Gravesande, Willem Jacob 's, Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1

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408273MATHEMATICA. LIB. II. CAP. XI.11935.22923.33908.44
Velocitates. # # Reſiſtentiæ # ex # ſecundâ # cauſâ.
# # Cylindri ## Globi # comp. # Exp. # comp. # Exp. 1. # 39. # 39. # 26. # 26. 2. # 158. # 156. # 105. # 104. 3. # 356. # 351. # 237. # 234. 4. # 632. # 624. # 421. # 416. 5. # 988. # 975. # 659. # 650. 6. # 1423. # 1404. # 949. # 936. 7. # 1937. # 1911. # 1291. #
Exiguam dari differentiam inter has reſiſtentias, compu-
55936. tatione detectas, &
illas, quæ experimentis deteguntur, non
mirum;
cum pendeat collatio hæc, 1. à menſura aquæ ef-
fluentis certo tempore, 2.
à menſura ſpatii percurſi certo
tempore a corpore cadente, 3.
à menſura ponderis pedis
cubici aquæ, &
4. tandem à menſura ipſarum reſiſtentiarum.
In ſingulis harum quatuor menſurarum errores exigui vitari
minime poſſunt;
non tamen tales ſunt ut ſcrupulus ullus
circa experimenta ſupereſſe poſſit.
In cap. 22. lib. 1. diximus, nos in hoc capite tradituros de-
66937. monſtrationem ab illa diverſam, quæ in n.
446. datur, de
virium menſura, quas in eodem corpore quadratis veloci-
tatum ſtatuimus proportionales .
Hac ergo caput 77447.terminabo.
A nemine in dubium vocatur fluidi velocitatem, ex preſ-
ſione fluidi ſuperincumbentis oriundam, ſequi rationem ſub-
duplicatam altitudinis fluidi ;
demonſtravimus in hoc 88799. pite , reſiſtentiam ex ſecunda cauſa ſequi hujus 99928. rationem; ideoque rationem duplicatam velocitatis; ſed
etiam vidimus reſiſtentiam eandem ſequi rationem cum vi in-
ſita particulis ſingulis fluidi ;
quare vis hæc etiam eſt 1010899. quadratum velocitatis. Q. D. E.

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