ eſt hæc; rectæ
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              lineæ pars quædam non eſt in ſubiecto plano, pars verò in ſublimi.</s>
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              357</s>
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              <s id="s.004184">In 12. problem. </s>
              <s id="s.004185">quod eſt idem cum tertio ſuperiori, videnda ſunt, quæ ibi
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              annotaui, hic tamen aliter ſoluitur, ſed tanta facilitate, vt nihil præte­
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              rea opus ſit.</s>
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            <p type="main">
              <s id="s.004186">
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              <s id="s.004187">
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              358</s>
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            <p type="main">
              <s id="s.004188">In 13. probl. </s>
              <s id="s.004189">quod eſt idem cum quarto præcedenti, repetenda eſt illius.
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              <s id="s.004190">explicatio, vt huic inſeruiat. </s>
              <s id="s.004191">Ariſt. autem pulchrè, & aptè aſſimilat refle­
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              xionem corporum reflexioni radiorum viſualium ex ſpeculis; vbi, vt docent
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              Perſpectiui, radius viſualis ſpeculo incidens, facit ſemper angulum æqua­
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              lem ei, quem facit radius reflexus; eſt enim apud eos axioma, angulus in­
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              cidentiæ æqualis eſt angulo reflexionis.</s>
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            <p type="head">
              <s id="s.004192">
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              SECTIO XIX.</s>
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              <s id="s.004193">De Muſica.
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              </s>
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              <s id="s.004194">
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              359</s>
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            <p type="main">
              <s id="s.004196">Problema primum ex ſe clarum eſt.</s>
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              <s id="s.004197">In 2. problema. </s>
              <s id="s.004198">In verba illa
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              (Sed quemadmodum linea bipedalis non
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                <figure id="id.009.01.246.1.jpg" place="text" xlink:href="009/01/246/1.jpg" number="153"/>
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              duplum, ſed quadruplum quoddam deſcribit,
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              ſic, &c.)
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              ideſt, quemadmodum linea bi­
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              pedalis, quæ quamuis ſit dupla lineæ pedalis non
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              tamen deſcribit quadratum duplum quadrati il­
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              lius, ſed quadruplum: vt probatur in ſcholio 4.
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              2. Elem. & videre eſt in hac figura, vbi linea A B,
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              eſt dupla lineæ A C. quadratum verò lineæ A B,
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              ſcilicet quadratum A B D E, eſt
                <expan abbr="quadruplũ">quadruplum</expan>
              qua­
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              drati lineæ A C, quadrati nimirum A C F G. re­
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              liqua huius textus manifeſta ſunt</s>
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            <p type="main">
              <s id="s.004199">Scias Lector, me nullum, horum de Muſica Problematum (quemadmo­
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              dum & in pluribus alijs mathematicis locis accidit) vidiſſe expoſitorem,
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              præter vnum Petrum Aponentem, quem tamen tanquam omninò his rebus
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              elucidandis ineptum, reieci.</s>
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