Fabri, Honoré, Tractatus physicus de motu locali, 1646
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              versùs circumferentiam, non perfectior, patet per Th. 8. </s>
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              Theorema
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              98.
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              Intenſio impetus propagati iuxta hunc modum ſe habet, vt distantia à cen­
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              tro motus
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              ; </s>
              <s id="N147F9">ſint enim punctum B, & punctum A: </s>
              <s id="N147FD">ita ſe habet intenſio
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              impetus puncti A ad intenſionem impetus puncti B, vt diſtantia AC
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              ad BC. Probatur, quia cum impetus ſint vt motus, motus vt ſpatia, ſpatia
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              verò ſint arcus AE. BD; </s>
              <s id="N14807">arcus ſunt, vt ſemidiametri AC, BC; igitur vt
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              diſtantiæ quòd erat demonſtrandum. </s>
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              Corollarium
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              1.
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              </s>
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            <p id="N1481C" type="main">
              <s id="N1481E">Hinc ſi diſtantia CA eſt dupla diſtantiæ CB, impetus in A eſt du­
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              plus impetus in B: at verò impetus ſegmenti eſt ad impetum alterius,
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              vt diximus in Th. 73. </s>
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              Corollarium
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              2.
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              </s>
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            <p id="N14835" type="main">
              <s id="N14837">Hinc hæc propagatio fit iuxta progreſſionem arithmeticam id eſt, ſi
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              in primâ parte verſus centrum producitur impetus vt 1. in ſecunda pro­
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              ducitur vt duo, in tertiâ vt tria, atque ita deinceps; quia proportio
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              arithmetica eſt laterum, ſeu linearum. </s>
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              Corollarium
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              3.
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              </s>
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              <s id="N14852">Hinc hæc propagatio eſt omninò inuerſa illius, quæ aliis qualitatibus
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              competit, vt patet. </s>
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              Corollarium
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              4.
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              </s>
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              <s id="N14868">Hinc etiam manifeſta ratio ſequitur illius experimenti, quod propo­
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              ſuimus corol. </s>
              <s id="N1486D">2. Th. 80. </s>
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              Corollarium
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              5.
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              <s id="N14881">Hinc ſi tantùm habeatur ratio impetus, facilè poteſt determinari in
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              qua proportione cylindrus faciliùs moueatur motu recto, quàm motu
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              circulari; </s>
              <s id="N14889">poſito ſcilicet centro motus in altera extremitate, cui applica­
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              tur potentia; </s>
              <s id="N1488F">quippe impetus propagatus in motu circulari eſt ſumma
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              terminorum; </s>
              <s id="N14895">propagatus verò in motu recto eſt vltimus terminorum,
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              v.g. ſint ſex puncta ſubiecti; </s>
              <s id="N1489D">in quolibet producatur impetus vt vnum; </s>
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              haud dubiè erit motus rectus; </s>
              <s id="N148A6">vt verò ſit motus circularis in primo
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              puncto; </s>
              <s id="N148AC">producatur vt 1. in ſecundo vt 2. in tertio, vt 3. atque ita dein­
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              ceps; ſumma erit 21. cum tamen in motu recto eſſent tantùm 6. igitur
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              vt ſe habent 21. ad 6. ita ſe habet facilitas motus recti ad facilitatem
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              motus circularis. </s>
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              <s id="N148B8">Dixi, ſi tantùm habeatur ratio impetus; </s>
              <s id="N148BC">quia ſi addatur ratio graui­
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              tationis, ſeu momenti; haud dubiè maior erit adhuc difficultas, de
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              quo infrà in Schol.
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              Corollarium
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              6.
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              <s id="N148D2">Hinc quò longior eſt cylindrus, v. g. creſcit proportio maioris illius
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              facilitatis, vt patet inductione; </s>
              <s id="N148DC">nam ſi ſint tantùm 2. puncta, proportio
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              erit 3. ad 2.; </s>
              <s id="N148E2">ſit tria 6. ad 3.; </s>
              <s id="N148E6">ſi 4. 10. ad 4. ſi 5. 15. ad 5.; </s>
              <s id="N148EA">ſi 6. 21. ad 6. </s>
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