Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              radio AB; </s>
              <s id="N252DB">ſitque v.g. AB ſubdupla AC; </s>
              <s id="N252E1">ſit planum CE æquale arcui C
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              H; </s>
              <s id="N252E7">ita vt in decurſu ſingula puncta CH reſpondeant ſingulis CE; </s>
              <s id="N252EB">cùm
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              autem rapiatur rota ABD à maiore; </s>
              <s id="N252F1">haud dubiè punctum D peruenit
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              in F, cum punctum A peruenit in G; id eſt radius AD conuenit
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              cum GF. </s>
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              <s id="N252FB">3. Porrò caput difficultatis potiſſimum in eo poſitum eſt, quod BF ſit
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              dupla arcus BD; </s>
              <s id="N25301">igitur vel ſingula puncta arcus BD reſpondent in de­
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              curſu ſingulis BF, vel ſingula BD reſpondent duobus BF, vel alterna
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              puncta BF ſaltuatim remanent penitus intacta; </s>
              <s id="N25309">ſed nihil horum dici
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              poſſe videtur: </s>
              <s id="N2530F">non primum.quia alioquin tot eſſent puncta in arcu DB,
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              quot in plano BF æquali arcui CH, igitur ſubduplus arcus eſſet æqualis
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              duplo, quòd dici non poteſt; </s>
              <s id="N25317">licèt aliqui vltrò concedant, quod ego mi­
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              nimè concedere, nedum concipere poſſum; </s>
              <s id="N2531D">non poteſt etiam dici quod
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              ſingula puncta arcus DB reſpondeant duobus punctis plani BF; </s>
              <s id="N25323">cùm
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              enim puncta D, & C ſint in eodem radio AC; </s>
              <s id="N25329">certè ſi punctum tangit in
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              motu punctum plani proximè ſequens dextrorſum; </s>
              <s id="N2532F">igitur AB cadit per­
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              pendiculariter in BF; </s>
              <s id="N25335">igitur & AC in CE; </s>
              <s id="N25339">igitur punctum C tangit
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              etiam in motu punctum proximè ſequens plani CE; </s>
              <s id="N2533F">igitur planum CE
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              eſſet duplum arcus CH, ſed eſt æquale per conſtructionem; </s>
              <s id="N25345">nec eſt quod
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              aliqui prouocent ad experimentum, quod nullum eſt; quippe quod certæ
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              & geometricæ demonſtrationi repugnaret. </s>
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              <s id="N2534F">4. Non poteſt etiam dici, quòd alterna puncta plani BF quaſi ſaltua­
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              tim remaneant intacta; </s>
              <s id="N25355">nam eo tempore, quo aliquod punctum plani C
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              E reſpondens puncto intacto plani BF tangitur; </s>
              <s id="N2535B">haud dubiè aliquod pun­
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              ctum arcus BD tangit planum BF; </s>
              <s id="N25361">alioquin centrum A deſcenderet ſu­
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              pra lineam AG; </s>
              <s id="N25367">igitur maior rota non incubaret plano CE contra hy­
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              potheſim; </s>
              <s id="N2536D">igitur quolibet inſtanti aliquod punctum arcus BD tangit
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              planum BF; </s>
              <s id="N25373">igitur nullum punctum plani BF intactum eſt; </s>
              <s id="N25377">quippe om­
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              ne punctum contactus plani CE, & maioris circuli reſpondet puncto
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              contactus oppoſito plani BF, & minoris circuli; igitur non remanent al­
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              terna puncta plani BF quaſi ſaltuatim intacta. </s>
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              <s id="N25383">5. Hinc reiicies infinita illa vacuola Galilei; </s>
              <s id="N25387">ſi enim in linea BM re­
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              manent infinita puncta intacta, non verò in CN; </s>
              <s id="N2538D">certè vbi punctum,
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              quod immediatè ſequitur C tangitur, & fit punctum contactus, vel nul­
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              lum punctum in BF tangitur vel aliquod; ſi
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              ; </s>
              <s id="N25399">igitur radius minoris
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              rotæ imminuitur, quod eſt abſurdum: ſi ſecundum; </s>
              <s id="N2539F">igitur nullum vacuo­
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              lum intercipitur, quod eſt contra Galileum; </s>
              <s id="N253A5">quod verò ſpectat ad poli­
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              gona concentrica determinabimus paulò pòſt; </s>
              <s id="N253AB">ſint enim duo poligona
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              concentrica centro D, quorum maius ita voluatur, vt AI reſpondeat AF,
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              id eſt circa centrum A; </s>
              <s id="N253B3">certè M mouebitur per arcum MI, D per arcum
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              DE, B per arcum BM; </s>
              <s id="N253B9">igitur ſingula puncta mouebuntur motu ſimplicis
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              circulari
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              velociùs, quò recedent longiùs ab A: hinc punctum B
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              mouebitur omnium velociſſimè, quia longiſſimè diſtat à puncto A. </s>
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              <s id="N253C8">6. Si verò minus poligonum dirigat motum, qui primò fiat ciat cen­
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              trum D; </s>
              <s id="N253CE">haud dubiè punctum A mouebitur per arcum AV, per
                <expan abbr="quẽ">quem</expan>
              retro-</s>
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