Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              des; </s>
              <s id="N179A9">accipe 9.4. id eſt 16. & per 16. diuide 192. quotíens dabit 12. pro
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              primo ſecundo: accipe 9.2. id eſt, 4. & diuide 192. per 4.quotiens dabit
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              48. pro duobus minutis, atque ita deinceps. </s>
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              Corollarium
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              6.
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              </s>
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              <s id="N179C2">Similiter cognito tempore cognoſci poteſt ſpatium decurſum; </s>
              <s id="N179C6">quia
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              ſpatia ſunt vt quadrata temporum; </s>
              <s id="N179CC">vel cognito ſpatio cognoſci poteſt
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              tempus; quia tempora ſunt, vt radices ſpatiorum, hæc elementa ſaltem
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              Arithmetices deſiderant. </s>
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            <p id="N179D4" type="main">
              <s id="N179D6">Sed iam reſtat, vt ſoluamus objectiones aliquas, quæ contra motus ac­
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              celerationem pugnare videntur. </s>
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              <s id="N179DD">Prima objectio eſt; </s>
              <s id="N179E0">ſi motus acceleratio fieret in inſtantibus, ſecundo
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              inſtanti idem corpus eſſet in duobus locis adæquatis quod ſic oſtendo: </s>
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              ſit ſpatium AB quod percurrit corpus graue primo inſtanti; </s>
              <s id="N179EB">haud du­
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              biè AB, eſt eius locus adæquatus; </s>
              <s id="N179F1">ſecundo inſtanti percurrit BC duplum
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              AB; </s>
              <s id="N179F7">igitur eodem inſtanti reſpondet loco BD, & DC, quorum vterque
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              eſt æqualis AB; igitur ſecundo inſtanti eſt in duobus locis, ſcilicet BD
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              & DC, quod dici non poteſt. </s>
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              <s id="N17A01">Hæc objectio impugnat omnem velocitatem; </s>
              <s id="N17A05">hoc eſt, non modò eam,
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              quæ motui naturaliter accelerato competit; </s>
              <s id="N17A0B">verùm etiam illam, quæ
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              ineſt motui violento; igitur vt reſpondeam faciliùs; </s>
              <s id="N17A11">ſuppono punctum
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              phyſicum, mobile ſcilicet A; </s>
              <s id="N17A17">aut ſi mauis Angelum coëxtenſum quadra­
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              to A; </s>
              <s id="N17A1D">qui ſcilicet moueatur motu accelerato, & primo inſtanti acquirat
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              locum immediatum æqualem priori, ſcilicet AB; </s>
              <s id="N17A23">licèt enim poſſet ac­
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              quirere vibrationem participantem de priori; </s>
              <s id="N17A29">quia tamen acquireret
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              tandem non participantem, id eſt, quæ tota ſit extra illam, cui eſt imme­
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              diata, qualis eſt AB. ſuppono hîc acquiri vibrationem non participan­
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              tem de priori, id eſt ſpatium AB, æquale priori, in quo erat A, & pror­
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              ſus extra illud poſitum licèt immediatum; </s>
              <s id="N17A35">hoc poſito, primo inſtanti pun­
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              ctum A acquirit AB tanquam locum adæquatum, vt certum eſt: </s>
              <s id="N17A3B">certum
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              eſt etiam loca BC, CD, eſſe adæquata: </s>
              <s id="N17A41">igitur ſimul, id eſt eodem in­
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              ſtanti in vtroque eſſe non poteſt; </s>
              <s id="N17A47">nam inſtans ſimul totum eſt; </s>
              <s id="N17A4B">igitur
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              ſecundo inſtanti non percurrit BC, ſed ſecundo tempore æquali primo; </s>
              <s id="N17A51">
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              hoc enim ſecundum tempus conſtat duobus inſtantibus, quod ſimul
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              vtrumque reſpondet primo: </s>
              <s id="N17A58">quippe dari poſſunt inſtantia phyſica; </s>
              <s id="N17A5C">igitur
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              primum inſtans quo percurritur AB eſt æquale duobus aliis, quibus
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              percurruntur BD, & CD; vnde quando dixi primo inſtanti acquiri ſpa­
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              tium duplum primi, idem eſt, ac ſi dixiſſem ſecundo tempore æquali pri­
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              mo, quod reuerà tempus conſtat 2. inſtantibus, quorum alterum reſpon­
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              det ſpatio BC, & alterum ſpatio DC. </s>
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              <s id="N17A6D">Secunda objectio; </s>
              <s id="N17A70">Sed inquiet aliquis, igitur non eſt continua acce­
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              leratio motus; nam inſtans quo percurritur ſecundum ſpatium BD, cùm
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              ſit æquale inſtanti quo percurritur tertium ſpatium DC, in vtroque ſpa­
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              tio eſt æquabilis motus. </s>
              <s id="N17A7A">Reſpondeo inſtans quo percurritur ſecundum
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              ſpatium BD, eſſe maius inſtanti, quo percurritur tertium ſpatium DC; </s>
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              tà tamen lege, vt vtrumque ſimul ſumptum ſit omninò equale inſtanti, </s>
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