Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
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malis plano A I, ſecans L N in N; </
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neæ
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N per
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deſcribatur circulus, qui etiam per L tranſ-
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ibit; </
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R pars quarta lineæ
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I; </
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<
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zonti perpendicularis, id eſt parallela lineæ
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L, linea R b,
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quæ circulum ſecat in B & </
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<
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<
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xml:space
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">ſi corpus projiciatur per
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B
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aut A b cadet in I. </
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<
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">Qua methodo directio jactus determi-
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natur, ſi punctum ſit in linea horizontali per A tranſeunti
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(in quo caſu L & </
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inclinato ſive ſupra ſive infra lineam hanc horizontalem.</
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<
s
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">Motu æ quabili celeritate, cum qua projectio fit, corpus
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poteſt percurrere
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E, dum cadit per EI Quia corpus pro-
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jicitur velocitate per
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cadendo acquiſita, eodem motu
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æ quabili poteſt percurrere duplam
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in tempore in quo
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ab altitudine
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cadit . </
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xlink:label
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quabili percurſa, ſunt ut tempora in quibus percurruntur;</
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">95.</
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ergo tempus caſus per
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ad tempus caſus per EI, ut
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dupla
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ad
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E. </
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ad
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E
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ut,
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ad
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EI , Quam ergo proportionem ſi demonſtremus dari
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conſtructione præ cedenti, directionem benè fuiſſe determi-
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natam conſtabit.</
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R a tangente
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R,
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eſt enim perpendicularis radio
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O, & </
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cante
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B formatum æ qualem angulo
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MB in ſegmento
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oppoſito ; </
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,
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B, ſunt æ quales ;</
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ergo ſunt ſimilia triangula
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BR,
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LB, & </
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,
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B,
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, proportionales; </
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ad
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B
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ut
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ad
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BR; </
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ad 2
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B
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, aut
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C
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ut
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ad BR:
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</
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ad
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multiplicatum per quatuor, id eſt 2
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C
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, aut
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E
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, ut
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ad 4 BR, aut EI, quod demonſtrandum
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erat.</
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<
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de ſequitur corpus per duas directiones poſſe projici ut in
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idem punctum cadat, ſi autem diſtantia ſit omnium maxima
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ad quam corpus, data velocitate, in plano dato, poteſt pro-
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jici, unica eſt directio per quam projiciendum eſt </
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