Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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            <p id="N24B33" type="main">
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              ſit enim corpus oblongum AB vibratum circa centrum immobile A
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              per arcum BC, ſitque pendulum pondus C fune CA, demiſſum, & vi­
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              bratum per arcum BC; </s>
              <s id="N24B50">certè tardiùs funependulum hoc arcum BC per­
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              curret, quàm corpus oblongum, quod multis experimentis comprobatum
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              eſt; </s>
              <s id="N24B58">ratio eſt, quia in pondere funependulo ſolum pondus E cenſeri de­
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              bet cauſa motus; </s>
              <s id="N24B5E">quippe, licèt funis aliquid conferat; </s>
              <s id="N24B62">quia tamen tam
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              exilis eſſe poteſt, vt vix quidquam addat póderis, pro nihilo computatur; </s>
              <s id="N24B68">
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              igitur totus motus eſt ab ipſo pondere pendulo; at verò in corpore ob­
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              longo AB, quod ſit v. g. parallelipedum, vel cylindricum, non tantùm eſt
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              motus à puncto B, verùm etiam à punctis FE, &c. </s>
              <s id="N24B75">cum enim punctum
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              F, v. g. ſi ſeorſim ſumatur, percurrat arcum FG citiùs quàm punctum B
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              ſeorſim arcum BC, certè punctum F, quaſi deorſum rapit punctum B igi­
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              tur totum corpus AB citiùs abſoluit ſuam vibrationem, quàm funepen­
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              dulum, quod erat probandum. </s>
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            <p id="N24B84" type="main">
              <s id="N24B86">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              40.
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              </s>
            </p>
            <p id="N24B92" type="main">
              <s id="N24B94">
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              Vt ſuſtineatur corpus oblongum AB, faciliùs ſuſtinetur in B, quàm in P,
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              & in F, quàm in E, & in E quàm in H,
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              atque ita deinceps (ſuppono autem,
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              quòd poſſit volui circa centrum A) ratio clara eſt ex vecte, de quo ſuo
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              loco; immò licèt AB penderet tantùm vnam vnciam, poſſet aliquod
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              aſſignari punctum iuxta A, in quo ab homine robuſtiſſimo ſuſtineri non
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              poſſet in ſitu horizontali AB. </s>
            </p>
            <p id="N24BA8" type="main">
              <s id="N24BAA">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              41.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24BB6" type="main">
              <s id="N24BB8">
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              Si deſcendat cylindrus AB in AC circa centrum A, & occurrat in AC
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              alteri corpori, ictum maximum infliget ex puncte F, ſi AF eſt media pro­
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              portionalis inter AE, AB, & habeatur tantum ratio impetus abſolutè ſumpti
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              ; </s>
              <s id="N24BC5">
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              hoc fuit iucundiſſimum Theorema, quod in lib. 1. demonſtrauimus; </s>
              <s id="N24BCA">ne­
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              que hîc repeto; </s>
              <s id="N24BD0">vnum tantùm addo valdè paradoxon in punctum G eſſe
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              maximum ictum, non tamen maximam vim, ſcilicet ad mouendum; </s>
              <s id="N24BD6">
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              nam in D maior erit vis, quàm in G, & in I, quàm in D; erit tamen mi­
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              nor motus, ſeu minor impreſſio. </s>
            </p>
            <p id="N24BDD" type="main">
              <s id="N24BDF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              42.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N24BEB" type="main">
              <s id="N24BED">
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              In maiori proportione deſtruitur impetus in aſcenſu vibrationis eiuſdem
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              corporis oblongi, quam in aſcenſit vibrationis funependuli
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              ; </s>
              <s id="N24BFA">conſtat certè cla­
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              riſſimis experimentis; </s>
              <s id="N24C00">ratio eſt, quia plures partes impetus innati reſi­
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              ſtunt; quippè impetus innatus funis tam paruus eſt, vt pro nullo ha­
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              beatur. </s>
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            <p id="N24C08" type="main">
              <s id="N24C0A">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              43.
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              </s>
            </p>
            <p id="N24C16" type="main">
              <s id="N24C18">
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              Hinc ſunt pauciores vibrationes corporis oblongi, quàm funependuli,
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              cum
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              ſinguli aſcenſus plùs impetus deſtruant in vibrationibus corporis ob­
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              longi, quàm funependuli: </s>
              <s id="N24C2B">Hinc citiùs quieſcit corpus oblongum vibra­
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              tum, quàm funependulum; </s>
              <s id="N24C31">licèt vtrumque ex eadem altitudine demitta­
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              tur; quod etiam multis experimentis comprobatur, & ratio patet ex
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              dictis. </s>
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