Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
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prioribus. </
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<
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{rCq - rcq/Q + q} , & </
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<
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">quæ pertinet ad globum q, erit = {rCQ - rcQ/Q + q},
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adeoque velocitas illius poſt congreſſum erit C - {rCq - rcq/Q + q},
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& </
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<
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tidem reducuntur
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ad eoſdem denominatores; </
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<
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ſuperioribus quam plurima elegantiſſima theoremata deducun-
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tur, quæ quidem pa ſſim inveniuntur in elementaribus libris,
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& </
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<
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Stayanis ad lib. </
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<
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& </
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<
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">primarias formulas derivaſſe ex eadem Theoria, & </
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<
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prietatibus centri gravitatis, ac motuum oppoſitorum æqua-
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ſium, deductis ex Theoria eadem; </
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<
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evolvam caſus uſui futuros infra, antequam ad obliquam col-
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liſionem, ac reflexionem motuum gradum faciam.</
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<
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globus perfecte
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elaſticus incur-
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rit in alium.</
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quieſcentem, erit c = o, adeoque velocitas contraria priori per-
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tinens ad incurrentem, quæ erat {2Cq - 2cq/Q + q}, erit {2Cq/Q+q}; </
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<
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locitas acquiſita a quieſcente, quæ erat {2CQ - 2cQ/Q + q}, erit
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{2CQ/Q+q}; </
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<
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arum ad
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duplam maſſam quieſcentis, vel incurrentis, ita celeritas incurrentis
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ad celeritatem amiſſam a ſecundo, vel acquiſitam a primo; </
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<
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">& </
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maſſæ æquales fuerint, fit ea ratio æqualitatis; </
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<
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bus incurrens totam ſuam velocitatem amittit, acquirendo ni-
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mirum æqualem contrariam, a qua ea elidatur, & </
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<
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ſcens acquirit velocitatem, quam ante habuerat globus incurrens.</
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<
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globi incurren-
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tis in planum
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immobile.</
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ſcentem immenſum, & </
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jus idcirco ſuperficies habetur pro plana, in formula velocita-
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tis acquiſitæ a globo quieſcente {rCQ - rcQ/Q + q}, cum evaneſcat Q
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reſpectu q abſolute infiniti, & </
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<
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formula evaneſcit, adeoque ipſe haberi poteſt pro plano im-
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mobili. </
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<
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tam acquiret globus incurrens, {rCq -rcq/Q + q}, evadit c = </
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