Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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talis; </
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<
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xml:space
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">ut à puncto D ductâ quâvis rectâ DYH (quæ rectam BK ſe-
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cet in H, curvam DYX in Y) ſit perpetuò ſubtenſa DY æqualis re-
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ctæ BH; </
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<
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">oportet curvæ DYX tangentem ad Y rectam determi-
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nare.</
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<
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<
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">cui occurrat recta YER
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ad BK parallela; </
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">& </
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<
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<
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= ang. </
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<
s
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xml:space
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">DY = BH, ac DR = DB) triangulum RDY
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triangulo DBH ſimile ac æquale; </
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:</
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<
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DYX tangens in Y.</
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<
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BXX talis, ut à puncto Dprojectâ quâcunque rectâ DX (quæ re-
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ctam BK ſecet in H, curvámque BXX in X) ſit perpetuò HX ipſi
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BH æqualis; </
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<
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<
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">Concipiatur curva DYY talis, ut perpetuò ſit DY = BH (talis
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nempe, qualem attigimus in præcedente) hanc verò tangat recta YT
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in Y, ipſi BK occurrens in R; </
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ſcripta cenſeatur _hyperbola_ NXN; </
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cta DN (lineas expoſitas ſecans, ut vides) Eſtque jam OM
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9. Lect. VI</
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D I) &</
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gens, hæc ipſam curvam BXX quoque continget.</
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<
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