Fabri, Honoré, Tractatus physicus de motu locali, 1646

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              tum, vt linea inclinationis ſit centupla horizontalis oppoſitæ; certè qui
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              ſuſtinet in altera extremitate eleuata (1/100) tantùm ſuſtinet ponderis par­
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              tem per Th. 18. alius verò ſuſtinet in altera extremitate, quæ deorſum
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              eſt (93/100). </s>
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              Theorema
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              33.
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              </s>
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              Qui poteſt tantùm datum pondus ſurſum attollere per lineam verticalem,
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              centuplum per inclinatum planum ad
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              altitudinem attollet
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              ; </s>
              <s id="N1DB02">ſi enim ſit
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              inclinata ad perpendiculum in ratione centupla; haud dubiè qui attollit
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              datum pondus per ipſum perpendiculum ſine viribus auctis per inclina­
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              tum planum, pondus centuplò maius attollet, quia potentia per inclina­
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              tam eſt ad potentiam per ipſum perpendiculum vel altitudo ad inclina­
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              tam per Theor. 6. igitur ſi æqualis vtrobique applicetur potentia, pon­
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              dus centuplò maius attollet per inclinatam, ſeu pellendo, ſeu tra­
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              hendo. </s>
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              Theorema
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              34.
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              </s>
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              Hinc ratio plani inclinati demonſtrat
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              cochleæ vires.
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              v.g. pellitur ſurſum
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              per DE inclinatam faciliùs quàm verticalem DH in ratione DE ad
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              DH, quæ ſi eſt tripla, eadem potentia quæ datum pondus attollit per
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              DH, triplò maius attollet per DE, vel ſi attollat per DA verticalem,
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              triplò maius attollet per ſpiras vel Helices DE EC, CF, &c. </s>
              <s id="N1DB3E">vſque ad
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              A; hinc quò Helix erit inclinatior, potentia maius pondus illius operâ
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              attollet. </s>
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              Theorema
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              35.
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              </s>
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              Hinc clarè vides compenſari longitudinem motus, ſpatij vel temporis, pon­
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              deris acceſſione,
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              v.g. triplò maius pondus attollitur per DE quàm per
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              DH; </s>
              <s id="N1DB64">quia ſpatium DE eſt triplum DH; igitur motus triplus, ſcilicet in
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              duratione, (loquor enim de motu æquabili quo ſurſum corpus, vel tra­
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              hitur, vel continuò pellitur.) </s>
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              Theorema
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              36.
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              </s>
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              Hinc nullus mons eſſe poteſt quantumuis arduus, ad cuius apicem via faci­
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              li in modum cochleæ ſtrata pertingi non poſſit
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              ; & quò plures erunt ſpiræ, eo
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              facilior erit & minùs decliuis via. </s>
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              Theorema
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              37.
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              </s>
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              Quando deſcendit mobile per multas ſpiras, ſeu volutas, poteſt determinari
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              altitudo perpendicularis, ex qua eodem tempore deſcenderet
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              ; </s>
              <s id="N1DBA4">ſit enim ſpira
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              ſeu cochlea AFCHD, & perpendiculum AD; </s>
              <s id="N1DBAA">certè eodem tempore
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              deſcendit per AFC, quo deſcenderet per AG duplam AF; </s>
              <s id="N1DBB0">ſed eo tem­
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              pore, quo deſcendit per AF inclinatam, conficit AD per Th.27. quæ eſt
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              ad AF vt AF ad BA; </s>
              <s id="N1DBB8">ſit autem dupla: </s>
              <s id="N1DBBC">ſimiliter eodem tempore conficit
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              AFG vel AFG, quo conficit AE duplam AG; denique eo tempore,
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              quo conficit AF CHD, vel AGD, conficit duplam AE. </s>
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