Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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frigus reducitur. </
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>Antequam caderent, immergebantur penitus in
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aquam; ne pondere partis alicujus ex aqua extantis deſcenſus eo
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rum ſub initio acceleraretur. </
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>Et ubi penitus immerſi quieſcebant,
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demittebantur quam cautiſſime, ne impulſum aliquem a manu de
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mittente acciperent. </
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<
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>Ceciderunt autem ſucceſſive temporibus
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oſcillationum 47 1/2, 48 1/2, 50 & 51, deſcribentes altitudinem pedum
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quindecim & digitorum duorum. </
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>Sed tempeſtas jam paulo frigi
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dior erat quam cum globi ponderabantur, ideoQ.E.I.eravi experi
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mentum alio die, & globi ceciderunt temporibus oſcillationum
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49, 49 1/2, 50 & 53, ac tertio temporibus oſcillationum 49 1/2, 50, 51
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& 53. Et experimento ſæpius capto, Globi ceciderunt maxima
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ex parte temporibus oſcillationum 49 1/2 & 50. Ubi tardius ce
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cidere, ſuſpicor eoſdem retardatos fuiſſe impingendo in latera
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vaſis. </
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DE MOTU
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CORPORUM.</
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>Jam computum per Theoriam ineundo, prodeunt pondus globi
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in vacuo 139 2/5 granorum. </
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>Exceſſus hujus ponderis ſupra pondus
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globi in aqua (132 11/40)
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gran.
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Diameter globi 0,99868
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dig.
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Octo ter
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tiæ partes diametri 2,66315
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dig.
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Spatium 2 F 2,8066
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dig.
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Spatium
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quod globus pondere 7 1/8 granorum, tempore minuti unius ſe
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cundi abſque reſiſtentia cadendo deſcribit 9,88164
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dig.
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Et tempus
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G 0″,376843. Globus igitur, velocitate maxima quacum poteſt in
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aqua vi ponderis 7 1/8 granorum deſcendere, tempore 0″,376843 de
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ſcribit ſpatium 2,8066 digitorum, & tempore 1″ ſpatium 7,44766 di
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gitorum, & tempore 25″ ſeu oſcillationum 50 ſpatium 186,1915
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dig.
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Subducatur ſpatium 1,386294 F, ſeu 1,9454
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dig.
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& manebit ſpa
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tium 184,2461
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dig.
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quod globus eodem tempore in vaſe latiſſimo
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deſcribet. </
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>Ob anguſtiam vaſis noſtri, minuatur hoc ſpatium in ra
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tione quæ componitur ex ſubduplicata ratione orificii vaſis ad
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exceſſum hujus orificii ſupra ſemicirculum maximum globi, & ſim
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plici ratione ejuſdem orificii ad exceſſum ejus ſupra circulum ma
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ximum globi; & habebitur ſpatium 181,86 digitorum, quod glo
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bus in hoc vaſe tempore oſcillationum 50 deſcribere debuit per
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Theoriam quamproxime. </
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<
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>Deſcripſit vero ſpatium 182 digitorum
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tempore oſcillationum 49 1/2 vel 50 per Experimentum. </
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Exper.
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5. Globi quatuor pondere 154 1/8
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gran.
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in aere & 21 1/2
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gran.
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in aqua, ſæpe demiſſi, cadebant tempore oſcillationum 28 1/2, 29,
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29
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& 30, & nonnunquam 31, 32 & 33, deſcribentes altitudinem
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pedum quindecim & digitorum duorum. </
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<
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quamproxime. </
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