Fabri, Honoré, Tractatus physicus de motu locali, 1646

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          <chap id="N1137F">
            <pb pagenum="58" xlink:href="026/01/090.jpg"/>
            <p id="N14BD8" type="main">
              <s id="N14BDA">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14BE6" type="main">
              <s id="N14BE8">Obſeruabis, quod aliquando in mentem venerat; </s>
              <s id="N14BEC">ſcilicet, verſus cen­
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              trum produci maiorem numerum in ratione diſtantiarum permutando; </s>
              <s id="N14BF2">
                <lb/>
              & imperfectiorem in ratione duplicata earumdem diſtantiarum, etiam
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              permutando, v. g. ſit idem vectis AC ſectus bifariam in B; </s>
              <s id="N14BFD">in puncto
                <lb/>
              B producitur numerus duplus producti in A; </s>
              <s id="N14C03">at verò perfectio impetus
                <lb/>
              in B eſt ad perfectionem impetus in A, vt quadratum BC ad quadra­
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              tum AC; </s>
              <s id="N14C0B">vel in ratione ſubquadrupla, licèt tota collectio impetus B
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              ſit tantùm ſubdupla perfectione collectionis impetus A; </s>
              <s id="N14C11">ſed hoc profe­
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              ctò dici non poteſt; </s>
              <s id="N14C17">nam ſint in A 4. partes impetus; igitur in B erunt
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              8. applicetur autem pondus in B. </s>
              <s id="N14C1D">Primò producentur in eo partes 8.
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              impetus perfectionis ſubquadruplæ; </s>
              <s id="N14C23">ſi comparentur cum partibus A,
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              tum producentur 16. quæ æquiualent 4 A; </s>
              <s id="N14C29">igitur 24. at verò in A pro­
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              ducentur primò 4. tum deinde 2. quæ æquiualent 8. productis in B; igitur
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              6. igitur pondus, quod leuari poteſt in B, eſt ad pondus, quod leuari poteſt
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              in A, vt 24. ad 6.id eſt, in ratione quadrupla quod omninò falſum eſt. </s>
            </p>
            <p id="N14C33" type="main">
              <s id="N14C35">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              108.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14C41" type="main">
              <s id="N14C43">
                <emph type="italics"/>
              Iam facilè explicatur ex dictis, quomodo, & cuius rationis pondera attol­
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              lantur ex diuerſis punctis vectis
                <emph.end type="italics"/>
              ; ſit enim idem vectis AC, & producan­
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              tur.v.g. </s>
              <s id="N14C50">in ſingulis punctis vectis ſingula puncta impetus, ſed diuerſæ
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              perfectionis; </s>
              <s id="N14C56">haud dubiè plures partes impetus imperfecti poſſunt face­
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              re impetum æqualem in perfectione alteri, qui conſtat paucioribus, ſed
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              perfectioribus; </s>
              <s id="N14C5E">igitur cum impetus B ſit imperfectior duplò quàm im­
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              petus in A, duplò plures partes impetus producentur in B, quàm in A, er­
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              go duplò maius pondus mouebitur; atque ita deinceps; </s>
              <s id="N14C66">eum enim ap­
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              ponitur pondus in B, producuntur in eo partes impetus omnes eiuſdem
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              perfectionis; </s>
              <s id="N14C6E">quæ ſcilicet reſpondet B, id eſt, quæ eſt ſubdupla perfectio­
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              nis impetus A; </s>
              <s id="N14C74">igitur plures partes producuntur, quàm ſi eſſent perfe­
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              ctionis A; </s>
              <s id="N14C7A">ſed pauciores quàm ſi eſſent perfectionis O, quæ minor eſt;
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              quippe eadem potentia, ſeu cauſa, quæ agit quantum poteſt (quod ſup­
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              pono modò) producit æqualem effectum in perfectione, per Ax. 13. n. </s>
              <s id="N14C82">
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              4. ſed æqualis perfectio poteſt conſtare pluribus, vel paucioribus parti­
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              bus perfectionis, nam 4. pattes perfectionis vt 4. faciunt æqualem effe­
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              ctum alteri qui conſtat 8. partibus perfectionis vt 2. quod certum eſt; ſed
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              de his plura aliàs. </s>
            </p>
            <p id="N14C8D" type="main">
              <s id="N14C8F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
                <emph.end type="italics"/>
              109.
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14C9B" type="main">
              <s id="N14C9D">
                <emph type="italics"/>
              Perfectio decreſcit verſus centrum iuxta diuerſam rationem longitudinum
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              vectis, ſeu distantiarum.
                <emph.end type="italics"/>
              v.g.ſit idem vectis AC, ita decreſcit ab A verſus
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              centrum C; </s>
              <s id="N14CAA">vt impetus puncti B ſit ſubduplus in perfectione, puncti R
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              ſubtriplus: </s>
              <s id="N14CB0">iam verò ſit vectis ſubduplus prioris BC, ſectus bifariam in
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              Z; </s>
              <s id="N14CB6">ſi impetus productus in B, quę eſt extremitas minoris vectis B ſit æqua­
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              lis perfectionis cum impetu producto in A (& reuera ſunt æquales) ſi
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              æquali tempore percurrant arcus æquales, ſcilicet AV, & BD) certè im-</s>
            </p>
          </chap>
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