Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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              naturaliter accelerato; </s>
              <s id="N22CCE">igitur in arcu NLE. v. g. qui habet rationem
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              plani inclinati in omnibus ſuis punctis per hypotheſim 5. Præterea ictus
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              eſt maior, quò maior eſt arcus vibrationîs; </s>
              <s id="N22CDA">igitur impetus maior; </s>
              <s id="N22CDE">igitur
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              creſcit impetus; </s>
              <s id="N22CE4">igitur motus eſt acceleratus; </s>
              <s id="N22CE8">deinde maior vibratio, &
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              minor eiuſdem penduli fiunt ferè temporibus æqualibus; </s>
              <s id="N22CEE">igitur neceſſa­
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              riò acceleratur motus: </s>
              <s id="N22CF4">Denique probatur euidenter non deſtrui totum
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              priorem impetum; </s>
              <s id="N22CFA">quia ſcilicet idem eſt impedimentum, ſi quod eſt ad
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              productionem noui, quod eſt ad conſeruationem prioris; </s>
              <s id="N22D00">ſed illud im­
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              pedimentum, id eſt inclinatio plani, non impedit productionem noui,
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              licèt minoris, vt videbimus paulò pòſt; </s>
              <s id="N22D08">quia ſcilicet in omni plano in­
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              clinato corpus graue mouetur per hypoth.4. igitur non impedit conſer­
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              uationem prioris, ſaltem totam, licèt fortè aliquid deſtrueretur, de quo
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              paulò pòſt; </s>
              <s id="N22D12">igitur acceleratur neceſſariò ille motus: </s>
              <s id="N22D16">Et hæc eſt ratio à
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              priori huius effectus, quòd ſcilicet plùs addatur impetus, quàm tollatur; </s>
              <s id="N22D1C">
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              igitur remanet maior; </s>
              <s id="N22D21">igitur velocior motus; in qua verò ratione minùs
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              deſtruatur quàm producatur, vel nouus ſit minor priore, dicemus
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              infrà. </s>
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                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              2.
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              </s>
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            <p id="N22D38" type="main">
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              In motu funependuli decreſcunt ſemper incrementa motus.
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              </s>
              <s id="N22D41"> Probatur faci­
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              lè; </s>
              <s id="N22D46">quia cùm in ſingulis punctis deſcenſus arcus NE mutetur ratio plani
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              inclinati diuerſa ab ea, quæ eſt in puncto
                <expan abbr="q;">que</expan>
              ſunt enim vt Tangentes; </s>
              <s id="N22D50">
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              certè Tangentes punctorum, quæ propiùs accedunt ad N, accedunt
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              etiam propiùs ad perpendicularem deorſum, à qua longiùs recedunt
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              Tangentes, quæ accedunt propiùs ad E, vt conſtat; </s>
              <s id="N22D59">at qui motus in planis,
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              quæ accedunt propiùs ad horizontalem, minor eſt; </s>
              <s id="N22D5F">igitur incrementa
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              motus quæ in deſcenſu NE accedunt, minora ſunt verſus E, maiora ver­
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              ſus N; igitur decreſcunt, quod erat demonſtrandum. </s>
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            <p id="N22D67" type="main">
              <s id="N22D69">Obſeruabis iam demonſtratum lib.5. Th.62.63. hæc incrementa eſſe,
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              vt ſinus arcus reſidui, quæ tu conſule, ne hic repetere cogar. </s>
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            <p id="N22D6E" type="main">
              <s id="N22D70">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              3.
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              </s>
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            <p id="N22D7D" type="main">
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              Hinc ſemper creſcit motus funependuli in deſcenſu arcus NE, ſed minori­
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              bus ſenſim incrementis
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              ; </s>
              <s id="N22D8A">quod etiam aliàs obſeruatum eſt; </s>
              <s id="N22D8E">vnde neceſſariò
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              concludo minùs accelerari in quadrante NE, quàm in perpendiculari
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              NS, quod demonſtratum eſt, & minus ſpatium percurri in arcu NE
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              æquali ſcilicet tempore, quàm in perpendiculari NS, quod neceſſarium
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              eſt: </s>
              <s id="N22D9A">Nec eſt quod aliquis ſua experimenta opponat, ſcilicet quadrantem
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              NE percurri tempore vnius ſecundi, ſi radius AE ſit tripedalis, cùm
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              alioqui perpendiculum AE graue corpus percurrat eodem tempore,
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              quorum alterum, vel potiùs vtrumque falſum eſſe neceſſe eſt; </s>
              <s id="N22DA4">nam primò
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              quadrans NE eſt maior radio AE; </s>
              <s id="N22DAA">igitur percurrit citiùs AE quàm
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              NE: ſecundò, minora ſunt motus incrementa in quadrante, quia ſin­
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              gula puncta illius habent rationem plani inclinati, quis autem tam ac­
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              curatè in tripedali
                <expan abbr="pẽdulo">pendulo</expan>
              iuſtum tempus obſeruare poſſit? </s>
              <s id="N22DB8">nec accuratæ </s>
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