Musschenbroek, Petrus van
,
Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae
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CORPORUM FIRMORUM.
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<
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xml:space
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">Angulo c b d increſcente, decreſcit angulus r s q, & </
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<
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creſcit longirudo lineæ r q, quæ exprimit rationem ponderis P: </
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<
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angulo c b d increſcente, repræſentatur funis validius intortus; </
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<
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cunque enim duo fila ſecum invicem torquebit, manifeſto obſer-
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vabit, in initio angulum c b d eſſe parvum, eumque ſemper augeri,
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quo fila vehementius intorquentur.</
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<
s
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">Ex hac demonſtratione manifeſto patet, quare funis contorſione
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fibrarum factus, minus virium ad gerendum pondus habeat, quam
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fibræ eum componentes, ſeorſim ſumtæ, habent: </
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<
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">tum 2°. </
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<
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xml:space
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">quare ro-
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bur funis eo plus decreſcat, quo fibris vehementius intortis con-
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ſtat: </
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<
s
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xml:space
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">Hæc omnia nunc nonnullis Experimentis confirmabo.</
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">EXPERIMENTUM LXXXIII.</
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">Sumſi funiculum tenuem, diametri 0, 03 pollicis Rhenolandici,
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cui tres quatuorve ulnas longo appendere potui libras 12 {1/2}, ſed a li-
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bris 13 rumpebatur: </
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<
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xml:space
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">ambo igitur fragmenta ſuſtinere potuerunt li-
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bras 12 {1/2}. </
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<
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xml:space
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">Hæc conjuncta parum intorſi, ut funiculum acceperim
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ex ambobus compoſitum, cujus extremitati appendi modo potue-
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runt libræ 24. </
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<
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xml:space
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">Conatus fui menſurare angulum c b e in fig. </
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<
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<
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">quem
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filum cum alio contorto conſtituebat, eum deprehendi angulum
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16 {1/2} graduum, quare angulus c b d. </
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<
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">erat 33 graduum, tum vide fig. </
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<
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xml:space
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">4,
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ambo ſimilia fila c b, b d, alligavi duobus clavis c & </
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<
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<
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dio b appendi pondus pedetentim auctum uſque ad 24. </
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<
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xml:space
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">libras, obſer-
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vans, ut angulus c b d etiam foret 33 graduum, elapſoque horæ minuto,
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filum c b d diffractum fuit: </
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<
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xml:space
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">ſi ambo fila non intorta fuiſſent, tu-
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liſſent ad minimum 25 libras, adeoque intorta evadunt gerendis
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ponderibus ineptiora: </
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<
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xml:space
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">Cum autem angulus c b d eſt 33 graduum, eſt
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in fig. </
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">angulus r s q graduum 147: </
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xml:space
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">ponamus latus r s = s q ſingulum
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eſſe 12 {1/2} partium, invenietur per regulas Trigonometriæ latus r q
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24 partium, qui numerus exprimit pondus P, quod funem dif-
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fregit.</
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<
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xml:space
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">Reaumurius filum ſumſit longum, cui appendit pedetentim li-
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bras 10, a quibus rumpebatur: </
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<
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ſit mediocriter, tum vero appendere huic novo funi tantum po-
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tuit libras 16; </
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<
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