Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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larum æquidiſtat recta, pariter omnibus æquidiſtat, ut in elemento
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primo demonſtratur.</
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<
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xml:space
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">Operæ pretium exiſtimavit _Apollonius_ hoc de _parabola, & </
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_bola_ ſpeciatim demonſtrare.</
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<
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tantùm excipitur, ad extremum lineæ recurrentis. </
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<
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xml:space
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vel altero _Theoremate_ demonſtravit _Apollonius_.</
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<
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A, ſupráque limitem, ſiquis erit, motûs deſcenſivi) curvam
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ſecabunt.</
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ductæ curvam ſecent oportet. </
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_tioni in ſectionibus conicis_ laborioſam operam impendit _Apolloniu_.</
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(quas nempe propoſitæ curvæ ſinus verſos appellare fas erit mi-
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norem inter ſe rationem habere (minores cum majoribus comparan-
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do, ſeu minores antecedentium loco ponendo) quàm habent re-
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ſpectivæ AY partes, iiſdem temporibus decurſæ (quas & </
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propoſitæ ſinus rectos appellare nil dubitem.) </
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minorem rationem habet, quàm AB ad AC, vel BM ad CF; </
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CN &</
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paſſim oſtenſum.</
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<
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mota retrogradè (à D puta verſus A per DA) moveri concipiatur,
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ab aliquo curvæ propoſitæ puncto, velut O, incipiens; </
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<
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per ratione dictum punctum ab O aſcendens quoad velocitatem de-
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creſcat, quâ ad ipſum O deſcendens increverat, eadem curva pro-
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ducetur. </
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ratus.</
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puncto M tangere (ſic ut eam nempe non ſecet) occurrátque tangens
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hæc rectæ AZ in T, ducatúrque per M recta PMG ad AY parallela;
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óque motu curvam deſcriben-
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tis, quam habet ad contactum M, æquari velocitati, quâ recta
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TP deſcribetur uniformiter eodem tempore, quo recta AZ </
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