Fabri, Honoré, Tractatus physicus de motu locali, 1646

Table of figures

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          <chap id="N1137F">
            <p id="N1409D" type="main">
              <s id="N1409F">
                <pb pagenum="47" xlink:href="026/01/079.jpg"/>
              per Axioma illud Metaph. probari,
                <emph type="italics"/>
              Data quacumque creatura dari potest
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              perfectior, vel imperfectior.
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              </s>
            </p>
            <p id="N140B1" type="main">
              <s id="N140B3">Tertiò, ſi dato quocunque motu poteſt dari tardior: igitur dato quo­
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              cunque impetu poteſt dari imperfectior. </s>
            </p>
            <p id="N140B9" type="main">
              <s id="N140BB">Quartò, ſi daretur punctum impetus in intenſione: non poſſet dari
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              motus tardior in infinitum ſine diuerſis gradibus perfectionis. </s>
            </p>
            <p id="N140C1" type="main">
              <s id="N140C3">Quintò, ſine hac diuerſa impetus perfectione non poſſet explicari
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              productio continua impetus, quæ ſit temporibus inæqualibus, neque de­
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              ſtructio eiuſdem impetus; nec motus in diuerſis planis inclinatis, vel in­
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              diuerſis lineis citra perpendicularem, ſed de his omnibus ſuo loco. </s>
            </p>
            <p id="N140CD" type="main">
              <s id="N140CF">Sextò, Denique ratio propoſita rem iſtam euincit; </s>
              <s id="N140D3">cum enim in motu
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              vectis plures partes producantur verſus centrum, ſcilicet, in maiori pon­
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              dere, quod attollitur; & cum hæ habeant motum tardiorem, ſequitur ne­
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              ceſſariò eſſe imperfectiores. </s>
            </p>
            <p id="N140DD" type="main">
              <s id="N140DF">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              78.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N140EB" type="main">
              <s id="N140ED">
                <emph type="italics"/>
              Dato quocumque impetu dari poteſt imperfectior, & imperfectior,
                <emph.end type="italics"/>
              quia da­
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              to quocumque motu dari poteſt tardior, ergo dato quocumque impetu
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              imperfectior. </s>
            </p>
            <p id="N140F9" type="main">
              <s id="N140FB">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              79.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14107" type="main">
              <s id="N14109">
                <emph type="italics"/>
              Non poteſt explicari tarditas motus ſine diuerſa perfectione impetus, per
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              pauciores ſcilicet eiuſdem impetus partes.
                <emph.end type="italics"/>
              </s>
              <s id="N14112"> Primò, quia cum retardari poſſit
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              hic motus, & deſtrui ſucceſſinè hic impetus; </s>
              <s id="N14118">cumque inſtantia motus
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              velocioris ſint breuiora; </s>
              <s id="N1411E">certè initio motus, breuiori ſcilicet tempore
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              imperfectior impetus deſtrui tantùm poteſt; </s>
              <s id="N14124">cum enim æqualis æquali­
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              bus temporibus; certè inæqualis inæqualibus. </s>
              <s id="N1412A">Secundò quia vix explica­
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              ri poreſt quomodo duæ formæ homogeneæ in eodem ſubiecti puncto
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              exiſtere poſſint, quod etiam in commune eſt calori, lumini, &c. </s>
            </p>
            <p id="N14131" type="main">
              <s id="N14133">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              80.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1413F" type="main">
              <s id="N14141">
                <emph type="italics"/>
              Cum applicatur potentia centro vectis, non producitur æqualis impetus ver­
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              ſus circumferentiam in omnibus partibus, ſed maior verſus eandem circumfe­
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              rentiam,
                <emph.end type="italics"/>
              quia eſt maior motus. </s>
            </p>
            <p id="N1414D" type="main">
              <s id="N1414F">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
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              1.
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              </s>
            </p>
            <p id="N1415C" type="main">
              <s id="N1415E">Hinc difficiliùs attollitur pertica CA ex puncto C motu circulari,
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              quàm ex puncto B motu recto; </s>
              <s id="N14164">quia ſcilicet, cum motu recto ex puncto B
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              attollitur, omnes partes mouentur motu æquali; </s>
              <s id="N1416A">igitur impetus æqualiter
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              omnibus diſtribuitur; </s>
              <s id="N14170">igitur modò producantur tot partes impetus, quot
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              ſunt partes in mobili; </s>
              <s id="N14176">haud dubiè attolletur: </s>
              <s id="N1417A">at verò, cum motu circulari
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              ex puncto C attollitur, omnes partes inæquali motu attolluntur; </s>
              <s id="N14180">igitur
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              plures ſunt neceſſariæ, vt attollatur motu circulari; </s>
              <s id="N14186">igitur difficiliùs iuxta
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              experimentum; adde quod cum applicatur potentia in C, punctum A,
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              maius momentum habet, de quo aùàs. </s>
            </p>
            <p id="N1418E" type="main">
              <s id="N14190">
                <emph type="center"/>
                <emph type="italics"/>
              Corollarium
                <emph.end type="italics"/>
              2.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N1419D" type="main">
              <s id="N1419F">Hinc ratio euidens illius experimenti, quo manifeſtè conſtat perti-</s>
            </p>
          </chap>
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