Fabri, Honoré, Tractatus physicus de motu locali, 1646

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            <p id="N1717C" type="main">
              <s id="N17186">
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              corpus graue ſuo motu percurrit; </s>
              <s id="N17193">& ſecundo tempore æquali BC, quæ
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              tripla eſt AB, tertio CD quintupla quarto DE ſeptupla, quinto EF
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              nonecupla; vides primò ſeriem numerorum imparium 1. 3. 5. 7. 9.atque
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              ita deinceps. </s>
              <s id="N1719D">Secundò vides ſpatia eſſe in ratione duplicata temporum,
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              hoc eſt vt temporum quadrata. </s>
              <s id="N171A2">v.g. ſi accipiatur ſpatium AB primo tem­
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              pore peractum, & ſpatium AC duobus temporibus confectum: ratio hu­
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              ius ad illud eſt vt 4.ad 1.id eſt vt quadratum 2.ad quadratum 1. ſimiliter,
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              ſi accipiatur ſpatium AD confectum tribus temporibus, erit 9.id eſt qua­
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              dratum 3, ſpatium AE confectum 4.temporibus erit 16.id eſt quadratum
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              4. & AF 25. quadratum 5. </s>
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            <p id="N171B3" type="main">
              <s id="N171B5">Hæc ſententia ingeniosè à Galileo excogitata ex duplici capite à ſuis
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              auctoribus confirmatur; primò experientiâ, ſecundò ratione. </s>
              <s id="N171BB">Experien­
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              tia tribus potiſſimum experimentis fulcitur; primum eſt in motu deor­
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              ſum per lineam perpendicularem. </s>
              <s id="N171C3">v. g. in linea AF; </s>
              <s id="N171CB">nam reuerà multi
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              ſunt, iique grauiſſimi auctores in rebus tùm philoſophicis, tùm mathe­
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              maticis verſatiſſimi, qui ſæpiùs ſenſu ipſo probarunt, repetitis vſque ad
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              nauſeam experimentis, tempore vnius ſecundi minuti corpus graue in
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              libero aëre 12. pedes ſpatij motu naturali deorſum percurrere; in 2.ve­
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              rò ſecundis 48. in 3.ſecundis 108.ſed ſpatia iſta ſunt vt temporum qua­
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              drata, vt conſtat. </s>
            </p>
            <p id="N171DB" type="main">
              <s id="N171DD">Secundum experimentum eſt in plano inclinato, in quo corpus graue
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              deſcendit iuxta prædictam progreſſionem, quod expreſſis verbis teſtatur
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              Galileus à ſe fuiſſe probatum ſæpiùs, nec vnquam à vero ne tantillùm
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              quidem aberraſſe. </s>
              <s id="N171E6">ſed in perpendiculari deorſum eadem proportione
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              creſcit motus, quâ in plano inclinato; licèt in plano inclinato tardior ſit
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              motus, vt demonſtrabimus aliàs. </s>
            </p>
            <p id="N171EE" type="main">
              <s id="N171F0">Tertium experimentum petitur ex funependulis; </s>
              <s id="N171F4">in quibus ſæpiùs
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              obſeruatum eſt longitudinem funis, & conſequenter arcum quadrantis
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              longioris funependuli eſſe ad longitudinem, ſeu quadrantem alterius
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              breuioris, vt quadratum temporis, quo perficitur vibratio maioris ad
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              quadratum temporis, quo perficitur vibratio minoris.v.g.ſit longitudo
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              funependuli maioris, CG minoris verò ſubquadrupla CF; </s>
              <s id="N17202">eleuetur vter­
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              que funis, cui pondus æquale ſit appenſum vſque ad horizontalem
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              CDE & alterum ex D; </s>
              <s id="N1720A">alterum verò ex E demiſſum cadat deorſum; haud
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              dubiè funependulum CE duplum temporis collocabit in decurrendo
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              quadrante EG, & funependulum ED ſubduplum. </s>
              <s id="N17212">v. g. ſi CD conficit
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              ſuam vibrationem DF vno ſecundo, EG conficiet ſuam EG duobus, vt
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              centies obſeruatum eſt; </s>
              <s id="N1721E">ſed EG eſt quadruplus DF, vt patet; igitur EG
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              & DF ſunt vt quadrata temporum, quibus percurritur EG & DF ſed vt
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              deſcendit graue per DF & EG, ita deſcendit per CF & CG, quippe
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              DF & EG habent rationem plani inclinati deorſum. </s>
            </p>
            <p id="N17228" type="main">
              <s id="N1722A">Adde quod, vt ſe habet tempus, quo deſcendit per totum quadrantem
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              DF, ad tempus, quo deſcendit per totum quadrantem EG. ſic ſe habet
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              tempus, quo deſcendit per arcum DL ſubduplum DF ad tempus, quo
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              deſcendit per arcum EI ſubduplum EG; </s>
              <s id="N17234">item tempus, quo deſcendit </s>
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