Newton, Isaac
,
Philosophia naturalis principia mathematica
,
1713
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non pauciorum quam 12, non plurium quam 13, deſcribentes al
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titudinem digitorum 182. </
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DE MOTU
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CORPORUM</
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<
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>Per Theoriam vero hi globi cadere debuerunt tempore oſcilla
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tionum 11 1/3 quamproxime. </
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Exper.
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10. Globi quatuor pondere granorum 384 in aere &
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119 1/2 in aqua, ſæpe demiſſi, cadebant temporibus oſcillationum
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17 1/4, 18, 18 1/2 & 19, deſcribentes altitudinem digitorum 181 1/2. Et
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ubi ceciderunt tempore oſcillationum 19, nonnunquam audivi im
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pulſum eorum in latera vaſis antequam ad fundum pervenerunt. </
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15 3/9 quamproxime. </
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Exper.
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11. Globi tres æquales, pondere granorum 48 in aere
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& (3 29/32) in aqua, ſæpe demiſſi, ceciderunt temporibus oſcillationum
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43 1/2, 44, 44 1/2, 45 & 46, & maxima ex parte 44 & 45, deſcribentes
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altitudinem digitorum 182 1/2 quamproxime. </
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<
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>Per Theoriam cadere debuerunt tempore oſcillationum 46 5/9
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circiter. </
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Exper.
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12. Globi tres æquales, pondere granorum 141 in aere
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& 4 3/8 in aqua, aliquoties demiſſi, ceciderunt temporibus oſcillatio
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num 61, 62, 63, 64 & 65, deſcribentes altitudinem digitorum 182. </
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<
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>Et per Theoriam cadere debuerunt tempore oſcillationum
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64 1/2 quamproxime. </
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<
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>Per hæc Experimenta manifeſtum eſt quod, ubi globi tarde ceci
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derunt, ut in experimentis ſecundis, quartis, quintis, octavis, un
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decimis ac duodecimis, tempora cadendi recte exhibentur per
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Theoriam: at ubi globi velocius ceciderunt, ut in experimentis
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ſextis, nonis ac decimis, reſiſtentia paulo major extitit quam in
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duplicata ratione velocitatis. </
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<
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>Nam globi inter cadendum oſcillant
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aliquantulum; & hæc oſcillatio in globis levioribus & tardius ca
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dentibus, ob motus languorem cito ceſſat; in gravioribus autem &
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majoribus, ob motus fortitudinem diutius durat, & non niſi poſt
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plures oſcillationes ab aqua ambiente cohiberi poteſt. </
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>Quinetiam
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globi, quo velociores ſunt, eo minus premuntur a fluido ad po
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ſticas ſuas partes; & ſi velocitas perpetuo augeatur, ſpatium va
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cuum tandem a tergo relinquent, niſi compreſſio fluidi ſimul au
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geatur. </
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<
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>Debet autem compreſſio fluidi (per Prop. </
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augeri in duplicata ratione velocitatis, ut reſiſtentia ſit in eadem
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duplicata ratione. </
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<
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minus premuntur a tergo, & defectu preſſionis hujus, reſiſtentia
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eorum fit paulo major quam in duplicata ratione velocitatis. </
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