Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N23C18" type="main">
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              Corollarium
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              9.
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              </s>
            </p>
            <p id="N23C26" type="main">
              <s id="N23C28">Nonò colligo hoc impedimentum facere quidem, ne tantus impetus
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              nouus accidat, non tamen facere vt productus antè pereat; </s>
              <s id="N23C2E">quippe ni­
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              hil impetus antè producti deſtruitur per ſe; </s>
              <s id="N23C34">licèt determinatio noua per
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              Tangentem nouam accedat in ſingulis punctis; </s>
              <s id="N23C3A">nihil tamen impetus eſt
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              fruſtrà; </s>
              <s id="N23C40">vt in reflexione dictum eſt, adde quod determinatio prior, nihil
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              prorſus confert; </s>
              <s id="N23C46">quia tota impeditun à potentia retinente in A immo­
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              biliter; dixi per ſe, quia per accidens propter aliquam tenſionem chor­
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              dæ poteſt aliquid deſtrui, quæ tenſio eſt prorſus per accidens. </s>
            </p>
            <p id="N23C4E" type="main">
              <s id="N23C50">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
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              10.
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              </s>
            </p>
            <p id="N23C5C" type="main">
              <s id="N23C5E">Decimò colligo inde reddi rationem à priori, cur ille motus vibra­
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              tionis funependuli ſit acceleratus; </s>
              <s id="N23C64">quia impetus additur ſingulis inſtan­
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              tibus, & nihil deſtruitur; </s>
              <s id="N23C6A">immò ſi deſtrueretur iuxta rationem prædicti
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              impedimenti, & pondus eſſet in H, cùm ratio impedimenti ſit SO, &
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              ratio noui impetus CH æqualis SO; </s>
              <s id="N23C72">haud dubiè in H
                <expan abbr="tantũdem">tantundem</expan>
              pro­
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              duceretur impetus, quantum deſtrueretur; igitur nullum ſentiretur pon­
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              dus in H, quod abſurdum eſt. </s>
            </p>
            <p id="N23C7E" type="main">
              <s id="N23C80">
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                <emph type="italics"/>
              Theorema
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              12.
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              </s>
            </p>
            <p id="N23C8C" type="main">
              <s id="N23C8E">
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              Velocitates acquiſitæ in funependulis inæqualibus ſunt vt altitudines
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              ; ſit
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              enim in figura. </s>
              <s id="N23C99">Th. 10. Funependulum maius AH, minus GH; </s>
              <s id="N23C9D">ſit vi­
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              bratio minoris FYH; </s>
              <s id="N23CA3">ſit vibratio maioris DKH: </s>
              <s id="N23CA7">dico velocitatem
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              acquiſitam in prima vibratione eſſe ad acquiſitam in ſecunda, vt AH ad
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              GH; </s>
              <s id="N23CAF">ſi verò vibratio maioris ſit tantùm LKH; </s>
              <s id="N23CB3">dico eſſe æqualem ve­
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              locitatem vtriuſque, quæ omnia patent ex dictis: hinc ſeruari poſſunt
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              quæ cumque proportiones ictuum inflictorum à malleis, vel ſimul, vel
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              ſucceſſiue, &c. </s>
            </p>
            <p id="N23CBD" type="main">
              <s id="N23CBF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              13.
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              </s>
            </p>
            <p id="N23CCB" type="main">
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              Ex dictis poſſunt multa determinari, ſeu cognoſci primo cognito numero vi­
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              brationum funependulorum inæqualium, quæ eodem tempore peraguntur, co­
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              gnoſci poſſunt altitudines, ſeu longitudines funium
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              ; </s>
              <s id="N23CDA">ſunt enim longitudines,
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              vt quadrati numerorum permutando; </s>
              <s id="N23CE0">ſint enim duo funependula A, &
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              B, & numerentur vibrationes 5. penduli A & 7. penduli B æquali tem­
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              pore; aſſumantur quadrati vtriuſque 25. & 49. certè longitudo penduli
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              A, erit ad longitudinem penduli B vt 49. ad 25. Secundò, ex cognita
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              minima longitudine cognoſcitur maxima v.g.ſit funependulum tripeda­
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              le, cuius integra vibratio tempore vnius ſecundi minuti peragitur, vt
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              aliqui volunt (quod tantùm exempli gratia aſſumptum ſit) numerentur. </s>
              <s id="N23CF0">
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              v.g. 10. vibrationes huius tripedalis funependuli eo tempore, quo duæ
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              æntùm vibrationes alterius maioris numerantur; ſint quadrati 100. &
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              4. certè longitudo maioris eſt ad longitudinem maioris vt 4. ad 100.igi­
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              tur ſi 4. dant 100. quid dabunt 3. habeo 75. igitur longitudo maioris
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              funependuli eſt 75. pedum. </s>
              <s id="N23CFF">Tertiò, poteſt cognoſci altitudo putei quan­
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              tumuis altiſſimi, vel alterius loci editi, ex quo demittitur corpus graue; </s>
              <s id="N23D05"/>
            </p>
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