Fabri, Honoré
,
Tractatus physicus de motu locali
,
1646
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qui motu naturaliter accelerato ſi primo tempore conficit KC, ſecun
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do conficit KL triplum CK; igitur ſi motu retardato primo tempore
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conficit LK, ſecundo conficit KC ſubtriplum LK. </
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Theorema
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46.
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Si proiiciatur in horizontali motus per ſe eſt æqualis in ſpatio modico
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: </
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batur, quia in nulla proportione deſtruitur, vt patet; </
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uera nullum eſt planum perfectè lęuigatum, nec etiam mobile: </
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aſperitas plani reſiſtat, inde maximè motus retardatur; dixi in ſpatio
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modico, nam planum horizontale rectilineum longius, eſt planum incli
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natum, de quo infrà, vnde vt motus ſit æqualis, debet proiici in ſuperfi
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cie curua æqualiter diſtante à centro mundi. </
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Theorema
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47.
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Si proiiciatur mobile deorſum per inclinatum planum, mouetur velociùs
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B;
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certum eſt, & acquirit maius ſpatium ſingulis temporibus iuxta ratio
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nem impetus accepti. </
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<
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">v.g. ſit planum ABE, in quo primo dato tem
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pore mobile acquirat AB, ſitque impetus impreſſus æqualis împetui,
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quem acquirit dum percurrit ſpatium AB; </
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ratione vtriuſque impetus percurrit AC, ſcilicet, duo ſpatia; </
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CD, id eſt 4. ſpatia; </
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de vides proportionem arithmeticam, quæ naſcitur ex acceſſione quan
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tumuis modica noui impetus. </
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Theorema
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48.
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In plano inclinato non deſtruitur impetus impreſſus, quia non eſt frustrà
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;
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igitur non deſtruitur per Sch. Th.152.lib.1. ſic diximus in Theoremate
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68. l.4. in proiecto deorſum per lineam perpendicularem deorſum non
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deſtrui quidquam impetus impreſſi, licèt deſtruatur in proiecto per in
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clinatam deorſum in libero medio, vt diximus in Th.67. lib.4. vide Th.
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68.lib.4. </
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Theorema
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49.
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Poteſt determinari quantus impetus imprimi debeat mobili per planum in
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clinatum, vt æquali velocitate moueatur quo mouetur in perpendiculari ſuæ
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ſponte,
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hoc eſt vt æquali tempore æquale ſpatium vtrimque acquiratur,
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aſſumpto ſcilicet ſpatio totali, quod toti motui competit, non verò eius
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tantùm parte; debet enim aſſumi impetus iuxta proportionem differen
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tiæ ſpatij, quod acquiritur in perpendiculari, & alterius ſpatij, quod ac
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quiritur in perpendiculari, & alterius ſpatij, quod acquiritur in inclina
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ta. </
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<
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">v.g. ſit planum inclinatum AH, perpendiculum verò AE; </
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EB perpendicularis in AH, mobile percurrit AB in inclinata eo tem
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pore, quo percurrit AE in perpendiculo; </
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ſi imprimatur impetus, qui ſit ad acquiſitum in ſpatio AB vt BC ad AB: </
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dico quod mobile eodem tempore percurret AE, & AC, vt conſtat; </
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quia impetus in C eſt æqualis impetui in E; </
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nata AH æquale ſpatium AG, æquali tempore, quo percurrit AG; </
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