Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              ſi enim toto eo tempore, quo corpus graue cadit, numerentur 6. vibratio­
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              nes tripedalis funependuli; </s>
              <s id="N23D0F">haud dubiè motus ille durauit ſex minutis
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              ſecundis; igitur ſi præcognoſcatur quantum ſpatij percurratur deorſum,
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              dum fluit vnum ſecundum minutum, quod ſit.v.g. </s>
              <s id="N23D17">ſpatium pedum 18 6/7
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              hoc poſito, quadrentur tempora ſcilicet, & 6. habeo 1. & 36. iam facio
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              regulam trium, ſi 1.dat. </s>
              <s id="N23D1E">18 6/7 quid dabunt 36. & habeo 619. pedes mi­
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              nus 1/2. </s>
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              <s id="N23D27">Obſeruabis autem dictum fuiſſe à me ſuprà funependulum tripedale
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              peragere ſuam integram vibrationem tempore vnius ſecundi minuti; </s>
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              quod certè, vt ait eruditus Merſennus, ſæpiùs obſeruatum eſt; </s>
              <s id="N23D32">hæc autem
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              eſt obſeruatio Merſenni, quam habet in Baliſt. prop.15.eamque ſæpiùs,
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              vt ipſe ait, iteratam: </s>
              <s id="N23D3C">Itaque dicit tripedalis ſili ſpatio quadrantis horæ,
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              nongentas vibrationes fuiſſe numeratas, ſed in quadrante horæ ſunt 15.
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              minuta prima; </s>
              <s id="N23D44">igitur nongenta ſecunda; igitur cum ſingulæ vibrationes
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              æquali tempore peragantur ſingulis ſecundis minutis reſpondent. </s>
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              <s id="N23D4C">Inde inſignem difficultatem educit idem auctor; </s>
              <s id="N23D50">cum enim in per­
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              pendiculari deorſum percurrantur 12. pedes tempore vnius ſecundi mi­
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              nuti, & 48. tempore duorum ſecundorum, quod multis obſeruationibus
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              comprobatum eſt; </s>
              <s id="N23D5A">certè tempore ſemiſecundi minuti 3. tantùm pedes
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              confici neceſſe eſt; </s>
              <s id="N23D60">igitur eo tempore, quo radius tripedalis percurritur,
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              totus etiam percurritur quadrantis arcus, qui eſt 4 3/7; </s>
              <s id="N23D66">igitur maior eſt
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              motus in arcu, quàm in perpendiculari, quod dici non poteſt; cùm ne
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              æqualis quidem ſit. </s>
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              <s id="N23D70">Ad ſoluendum hunc nodum ſupponendum eſt vibrationes minores
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              citiùs peragi, quàm maiores; </s>
              <s id="N23D76">quod etiam ibidem obſeruat idem auctor; </s>
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              igitur non eſt dubium, quin longè plures vibrationes fiant, quàm fierent
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              ſi omnes eſſent æquales arcui quadrantis; </s>
              <s id="N23D81">ſi enim numeres minores dum
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              alius numerat maiores; </s>
              <s id="N23D87">cum numerabis 10. ille vix 9. habebit, & ſi
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              omnes maiores eſſent æquales primæ integræ, dum habes 9. vix haberet
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              8. itaque non reſpondent ſingulæ vibrationes æquales primæ integræ
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              ſingulis ſecundis minutis; ſed ferè ſingulis plùs 16. vel 17. minutis
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              tertiis. </s>
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              <s id="N23D95">Quare eo tempore, quo percurritur arcus quadrantis funependuli tri­
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              pedalis non percurruntur in perpendiculo 6. pedes; </s>
              <s id="N23D9B">quia in perpendi­
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              culo percurruntur 6. pedes eo tempore, quo diagonalis quadrati, ſeu latus
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              quadrati inſcripti percurritur; </s>
              <s id="N23DA3">v.g. in figura Lem.3.percurruntur DT
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              dupla radij ID, eo tempore, quo percurritur DP; </s>
              <s id="N23DAB">ſed DP percurritur
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              tardiùs, quàm arcus DKP; </s>
              <s id="N23DB1">igitur DKP citiùs quàm DT; </s>
              <s id="N23DB5">igitur non
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              percurritur ſpatium 6. pedum in perpendiculo eo tempore, quo percur­
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              ritur arcus quadrantis DKP, cuius radius ID ſit tripedalis; </s>
              <s id="N23DBD">præterea
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              non percurruntur tantùm in perpendiculo eodem tempore pedes ſpatij
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              4 5/7, vel vndecim, ſi radius conſtat 7. pedibus, vt voluit idem auctor l. 2.
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              de cauſis ſonorum Prop. 27. Cor. 3. quia ſi radius habet 3. arcus
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              quadrantis habet 4 5/7. ſi radius habet 7. arcus quadrantis habet 11.
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              ſed eodem tempore conficitur maius ſpatium in perpendiculo, quàm in </s>
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