Fabri, Honoré, Dialogi physici in quibus de motu terrae disputatur, 1665

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    <archimedes>
      <text>
        <body>
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            <p type="main">
              <s id="s.000227">
                <pb pagenum="18" xlink:href="025/01/022.jpg"/>
              Apògæum, quod repugnat; nec etiam in latere coni. </s>
              <s id="s.000228">Sit enim DH re­
                <lb/>
              cta; ſitque exempli gratia HE 1/
                <gap/>
              ferè totius AE; haud dubiè AX eſt
                <lb/>
              brevior AH vt conſtat ex Trigonometria; accedit enim propiùs ad per­
                <lb/>
              pendicularem; omitto calculos, quia res eſt perſpicua, etiam tyronibus
                <lb/>
              Geometris; dixi 1/
                <gap/>
              . exempli gratia, cùm re ipſa minor ſit. </s>
            </p>
            <p type="main">
              <s id="s.000229">
                <emph type="italics"/>
              Auguſtin.
                <emph.end type="italics"/>
              </s>
              <s id="s.000230"> Quæſo te, Antime, tibi perſpicuum eſt, aliis fortè non
                <lb/>
              item, memini aliquando à magno Geometra, tibi haud ignoto, audiiſſe,
                <lb/>
              cum de te, tua que hypotheſi ſermo incidiſſet, DH, eſſe latus coni. </s>
            </p>
            <p type="main">
              <s id="s.000231">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.000232"> Scio, quem intelligas, hoc etiam mihi primùm, ne quid tibi diſ­
                <lb/>
              ſimulem in mentem venerat, & maximè in votis hoc erat; ſi enim DH ſit
                <lb/>
              latus coni, volvaturque BDEC, circa Axem BC,
                <expan abbr="genitũ">genitum</expan>
              erit fruſtum ma­
                <lb/>
              jus coni, quod ſi ſecetur per Axem DL, erit ſectio elliptica ſimul, &
                <lb/>
              ecliptica, vnde Kepleri & aliorum ellipſis ex Phyſicis principiis demon­
                <lb/>
              ſtrata maneret; ſed, vt iam dixi, DH non eſt linea recta; ſi enim, ſi
                <lb/>
              fieri poteſt, ducatur recta DGE; igitur AX eſt minor AH, quod re­
                <lb/>
              pugnat, vt dixi; cùm enim angulus DAF ſit gradus 23.30. min. erit. </s>
              <s id="s.000233">DG
                <lb/>
              illius ſinus rectus; igitur AG ſinus complementi; iam verò in hoc libel­
                <lb/>
              lo tabularum ſinuum, invenio, vt vides, GA eſſe æqualem ſinui recto
                <lb/>
              anguli grad 66.30 minut. </s>
              <s id="s.000234">qui eſt ad
                <expan abbr="ſinũ">ſinum</expan>
              totum, vt 91706. ad 100000. Igi­
                <lb/>
              tur GF erit vt 8794. Igitur fere 1/1
                <gap/>
              totius AD. </s>
              <s id="s.000235">Sed HE ſupponitur 1/1
                <gap/>
              . Igi­
                <lb/>
              tur AH eſt maior AG, & potiori iure maior AX, quæ minor eſt AG:
                <lb/>
              quanquam, vt dixi, fortè E eſt minor 1/1
                <gap/>
              AE. </s>
            </p>
            <p type="main">
              <s id="s.000236">
                <emph type="italics"/>
              Anguſtinus.
                <emph.end type="italics"/>
              </s>
              <s id="s.000237"> Satis eſt; ignoſce, hæc Geometrica pene mihi exciderunt;
                <lb/>
              ſed ſi linea DQH curva eſt, vix ſciri poteſt, quænam & qualis
                <lb/>
              ſit. </s>
            </p>
            <p type="main">
              <s id="s.000238">
                <emph type="italics"/>
              Antimus.
                <emph.end type="italics"/>
              </s>
              <s id="s.000239"> Hoc etiam ſciri poteſt; eſt enim linea quædam motus mix­
                <lb/>
              ti, à magno Archimede iam olim inuenta; fac enim radium DA volui in
                <lb/>
              hoc plano circa A, motu quidem accelerato, donec perveniat ad AF,
                <lb/>
              retardato verò donec veniat ad AE, & ſimul vna punctum D ire versùs A
                <lb/>
              in radio AD mobili, motu quidem accelerato, donec decurrerit ſegmen­
                <lb/>
              tum radij æquale VE, retardato verò, tantundem; dictum punctum D
                <lb/>
              ibit per curvam DQH modò acceſſus & receſſus vtriuſque motus ſint
                <lb/>
              æquè diuturni; vnde vides curvam DQH eſſe veram ſpiralem Archi­
                <lb/>
              medis; ac proinde Sectio per axem DL, in ſolido genito à plano BDQ
                <lb/>
              HC circa axem BC revoluto, quæ munere Eclipticæ defungitur, non
                <lb/>
              eſt vera ellipſis, cuius tractatio ad præſentem quæſtionem non pertinet. </s>
            </p>
            <p type="main">
              <s id="s.000240">
                <emph type="italics"/>
              Auguſtin.
                <emph.end type="italics"/>
              </s>
              <s id="s.000241"> Iam vtcumque tuam Solarem hypotheſim concipio, vis
                <lb/>
              enim Solem ſimplici motu æquabili diurno ferri ab Ortu ad Occaſum,
                <expan abbr="cũ">cum</expan>
                <lb/>
              gemina inclinatione, eo modo, quo dixiſti; & cum vno ferè gradu ſin­
                <lb/>
              gulis diebus à ſtellis retroagatur, videtur ſemper inhærere prædictæ el­
                <lb/>
              lipticæ mobili circa eundem Mundi Axem; ita tamen vt ſpatio 24. hora­
                <lb/>
              rum quodlibet illius punctum ſuum integrum orbem decurrat, itemque
                <lb/>
              in ea moveri ab Occaſu ad Ortum, ita vt ſpatio vnius anni totam decur­
                <lb/>
              rat; ſed hic motus non eſt realis, vt vocant, ſed tantùm apparens, ita­
                <lb/>
              que hæc ſatis bene intelligo; ſed non levis difficultas mihi eſſe videtur, </s>
            </p>
          </chap>
        </body>
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    </archimedes>
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