Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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des; </
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<
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">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. </
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Corollarium
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6.
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">Similiter cognito tempore cognoſci poteſt ſpatium decurſum; </
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ſpatia ſunt vt quadrata temporum; </
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<
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">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. </
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">Sed iam reſtat, vt ſoluamus objectiones aliquas, quæ contra motus ac
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celerationem pugnare videntur. </
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<
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">Prima objectio eſt; </
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">ſi motus acceleratio fieret in inſtantibus, ſecundo
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inſtanti idem corpus eſſet in duobus locis adæquatis quod ſic oſtendo: </
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ſit ſpatium AB quod percurrit corpus graue primo inſtanti; </
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<
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biè AB, eſt eius locus adæquatus; </
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">ſecundo inſtanti percurrit BC duplum
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AB; </
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">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. </
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<
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">Hæc objectio impugnat omnem velocitatem; </
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">hoc eſt, non modò eam,
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quæ motui naturaliter accelerato competit; </
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ineſt motui violento; igitur vt reſpondeam faciliùs; </
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phyſicum, mobile ſcilicet A; </
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">aut ſi mauis Angelum coëxtenſum quadra
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to A; </
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">qui ſcilicet moueatur motu accelerato, & primo inſtanti acquirat
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locum immediatum æqualem priori, ſcilicet AB; </
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<
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quirere vibrationem participantem de priori; </
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">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; </
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">hoc poſito, primo inſtanti pun
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ctum A acquirit AB tanquam locum adæquatum, vt certum eſt: </
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eſt etiam loca BC, CD, eſſe adæquata: </
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">igitur ſimul, id eſt eodem in
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ſtanti in vtroque eſſe non poteſt; </
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<
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">nam inſtans ſimul totum eſt; </
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<
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">igitur
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ſecundo inſtanti non percurrit BC, ſed ſecundo tempore æquali primo; </
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hoc enim ſecundum tempus conſtat duobus inſtantibus, quod ſimul
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vtrumque reſpondet primo: </
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<
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">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. </
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">Secunda objectio; </
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">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. </
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<
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ſpatium BD, eſſe maius inſtanti, quo percurritur tertium ſpatium DC; </
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tà tamen lege, vt vtrumque ſimul ſumptum ſit omninò equale inſtanti, </
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