Monantheuil, Henri de, Aristotelis Mechanica, 1599

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              <p type="main">
                <s id="id.002533">
                  <pb xlink:href="035/01/207.jpg" pagenum="167"/>
                  <emph type="italics"/>
                tur orbitæ, quam ſeorſum maior conficeret: altero, vt orbita maioris
                  <lb/>
                adæquetur orbitæ, quam ſeorſum minor conficeret.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002534">At cum ſeorſim.]
                  <emph type="italics"/>
                Problematis propoſiti difficultas declara­
                  <lb/>
                tur ex orbita, quam ſinguli ſeorſim voluti faciunt. </s>
                <s id="id.002535">Hæc enim ſem­
                  <lb/>
                per è maiore maior eſt, è minore minor, & quidem proportione re­
                  <lb/>
                ſpondens magnitudini peripheriarum.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002536">Præterea vno.]
                  <emph type="italics"/>
                Duo modi æquationis prædicti explicantur in
                  <lb/>
                habentibus idem centrum.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002537">Quod igitur maiorem.]
                  <emph type="italics"/>
                Confirmatio eſt difficultatis allatæ
                  <lb/>
                ex euidentia per ſenſum. </s>
                <s id="id.002538">Si quis enim notato puncto vt A circumuo­
                  <lb/>
                lutionis primo, & quidem circulum maiorem & minorem ſuper re­
                  <lb/>
                ctam plani circumuoluat, quouſque redierit contactus in eodem pun­
                  <lb/>
                cto maioris circuli maior recta: minoris minor erit per agrata. </s>
                <s id="id.002539">Sed
                  <lb/>
                & anguli è ſemidiametris conſtituti ( quos angulos circuli vocat
                  <lb/>
                hic Ariſtoteles ) baſes quæ ſunt peripheriæ, euidenter inæquales ſunt.
                  <lb/>
                </s>
                <s id="id.002540">In maiore circulo maior: in minore minor ( Sed & hanc euidentiam,
                  <lb/>
                ne qua eſſet dubitatio, demonſtratione primo capite huius libri de­
                  <lb/>
                monſtrauimus. ) </s>
                <s>Erunt igitur & orbitæ inæquales & proportione
                  <lb/>
                reſpondentes baſibus angulorum è ſemidiametris conſtitutorum.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="id.002541">Attamen quod circa.]
                  <emph type="italics"/>
                Problematis propoſiti veritas demon­
                  <lb/>
                ſtratur figura geometrica in vtroque modo. </s>
                <s id="id.002542">Nam poſito quod
                  <emph.end type="italics"/>
                  <foreign lang="el">a h z</foreign>
                  <lb/>
                  <emph type="italics"/>
                perpendiculariter inſiſtat pla­
                  <emph.end type="italics"/>
                  <lb/>
                  <figure id="id.035.01.207.1.jpg" xlink:href="035/01/207/1.jpg" number="77"/>
                  <lb/>
                  <emph type="italics"/>
                no, & ad rectam
                  <emph.end type="italics"/>
                  <foreign lang="el">z i. </foreign>
                  <emph type="italics"/>
                Tum
                  <emph.end type="italics"/>
                  <foreign lang="el">h q</foreign>
                  <lb/>
                  <emph type="italics"/>
                rectos angulos faciat, ſicque il­
                  <lb/>
                las tangat in punctis
                  <emph.end type="italics"/>
                  <foreign lang="el">h</foreign>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">z,</foreign>
                  <lb/>
                  <emph type="italics"/>
                cum quarta pars peripheriæ
                  <emph.end type="italics"/>
                  <foreign lang="el">h b</foreign>
                  <lb/>
                  <emph type="italics"/>
                erit reuoluta: ita vt
                  <emph.end type="italics"/>
                  <foreign lang="el">a b</foreign>
                  <emph type="italics"/>
                rur­
                  <lb/>
                ſus ad rectos ſit ad rectam
                  <emph.end type="italics"/>
                  <foreign lang="el">h q,</foreign>
                  <lb/>
                  <emph type="italics"/>
                ipſamque tangat, vt in puncto
                  <emph.end type="italics"/>
                  <lb/>
                  <foreign lang="el">k</foreign>
                :
                  <emph type="italics"/>
                tunc &
                  <emph.end type="italics"/>
                  <foreign lang="el">a g</foreign>
                  <emph type="italics"/>
                etiam ad re­
                  <lb/>
                ctos erit ſuper
                  <emph.end type="italics"/>
                  <foreign lang="el">z i,</foreign>
                  <emph type="italics"/>
                & ſit vt
                  <lb/>
                tangat in puncto
                  <emph.end type="italics"/>
                  <foreign lang="el">l. </foreign>
                  <emph type="italics"/>
                </s>
                <s>Erunt pro
                  <lb/>
                29. prop. lib. 1. </s>
                <s>Duæ
                  <emph.end type="italics"/>
                  <foreign lang="el">z h</foreign>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">k l</foreign>
                  <emph type="italics"/>
                parallelæ & æquales, ex hypoth.
                  <lb/>
                </s>
                <s id="id.002543">Ergo quæ eas ad eaſdem partes iungunt rectæ
                  <emph.end type="italics"/>
                  <foreign lang="el">z l</foreign>
                  <emph type="italics"/>
                &
                  <emph.end type="italics"/>
                  <foreign lang="el">h k</foreign>
                  <emph type="italics"/>
                erunt
                  <lb/>
                æquales, prop 34. eiuſdem. </s>
                <s id="id.002544">Sunt autem orbitæ ab vtriſque confectæ
                  <lb/>
                eadem celeritate motis. </s>
                <s id="id.002545">Eadem ratiocinatione cum
                  <emph.end type="italics"/>
                  <foreign lang="el">a g</foreign>
                  <emph type="italics"/>
                tanget in
                  <emph.end type="italics"/>
                </s>
              </p>
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