Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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ſit ſemper HK = HT; </
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<
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VIII.</
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hæc curvam AIF quoque continget.</
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<
s
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xml:space
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">Eſt enim GK = GH + HK = GH + HT GA = GI.</
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<
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VII.</
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quare punctum K extra curvam AIF jacet; </
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<
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vam AIF continget.</
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<
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atur habere proportionem, tangens ejus facilè determinatur ex hac, & </
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octava octavæ Lectionis.</
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<
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ut ductâ utcunque rectâ DEF (quæ rectam AP, curvas AEG,
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AFI punctis D, E, F, ſecet) ſit ſemper recta DT æqualis arcui AE;
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arcui EA; </
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">& </
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hæc curvam AFI tanget.</
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VII.</
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ad AB parallelâ (quæ curvam AEG in G, rectam TE in H, cur-
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VI.</
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vam LFL in L ſecet) ſit perpetuò recta PL æqualis ipſis TH, HG
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ſimul; </
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curvam AFI
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tangit. </
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VIII.</
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adeóque curva LFL rectam RFK tangit; </
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VIII.</
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tanget recta.</
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tionem habeant, recta RF nihilominus curvam AFI tanget, ut
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ex hac, & </
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relatæ ſint, ut à puncto D projectâ quâvis rectâ DFE, ſit perpetuò
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recta DF æqualis arcui AE; </
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ad E; </
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à D projectâ utcunque rectâ DH (quæ curvam DKK in K, rectam
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VIII.</
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TE in H ſecet) ſit perpetuò DK = TH; </
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<
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VII.</
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DH (quæ rectam TE ſecet in H, curvam LFL in L) ſit ſemper
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DL = TH + HG; </
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VIII.</
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itaque curvæ DIF, LFL ſeſe contingent, item curvæ </
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