Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              exterior turbinis portio motu orbis conuoluitur; </s>
              <s id="N26DEE">v.g. turbo B mouetur
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              motu orbis per arcum EHF; </s>
              <s id="N26DF6">igitur motu circulari centri vel axis moue­
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              bitur per DK, ſi ſupponatur erectus perpendiculariter in plano LDK; </s>
              <s id="N26DFC">
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              ratio eſt, quia circularis axis determinatur à circulari orbis; igitur vter­
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              que fit in
                <expan abbr="eãdem">eandem</expan>
              partem. </s>
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              <s id="N26E09">Vndecimò, diuerſa ſcabrities plani in quo circumagitur turbo mul­
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              tùm immutat turbinationis modum; tunc enim vel diuerſa plani incli­
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              natî ratio, vel diuerſæ quaſi foſſulæ, vel inſenſibiles ſcopuli turbinem eò
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              ſæpe adigunt, quo impreſſi motus indoles minimè ferret. </s>
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              Duodecimò, licèt imprimatur motus rectus axi per adductionem, vel
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              emiſſionem funiculi, non tamen mouetur axis motu recto; quia hic mo­
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              tus rectus ab ipſo motu orbis immutatur, ita vt ex vtroque motus fiat
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              mixtus, ipſeque adeò axis motu quaſi ſpirali, reliquæ verò partes inæ­
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              quali motu circumagantur. </s>
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              <s id="N26E22">Decimotertiò, quando axis mouetur motu circulari, poteſt eſſe circu­
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              lus, quem deſcribit maior vel minor; </s>
              <s id="N26E28">ſi maior eſt, iſque duplus circuli
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              baſis trochi ſingula puncta baſis deſcribunt lineam cordis, dum motus
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              orbis, & axis æquali numero circulorum conſtent; </s>
              <s id="N26E30">ſi verò axis deſcribit
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              circulum æqualem baſi,
                <expan abbr="ſitq́ue">ſitque</expan>
              numerus circulorum
                <expan abbr="vtriuſq́ue">vtriuſque</expan>
              motus æ­
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              qualis, deſcribit quodlibet punctum periphæriæ baſis lineam nouam,
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              cuius ſchema hic habes, ſit enim circulus, quem deſcribit punctum
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              axis, quod eſt centrum baſis ſupremæ trochi,
                <expan abbr="AHKq;">AHKque</expan>
              ſitque baſis ipſa
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              circulus EDBC; </s>
              <s id="N26E4A">hoc poſito moueatur centrum A per circulum AHK
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              Q, cum erit in G, erit in F, cum in H erit in D, cum in D, erit in L; &c. </s>
              <s id="N26E50">
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              igitur punctum periphæriæ baſis E deſcribit ſuo motu lineam curuam
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              EFADLMPCAE, quæ ſuas habet proprietates, de quibus ſuo loco. </s>
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              <s id="N26E58">Decimoquartò, obſeruas, niſi fallor, mirabilem huius motus analo­
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              giam; </s>
              <s id="N26E5E">ſit enim centrum circuli, qui circa alium immobilem conuertitur,
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              decurrat circulum duplò maiorem, deſcribit lineam cordis, de qua ſuprà,
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              ſi maiorem duplo (eâ tamen lege vt centrum, & orbis æquali tempore
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              ſuum circulum decurrant) deſcribitur linea, quæ accedit propiùs ad cir­
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              culum; </s>
              <s id="N26E6A">ſi verò circulus centri ſit æqualis circulo orbis, habes lineam in
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              ſuperiore ſchemate, quæ geminum
                <expan abbr="circulũ">circulum</expan>
              imperfectum præfert, qui eò
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              propiùs ad ſe inuicem
                <expan abbr="accedũt">accedunt</expan>
              , quo circulus centri minor eſt; </s>
              <s id="N26E7A">cùm enim
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              nullus eſt omninò
                <expan abbr="cẽtri">centri</expan>
              circulus, tunc ambo circuli imperfecti in vnum
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                <expan abbr="perfectũ">perfectum</expan>
              coëunt; ſi verò circulus centri ſit minor duplò, ſed maior æquali,
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              minor erit ſuperior illa figura EFA, &c. </s>
              <s id="N26E8B">donec tandem vbi circulus cen­
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              tri eſt duplus circuli orbis vnica tantùm figura deſcribatur, ſcilicet linea
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              cordis. </s>
              <s id="N26E92">Sed de his omnibus fusè ſuo loco; ſunt enim mirificæ harum
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              linearum proprietates. </s>
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              <s id="N26E9A">Decimoquintò, ſaltitat initio proiectus turbo; </s>
              <s id="N26E9E">ratio eſt, quia motus
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              centri maior eſt; </s>
              <s id="N26EA4">igitur ob maiorem affrictum ſæpiùs reſilit; quod pro­
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              fectò non accideret, ſi planum læuigatiſſimum eſſet, & ferreus mucro
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              politiſſimus hinc ſtatim primus ille ardor deferueſcit, & miliùs turbi­
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              natur. </s>
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