Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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ſumatur AF æqualis AH, addaturque impetus, qui ſit ad acquiſitum in
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H, vt GF ad FA, vel AH, & habebitur intentum: </
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<
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ſpondens ſcilicet toti motui; </
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<
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">alioqui ſi pars tantùm accipiatur tùm ſpa
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tij, tùm motus, res procul dubio ſecus accidet; ſit enim impetus impreſ
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ſus vt BC ad AB. </
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">Equidem primò tempore, quo in perpendiculari con
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citur AE, conficitur AC æqualis; </
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<
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">at verò ſecundo, quo conficitur EG
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triplum AE in perpendiculari, conficitur CI quadruplum AC, vel
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AE; </
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<
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">igitur non ſunt æqualia ſpatia; ſed hæc ſunt ſatis facilia. </
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Theorema
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50.
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Si planum horizontale ſit perfectè læuigatum in vne tantùm illius puncto ſi
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ſtere poteſt mobile graue
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; </
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">ſit enim globus terræ centro A ſemidiametro
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AE; </
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<
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">ſitque planum horizontale FEGN læuigatiſſimum: dico quòd in
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puncto contactus E quieſcet mobile. </
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">Probatur, quia ex omni alio puncto
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mobile poteſt deſcendere; </
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">ſit enim in G. v.g. haud dubiè GA maior eſt
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AE; </
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">igitur GE planum eſt inclinatum, id eſt, E propiùs accedet ad cen
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trum terræ A; ſed per planum inclinatum mobile deſcendit per hyp. </
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<
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idem dico de omni alio plani puncto, excepto puncto E, ex quo non
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poteſt moueri, niſi aſcendat, id eſt à centro A recedat; igitur in eo
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quieſcet. </
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Theorema
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51.
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Hinc in menſa lauigatiſſima globus vel eburneus, vel cryſtallinus vix vn
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quam ſistit, niſi in eius centro,
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quod multis experimentis comprobatum
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eſt, & ratio luce meridianâ clarior à rudioribus etiam primo ſtatim ob
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tutu cernitur. </
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Theorema
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52.
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Hinc ridiculum ſeu joculare paradoxon, quo ſcilicet dici poteſt duorum alter
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in eodem plano aſcendere, alter deſcendere, licèt in
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cœli plagam con
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uerſi ambulent
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; </
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<
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certè aſcenderet, quia recederet à terræ centro A; </
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<
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">ille verò deſcende
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ret, quia ad centrum accederet; & ſi in partes oppoſitas ambulent, in
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hoc eodem plano vterque ſimul aſcendere, vel ſimul deſcendere poteſt. </
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Theorema
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53.
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Eſt etiam aliud paradoxon, ſcilicet in eodem puncto E duo plana eadem li
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neâ contenta hinc inde aſcendere; </
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<
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linea contineri; </
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<
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connecti
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; hæc porrò ſunt ſatis facilia, & vix ſupra vulgi captum. </
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Adde aliud paradoxon ſcilicet idem mobile per duo plana parallela inæ
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quali motu deſcendere.
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v.g. per plana XFB, VEA, nam VEA eſt per
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pendiculum; at verò XFB eſt horizontale, vt clarum eſt. </
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Poteſt determinari motus proportio cuiuſlibet puncti aſſignati in plano EN
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