Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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M x TP:</
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<
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xml:space
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<
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xml:space
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">& </
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<
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xml:space
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">connectatur SF; </
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<
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FBF tanget; </
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<
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xml:space
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">id quod omnino ſimili diſcurſu demonſtratur, quo ter-
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tia hujus; </
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<
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xml:space
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">tantùm hîc (non per E ad VD parallela ducitur, at) con-
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nectitur ET; </
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<
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xml:space
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">& </
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<
s
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xml:space
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">loco ſeptimæ allegatur octava ſeptimæ Lectionis.
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<
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<
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<
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xml:space
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">Adnotetur, ſi linea EBE ſit recta, (rectæ nempe BR coin-
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cidens) eſſe lineam FBF ex _infinitis hyperbolis_ (vel _hyperboliformi-_
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_bus_) aliquam; </
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<
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xml:space
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">quarum igitur (unà cùm aliarum infinities diverſi ge-
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neris plurium) _Tangentes_ determinandi modum uno _Tbeorem
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ate_ com-
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plexi ſumus.</
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cadant; </
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M \\ - N} x TD. </
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<
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xml:space
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Lectionis quintam adhibendo.</
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am EBE rectam eſſe, lineæ BR coincidentem) aſt aliarum alterius
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generis _linearnm innumer abilium Taxgentes_ unâ operâ determinan-
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tur.</
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= 4; </
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xml:space
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">erit SD = {5 TD x RD/4 RD - TD.</
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infinitam; </
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relinquo.</
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_Ciſſoidaliam_ omne genus comprehenditur: </
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gulus DSB; </
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ductâ liberè rectâ GE ad BD parallelâ, (quæ lineas expoſitas, ut
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conſpicis, ſecet) ſint PG, PF, PE continuè proportionales; </
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autem recta GT curvam SGB in G, reperietur quæ ad E lineam SEB
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tangit, faciendo 2 TP - SP. </
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RE curvam SEE tanget. </
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