Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
s
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xml:space
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">Nam _aſymptotis_ ER, AB per F deſcripta concipiatur _hyperbol@_
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OFO; </
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Lect. VI.</
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ſecans, utì cernis. </
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&</
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<
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<
s
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YF N quoque tanget.</
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<
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YF N _Conchois_ prima vulgaris, ſeu _Nicomedea_; </
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<
s
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è generali ratione quâdam habetur determinata.</
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<
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<
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DFG talis, ut ductâ liberè rectâ PFE ad p@itione datâm quandam
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parallelâ, poſſit recta PE quadratum ex PF unà cum quadrato ex da-
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tâ Z; </
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PT. </
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<
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<
s
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">Nam concipiatur curva VFH talis, ut liberè ductâ QK ad PE
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parallelâ (quæ lineas expoſitas ſecet ut vides) ſit perpetuò QKq =
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QHq + Zq; </
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Zq &</
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curvam DFG tanget ad F ; </
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Lect. _I_.</
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tangit recta SF. </
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<
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data Z poſſit quadratum ex PF; </
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& </
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<
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<
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AD, ac ità verſus ſerelatæ, ut ductâ quâcunque rectâ FEG ad AD
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perpendiculari ( quæ rectas expoſitas ſecet ut vides ) ſit ſumma qua-
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dratorum ex ipſis EF, EG æqualis quadrato ex determinata recta Z;
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<
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tangat autem recta FR ex his curvis unam AFB; </
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<
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<
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rectas FR, ER ſecet punctis K, Q, curvam OGO in O ) ſit QKq
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+ QO = Zq; </
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<
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<
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curva OGO curvam CGD (introrſum) tangit. </
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VI.</
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