Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              <s id="N26880">Septimò, cum proijcitur globus per inclinatam, mouetur motu mixto
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              ex tribus ſcilicet ex recto violento centri, ex naturali deorſum & ex cir­
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              culari orbis, eſtque idem motus, qui eſſet, ſi globus rotaretur in plano
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              curuo ferè parabolico; </s>
              <s id="N2688A">quippe centrum deſcribit hanc lineam; ſed linea
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              centri eſt ſemper parallela plano, in quo rotatur globus. </s>
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              <s id="N26892">Octauò, cum rotatur globus in plano decliui per lineam inclinatam
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              mouetur motu mixto ex tribus, ſcilicet ex duobus rectis centri, & circu­
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              lari orbis; </s>
              <s id="N2689A">hic motus ſimilis eſt priori; </s>
              <s id="N2689E">quippe centrum deſcribit ferè Pa­
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              rabolam; hinc facilis methodus deſcribendæ Parabolæ ex iactu globuli
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              atramento tincti, quam etiam tradit Galileus. </s>
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              <s id="N268A9">Nonò, ſi globi alterum hemiſphærium ſit grauius, cum rotatur in recto
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              plano, deflectit in cam partem quam ſpectat hemiſphærium grauius; </s>
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              imò deinde detorquetur in oppoſitam, eſtque motus mixtus ex duobus
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              circularibus, altero ſcilicet librationis, altero gyri rotatilis, & recto cen­
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              tri; </s>
              <s id="N268B8">porrò mouetur centrum motu curuo qui aliquando accedit propiùs
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              ad circularem; </s>
              <s id="N268BE">huc etiam reuoca motum paropſidis rotulæ, quæ in mul­
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              tos agitur gyros & ſpiras; quia præualet portio grauior, eóque detorquet
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              centrum motus. </s>
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              <s id="N268C8">Decimò, hinc quod iucundum eſſet, ſi huiuſmodi globum in datum
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              ſcopum proijceres; </s>
              <s id="N268CE">haud dubiè alium feriret; </s>
              <s id="N268D2">igitur vt ſcopum ſignatum
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              tangas, aliò collimare debes; </s>
              <s id="N268D8">porrò linea huius motus eadem eſt, quæ
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              eſſet, ſi globus rotaretur in linea parallela lineæ, quam deſcribit cen­
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              trum; </s>
              <s id="N268E1">quæ vel eſt ſpira, vel circulus, vel alia curua, iuxta diuerſam con­
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              iugationem motum; illa autem facilè haberi poteſt ex dictis ſuprà. </s>
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              <s id="N268E9">Vndecimo, ſi in plano recto ita rotetur cylindrus, vt ſinguli circuli
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              paralleli baſi rotentur æqualiter, ſinguli circuli mouentur motu mixto
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              ex recto centri, & circulari orbis, eſtque hic motus ſimilis motui rotæ
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              in plano recto, de quo ſuprà. </s>
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              <s id="N268F4">Duodecimò, ſi verò ita rotetur, vt altera eius extremitas velociore
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              motu feratur, eſt alius motus mixtus ex curuo axis & circulari orbis,
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              dixi curuum axis; quia non eſt neceſſariò circularis. </s>
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              <s id="N268FE">Decimotertiò, cum rotatur conus, mouetur motu mixto ex curuo axis
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              & circulari orbis, hic motus ſatis communis eſt; eius porrò ratio eſt; </s>
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              quia cùm ſinguli circuli ſuperficiei coni ita rotentur, vt motus orbis ſu
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              æqualis motui centri; certè cùm ſint omnes inæquales, ſpatium decur­
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              runt. </s>
              <s id="N2690D">Hinc vertex retrò relinquitur à baſi; </s>
              <s id="N26911">hinc baſis neceſſariò retor­
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              quetur; </s>
              <s id="N26917">dixi autem curuum axis; </s>
              <s id="N2691B">quippe centrum baſis non mouetur
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              motu purè circulari; nam tantillùm verticem promouet, quia motus
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              eius centri maximè iuuatur à motu eius orbis, qui longè maior eſt. </s>
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              <s id="N26925">Decimoquartò, huc demum reuoca gyros illarum pyxidum, quarum
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              margines oppoſiti ſunt circuli inæquales; quippe ſunt veluti fruſta co­
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              ni, cuius angulus verticis eſt valde acutus. </s>
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              Theorema
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              28.
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              Morus diſci facilè explicari potest;
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              ; </s>
              <s id="N26946">eſt enim planum circulare, cuius </s>
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