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. </s>
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              Theorema
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              46.
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            <p id="N1DE1A" type="main">
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              Si proiiciatur in horizontali motus per ſe eſt æqualis in ſpatio modico
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              : </s>
              <s id="N1DE25">Pro­
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              batur, quia in nulla proportione deſtruitur, vt patet; </s>
              <s id="N1DE2B">dixi per ſe, quia re­
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              uera nullum eſt planum perfectè lęuigatum, nec etiam mobile: </s>
              <s id="N1DE31">vnde cum
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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. </s>
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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. </s>
              <s id="N1DE5A">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; </s>
              <s id="N1DE64">haud dubiè primo tempore
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              ratione vtriuſque impetus percurrit AC, ſcilicet, duo ſpatia; </s>
              <s id="N1DE6A">ſecundo
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              CD, id eſt 4. ſpatia; </s>
              <s id="N1DE70">tertio DE, id eſt 6. ſpatia; atque ita deinceps: vn­
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              de vides proportionem arithmeticam, quæ naſcitur ex acceſſione quan­
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              tumuis modica noui impetus. </s>
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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. </s>
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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. </s>
              <s id="N1DEC5">v.g. ſit planum inclinatum AH, perpendiculum verò AE; </s>
              <s id="N1DECB">ducatur
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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; </s>
              <s id="N1DED3">aſſumatur AC æqualis AE; </s>
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              ſi imprimatur impetus, qui ſit ad acquiſitum in ſpatio AB vt BC ad AB: </s>
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              dico quod mobile eodem tempore percurret AE, & AC, vt conſtat; </s>
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              quia impetus in C eſt æqualis impetui in E; </s>
              <s id="N1DEE6">vt verò percurrat in incli­
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              nata AH æquale ſpatium AG, æquali tempore, quo percurrit AG; </s>
              <s id="N1DEEC">aſ-</s>
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