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

List of thumbnails

< >
21
21
22
22
23
23
24
24
25
25
26
26
27
27
28
28
29
29
30
30
< >
page |< < of 248 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="54" xlink:href="025/01/058.jpg"/>
            <p type="main">
              <s id="s.000607">
                <emph type="italics"/>
              Auguſtin.
                <emph.end type="italics"/>
              Hæc eſt cyclois illa, quæ tot ac tantos excitavit tumultus,
                <lb/>
              de qua etiam opuſculum geometricum edidiſti; ſub nomine Antimi
                <lb/>
              Farbij. </s>
            </p>
            <p type="main">
              <s id="s.000608">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.000609"> Non agnoſcerem pro in ea lucubratiuncolam illam, ni­
                <lb/>
              ſi me
                <expan abbr="gratī">gratim</expan>
              animi ratio ſtimularet; enim verò facere non poſſum,
                <lb/>
              quin hoc loco inſignem proſectò Geometram P. Stephanum De An­
                <lb/>
              gelis digniſſimum magni illius Cavalerij diſcipulum appellem, ei­
                <lb/>
              que gratias, quam poſſum maximas agam, pro iis laudibus, qui­
                <lb/>
              bus liberaliùs certè quàm par fuiſſet, cùm iis longè inferior ſim, pro ſua
                <lb/>
              humanitate, me alioquin prorſus incognitum, ratione præfati opuſculi cu­
                <lb/>
              mulavit; ſed ad rem noſtram. </s>
              <s id="s.000610">Comparemus vtriuſque puncti motus, ſu­
                <lb/>
              premi ſcilicet atque infimi; quod vt clariùs ſuccedat, ſit arcus EP. trigin­
                <lb/>
              ta grad. punctum E, dum prædictum arcum decurrit, deferturque à cen­
                <lb/>
              tro D ſiniſtrorſum, ſcilicet versùs V, acquirit ſiniſtrorſum ratione vtriuſ­
                <lb/>
              que motus, totum ſpatium OQ, ſcilicet ratione motus orbis, rectam OP,
                <lb/>
              id eſt ſinum rectum EP, quem ſuppono eſſe 30. grad. & ratione motus
                <lb/>
              centri, rectam PQ æqualem ipſi arcui ER, tantumdem enim Spatij cen­
                <lb/>
              trum decurrit, ergo ratione vtriuſque totum ſpatium
                <expan abbr="Oq.">OQ</expan>
              Iam verò ſit
                <lb/>
              FR arcus æqualis 30. ſcilicet grad. punctum R eodem tempore motu or­
                <lb/>
              bis acquirit dextrorſum
                <expan abbr="ſpatiũ">ſpatium</expan>
              RS, & motu centri
                <expan abbr="ſũ">ſiniſtrorſum</expan>
              ſpatium FT
                <lb/>
              æquale arcui FR. exiſtis autem duobus motibus reſultat R T. </s>
              <s id="s.000611">Iam compa­
                <lb/>
              remus hæc duo ſpatia, ſcilicet. </s>
              <s id="s.000612">EQ, & RT, vel OQ, & differentiam
                <lb/>
              SR, FT, ſit DE 100000. OP, ſubdupla DE erit 50000. vt autem 7. ad
                <lb/>
              11.ita DE ad arcum EI, id eſt ad 157143.cuius terti ars ſcilicet 52381.
                <lb/>
              erit æqualis arcui EP, vel rectæ
                <expan abbr="Pq;">PQ</expan>
              igitur tota OQ, addito vno nume­
                <lb/>
              ro alteri, erit 102381. ducatur deinde per punctum R, ſecans DR, haud
                <lb/>
              dubiè cadet vltra punctum T, versùs V, nempe tangens, quæ terminatur
                <lb/>
              ad dictam ſecantem eſt ſemilatus polygoni circumſcripti; igitur major
                <lb/>
              arcu FR; igitur ſegmentum illud ſecantis ſeu differentia ſecantis, & ſinus
                <lb/>
              totius eſt maior ſpatio RT; igitur ſi ſupponamus æqualem, faciemus mo­
                <lb/>
              tú R maiorem vero; accipio igitur ſecantem arcus FR, & in canone inve­
                <lb/>
              nio 115470. ex quo numero detraho ſinum totum 100000. reſiduum erit
                <lb/>
              15470. hæc eſt RT, qùæ ferè eſt vna 7.igitur motus puncti E ad motum
                <lb/>
              puncti R toto tempore quo decurritur arcus FP, vel RS eſt vt 7.
                <lb/>
              ad 1. </s>
            </p>
            <p type="main">
              <s id="s.000613">
                <emph type="italics"/>
              Chryſocom.
                <emph.end type="italics"/>
              </s>
              <s id="s.000614"> Sed vbinam illa tua millecupla inæqualitatis proportio?
                <lb/>
              </s>
              <s id="s.000615">ad populum phaleras; vos ſanè Mathematici, multa promittitis, pau­
                <lb/>
              ca præſtatis; totum orbem movetis, & vix murum in ruinam præcipitem
                <lb/>
              ſuſtinetis. </s>
            </p>
            <p type="main">
              <s id="s.000616">
                <emph type="italics"/>
              Antim.
                <emph.end type="italics"/>
              </s>
              <s id="s.000617"> Parciùs iſta viris, Chryſocome, nam fortè aliquando incides in
                <lb/>
              manus cuiuſpiam ex iis, quos puros Geometras vocant, à quo immiſericor­
                <lb/>
              diter vapulabis, iis arma profectò non deſunt, ſagittæ ſcilicet, ſecantes,
                <lb/>
              ſecures, cunei, roſtra & vngues; expecta igitur parumper, nam pedeten­
                <lb/>
              tim cum iſta rota progredimur, accipe arcum 15. grad. id eſt ſubduplam </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>