Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
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<
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xml:space
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<
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gentem æqualiter inclinentur, híſque conveniant refracti FL, φ λ,
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erit C λ &</
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<
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<
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<
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catur recta BX cum BC angulum efficiens parem angulo refracto
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ad poſitam inclinationem pertinenti; </
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<
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<
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trum C tranſeuntes rectæ ipſi BX occurant punctis P, π. </
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<
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niam triangula FC L, BCPæquiangula ſunt (angulus enim CB P
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angulo CFLex conſtructione par eſt, & </
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<
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<
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FCLæquatur) nec non latus CB lateri CF æquatur, erit CP =
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C L. </
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<
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">Simili planè diſcurſu eſt C π = C λ. </
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<
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xml:space
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">Porrò quia C φ ad
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C _a_ (hoc eſt Sinus anguli C _a_ φ ad Sinum anguli C φ _a_) majorem
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rationem habet, quàm CF ad CA (hoc eſt quàm Sinus anguli CA F
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ad Sinum anguli AF C, vel æ qualis anguli C φ α) liquet angulum
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C _a_ φ majorem eſſe angulo CA F, adeóque reliquum _a_ C φ minorem
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eſſe reliquo AC F; </
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<
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<
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eſſe C π majorem quàm CP; </
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<
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</
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<
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<
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<
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xml:space
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<
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<
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BX promptiſſimè deſignari. </
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<
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<
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<
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<
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tiùm radiorum AM, AN (quorum AN ſit obliquior) refracti
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MK, NL axem ad eaſdem partes, directè pergentes, ſecent, iſte ad K,
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hic ad L; </
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<
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<
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<
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niam, è præmiſſis, eſt CK. </
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NA. </
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<
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<
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<
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<
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<
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</
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<
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<
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&</
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<
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<
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<
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<
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<
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NL. </
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<
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<
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<
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<
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<
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<
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<
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">&</
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NK. </
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<
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<
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<
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<
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obtufus; </
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<
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interno LNCmajor eſt; </
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<
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major eſt. </
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<
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<
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</
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<
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<
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<
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<
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</
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<
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<
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interſecant, velut ad X.</
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<
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