Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              Theorema
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              67.
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            <p id="N13ABC" type="main">
              <s id="N13ABE">
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              Hinc paradoxon egregium ſi quod aliud; </s>
              <s id="N13AC4">globus percuſſus ab alio eadem
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              ſemper velocitate mouetur, ſiue moueretur inſtanti percuſſionis, ſiue ſi­
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              ſteret.
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              v. g. ſit globus A quieſcens, cui imprimantur ab alio B 40. gra­
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              dus velocitatis: id eſt æqualis impetus impetui percutientis, iam verò
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              moueatur A, cum 20. grad. velocitatis, & B, qui mouetur cum 40.
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              impingatur, certè cum impediatur tantùm ſubduplum motus, produce­
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              tur tantùm ſubduplum impetus, id eſt 20. qui ſi addantur 20. grad. erunt
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              40. quæ omnia conſtant per Th.49.48.&c. </s>
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            <p id="N13AE1" type="main">
              <s id="N13AE3">
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                <emph type="italics"/>
              Corollarium
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              1.
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              </s>
            </p>
            <p id="N13AF0" type="main">
              <s id="N13AF2">Hinc æquale ſemper ſpatium percuſſus globus conficit, ſiue ante per­
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              cuſſionem moueretur, ſiue quieſceret. </s>
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                <emph type="italics"/>
              Corollarium
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              2.
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              </s>
            </p>
            <p id="N13B06" type="main">
              <s id="N13B08">Hinc ſi ſecundò percutiatur idem globus, ſpatium totum, quod per­
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              currit tùm à primò, tùm à ſecundo ictu eſt maius eo, quod à primo ictu
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              confeciſſet, ſi non fuiſſet ſecundò percuſſus; maius inquam ſegmento ſpa­
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              tij interiecto inter primum & ſecundum ictum. </s>
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            <p id="N13B12" type="main">
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              Corollarium
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              3.
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              </s>
            </p>
            <p id="N13B21" type="main">
              <s id="N13B23">Hinc reiicies aliquos, quorum ſententiam habes apud Doctum Mer­
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              ſennium,
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              in prop.
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              20.
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              phæn. mech. quorum ſunt hæc verba; </s>
              <s id="N13B32">ſi malleus pilam
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              currentem eodem, ac anteà modo percutiat, nonam ſui motus partem; ſi verò
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              currentem tertia vice percutiat, vnam vigeſimam ſeptimam ſui motus par­
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              tem ei tribuet, atque ita deinceps.
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              </s>
              <s id="N13B3E"> Supponit primò hæc ſententia mal­
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              leum eſſe duplum pilæ percuſſæ. </s>
              <s id="N13B43">Secundò, malleum imprimere pilæ ſub­
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              duplæ ſubtriplum motum; quod falſum eſt, vt conſtat ex Th 6. & Co­
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              roll. </s>
              <s id="N13B4B">1. Præterea, licètin primà percuſſione imprimeret tantùm prædi­
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              ctæ pilæ ſubtriplum impetum, in ſecunda percuſſione maiorem impri­
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              meret poſt longiorem motum, vbi iam ad quietem propiùs accedit; </s>
              <s id="N13B53">mi­
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              norem verò paulò poſt initium motus, vt conſtat ex dictis, & ex ipſa ex­
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              perientia; </s>
              <s id="N13B5B">poteſt quidem in aliquo puncto ſui motus ſecunda vice per­
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              cuti, in quo ſubtriplum tantùm motum imprimet; </s>
              <s id="N13B61">hoc eſt eo inſtanti­
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              quo tantùm amiſit tertiam fui impetus partem; </s>
              <s id="N13B67">tum deinde in tertia
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              percuſſione poteſt tantùm (1/27) motus partem illi tribuere; </s>
              <s id="N13B6D">eo ſcilicet in­
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              ſtanti, quo tantùm amiſit (1/27) ſui impetus partem; </s>
              <s id="N13B73">ſed in alijs temporis
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              punctis longè alia erit impetus producti ratio; Igitur tota hæc progreſ­
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              ſio gratis omninò fuit excogitata. </s>
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              Corollarium
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              4.
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              </s>
            </p>
            <p id="N13B8A" type="main">
              <s id="N13B8C">Hinc etiam poſt ſecundam percuſſionem æquale ſpatium conficiet al­
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              teri, quod iam confecit poſt primam æqualibus temporibus; </s>
              <s id="N13B92">igitur æqua­
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              lis eſt velocitas vtriuſque motus; </s>
              <s id="N13B98">quia ſcilicet, ſi eſt æqualis impetus, eſt
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              qualis motus: Ex his maximam carum dubitationum partem ſoluere po­
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              teris quæ in eadem Merſenni propoſitione courinentur reliquas vero ex
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              dicendis infrà. </s>
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