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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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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">ducatúrque EF ad AH parallela; </
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<
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xml:space
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">hujus cum lineis expoſitis interſe-
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ctiones æquationum propoſitarum radices exhibebunt reſpectivè; </
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<
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utique EK, vel EI, vel EM, vel EN æqualis ipſi _a_;
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</
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<
s
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">hoc eſt ipſis AG, concipiendo à ſingula interſectione deduci ad AH
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perpendiculares, quæ puncta G determinet.</
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<
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<
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<
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">quidem poteſt
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GA deſumi quavis deſignatâ major) eò ordinatæ GK, GL, GM, GN
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magìs increſcunt; </
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<
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">adeo ut quantacunque ponatur AE, parallela EF
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curvis occurſura ſit; </
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<
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">& </
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<
s
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xml:space
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">proinde ſemper habetur vera radix iſtarum
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æquationum cuilibet conveniens; </
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<
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xml:space
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">& </
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<
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">ea tantùm una, quoniam EF
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curvas iſtas unico puncto interſecat.</
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<
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<
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">_Curva_ ALL eſt _hyperbola æquilatera_, cujus _axis_ AB, reliquæ
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AMM, ANN ſunt _hiperboliformes_.</
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<
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<
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">AQ = {1/4} AB, du-
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cantúrque OT, PV, QX ad BS parallelæ, erunt hæ curvarum ALL,
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AMM, ANN _aſymptoti_.</
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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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benemagna ſit, exiguæ erunt.</
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<
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<
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<
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<
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- _baa_ = _n_
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.</
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<
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- _ba_
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= _n_
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, &</
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<
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<
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<
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<
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ſint anguli RAI, SBI ſemirecti; </
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<
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BMM, BNN tales, ut ſi utcunque ducatur GZ ad AI perpendicu-
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laris (dictas lineas ſecans, utì cernis, punctis K, L, M, N, Z) ſit </
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