Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              tum, niſi per aliquam lineam, vt patet; </s>
              <s id="N14E7B">ſed hoc eſt impetum eſſe de­
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              terminatum ad aliquam lineam motus; </s>
              <s id="N14E81">præterea ſi non eſt determina­
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              tus ad aliquam lineam; </s>
              <s id="N14E87">igitur indeterminatus, & indifferens per Ax.1.
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              ſed indifferens manere non poteſt; cur enim potius haberet motum
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              per vnam lineam, quàm per aliam? </s>
              <s id="N14E8F">igitur debet determinari. </s>
            </p>
            <p id="N14E92" type="main">
              <s id="N14E94">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              113.
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              </s>
            </p>
            <p id="N14EA0" type="main">
              <s id="N14EA2">
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              Impetus ad plures lineas ſeorſim indifferens eſt:
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              Probatur, quia idem im­
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              petus pilæ in aliam impactæ producit in ea impetum, qui pro diuerſo
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              contactu ad diuerſam lineam determinari poteſt; </s>
              <s id="N14EAF">præterea corpus graue
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              in diuerſis planis inclinatis deſcendit; </s>
              <s id="N14EB5">igitur per diuerſas lineas; </s>
              <s id="N14EB9">deinde
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              pila reflectitur propter impetum priorem, qui tantùm mutat lineam, vt
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              dicemus infrà; </s>
              <s id="N14EC1">adde quod funependuli vibrati impetus ſine reflexione
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              mutat lineam motus; igitur idem impetus ad plures lineas ſeorſim eſt
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              indifferens. </s>
            </p>
            <p id="N14EC9" type="main">
              <s id="N14ECB">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              114.
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              </s>
            </p>
            <p id="N14ED7" type="main">
              <s id="N14ED9">
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              Hinc idem impetus ad plures lineas potest determinari ſeorſim
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              ; </s>
              <s id="N14EE2">quia ad
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              eas poteſt determinari, ad quas eſt indifferens, vt patet; ſed ad multas
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              eſt indifferens per Theorema 113. igitur ad multas poteſt determi­
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              nari. </s>
            </p>
            <p id="N14EEC" type="main">
              <s id="N14EEE">
                <emph type="center"/>
                <emph type="italics"/>
              Scholium.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p id="N14EFA" type="main">
              <s id="N14EFC">Obſeruabis primò determinationem hanc nihil eſſe aliud, niſi ipſum
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              impetum cum tali linea comparatum, ſeu coniunctum; </s>
              <s id="N14F02">vnam verò li­
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              neam differre ab alia ratione terminorum v. g. illa quæ tendit verſus
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              ortum differt ab ea, quæ tendit verſus auſtrum, vel occaſum, ſcilicet
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              ratione terminorum, ſunt enim duo termini, nempè à quo, & ad quem; </s>
              <s id="N14F10">
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              4. autem modis differunt termini lineæ, vel enim neuter communis eſt
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              vt AB. DC, vel terminus à quo vtrique lineæ communis eſt, vt BA.
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              BE, vel terminus ad quem vt AB, EB; vel denique viciſſim commu­
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              tantur termini, vt BE, EB, & hæc terminorum coniugatio facit oppo­
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              ſitionem maximam, id eſt diametralem. </s>
            </p>
            <p id="N14F1D" type="main">
              <s id="N14F1F">Secundò obſeruabis aliquando videri eſſe vtrumque terminum com­
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              munem licèt differant lineæ; </s>
              <s id="N14F25">ſit linea recta BE, habet communes ter­
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              minos cum curua BFE, licèt omninò differat ab illa; </s>
              <s id="N14F2B">at profectò licèt
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              BE videatur eſſe vnica ſimplex linea duobus terminis clauſa; </s>
              <s id="N14F31">conſtat
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              ramen ex pluribus aliis continuata, rectáque ſerie iunctis; </s>
              <s id="N14F37">vnde, vt
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              linea dicatur eadem eſſe cum alia, debet vna cum aliâ conuenire; ita vt
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              alteri ſuperpoſita nec excedat, nec deficiat. </s>
            </p>
            <p id="N14F3F" type="main">
              <s id="N14F41">Tertiò linea motus non differt ab ipſo motu continuo tractu, ſeu
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              fluxu quaſi labenti: </s>
              <s id="N14F47">Porrò vnus motus differt ab alio, vel ratione velo­
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              citatis, vel ratione terminorum; ſed hæc parum difficultatis habent. </s>
            </p>
            <p id="N14F4D" type="main">
              <s id="N14F4F">
                <emph type="center"/>
                <emph type="italics"/>
              Theorema
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              115.
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              </s>
            </p>
            <p id="N14F5B" type="main">
              <s id="N14F5D">
                <emph type="italics"/>
              Impetus aliquis ad vnam tantùm lineam poteſt eſſe determinatus
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              ; </s>
              <s id="N14F66">v. g.
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                <emph type="italics"/>
              impetus naturalis innatus, de quo in Th.
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              17.
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              nam de acquiſito certum eſt ad
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              </s>
            </p>
          </chap>
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