Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

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            <p type="main">
              <s id="s.004113">
                <pb pagenum="242" xlink:href="009/01/242.jpg"/>
              ſpectemus, eas falcatas, ac lunulatas, videamus; non autem, vt ſolemus,
                <lb/>
              rotundas. </s>
              <s id="s.004114">Reſpondet, id fortè accidere, quia lux per foramen intrans, fit
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              conus natura ſua, vt in 5. problemate pręcedenti, explicatum eſt. </s>
              <s id="s.004115">& in præ­
                <lb/>
              ſenti figura conus lucis intrantis per foramen E, figuratur à lineis E F, E H,
                <lb/>
              quibus ſimiles alias plurimas debemus concipere ab E, ad circularem ba­
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              ſim F G L I, quæ turbinem perfectum efficiunt. </s>
              <s id="s.004116">alius præterea conus eſt à fo­
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              ramine ad Solem, cuius baſis eſt A B C P, circulus Solis: & continetur ſub
                <lb/>
              infinitis radijs, quorum duo ſunt A E, C E;
                <expan abbr="vterq́">vterque</expan>
              ; autem habet verticem ad
                <lb/>
              E, quia igitur plures radij ſuperioris coni deficiunt, ideò etiam in inferiori
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              deficient:
                <expan abbr="eritq́">eritque</expan>
              ; ſitus eorum inuerſus ob radiorum interſectionem ad pun­
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              ctum E,
                <expan abbr="eritq́">eritque</expan>
              ; ſplendor in tabella apparens lunulatus, quia ex parte Solis
                <lb/>
              pariter lunulata producitur. </s>
              <s id="s.004117">cætera ſatis ſunt per ſe clara.</s>
            </p>
            <p type="head">
              <s id="s.004118">
                <emph type="italics"/>
              Ex Sectione 16.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.004119">
                <arrow.to.target n="marg343"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.004120">
                <margin.target id="marg343"/>
              351</s>
            </p>
            <p type="main">
              <s id="s.004121">In 1. problema
                <emph type="italics"/>
              (Cur baſes bullarum in aquis ſunt albæ; & ſi in Sole ponan­
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              tur, non faciunt vmbram; ſed bullæ reliquum vmbram facit, baſis verò non
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              facit, ſed circulariter à Sole illuminatur. </s>
              <s id="s.004122">quod verò mirabilius eſt, quod
                <expan abbr="neq;">neque</expan>
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              ſi quodpiam lignum in aquam inferatur in Sole, hæc ſub aqua diuiduntur.
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              </s>
              <s id="s.004123">An non fit vmbra, ſed à Sole diſſipatur vmbra? </s>
              <s id="s.004124">fi igitur vmbra est non inſpectum,
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              & à Sole circulariter inſpicitur moles: hoc verò impoſſibile eſſe oſtenditur in Op­
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              ticis. </s>
              <s id="s.004125">
                <expan abbr="neq;">neque</expan>
              enim minimum, à maximo totum conſpici poteſt)
                <emph.end type="italics"/>
              Cùm ex ipſius textus
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              verbis ſatis perſpicuè appareat, quid proponatur, reliqua ſic breuiter ex­
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              ponam. </s>
              <s id="s.004126">quod igitur de ligno ait, exiſtimo hoc modo
                <expan abbr="accipiendũ">accipiendum</expan>
              , vt lignum
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              illud in aqua ponatur ſub bulla, ita vt vmbra bullæ cadat ſuper ipſum,
                <expan abbr="tũcq́">tuncque</expan>
              ;
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              vmbra illius ſimiliter apparebit defectiua, quia baſis illuminatio ipſam ex
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              parte deſtruet. </s>
              <s id="s.004127">Reſpondet, An non fit vmbra, ſed à Sole vmbra fugatur?
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              </s>
              <s id="s.004128">quæ verba ſubobſcura ſunt;
                <expan abbr="neq;">neque</expan>
              reſponſio videtur allata ad ſoluendum pro­
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              blema, ſed ad eum magis confirmandum. </s>
              <s id="s.004129">deinde ait: ſi igitur nihil aliud eſt
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              vmbra, quam id, quod non aſpicitur à Sole, & à Sole tamen videamus illu­
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              minari totam bullæ baſim circulariter, neceſſe eſt totam etiam bullam
                <expan abbr="vn-diq;">vn­
                  <lb/>
                dique</expan>
              à Sole illuminari, & conſpici, quod tamen impoſſibile eſſe demonſtra­
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              tur ab opticis: ipſi enim demonſtrant, nullum corpus, quantumuis mini­
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              mum, totum poſſe circumſpici à quamuis maximo illuminante. </s>
              <s id="s.004130">quod qui­
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              dem antiquitus demonſtrauit Ariſtarchus Samius in libello de diſtantijs So­
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                <figure id="id.009.01.242.1.jpg" place="text" xlink:href="009/01/242/1.jpg" number="150"/>
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              lis, & Lunæ: &
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              poſtea Vitellio
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              lib. 2. propoſ. </s>
              <s id="s.004131">27.
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              & ex figura præ­
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              ſenti facilè eſt id
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              intelligere:
                <expan abbr="ĩ">i</expan>
              n qua
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              ſit Sol ſphæra A,
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              illuminans ſphæ­
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              rulam B, extre­
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              mi radij DF, </s>
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