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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">* quapropter erit punctum K extra curvam YFN.</
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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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<
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ac{αδολεοιαν} fugitans caſus præ cæteris obvios ac faciles arripiens pro-
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pono. </
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<
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<
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relatæ, ut à D projectâ quacunque rectâ DEF, habeant ad ſe rectæ
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DE, DF rationem ſemper eandem; </
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FS; </
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<
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<
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vides). </
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DK &</
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<
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XEM cadit.</
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<
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ter conſtat.</
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<
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nato puncto D projiciatur utcunque recta DEFG, habeant interceptæ
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EG, EF rationem ſemper eandem (puta quam R ad _S_) tangant au-
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tem rectæ ET, GT curvarum duas (puta XEM, ZGO) in E, G;
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<
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DM K L, (quæ ſecet rectas TE, TG punctis I, L, & </
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vam in K) habeant ſemper interceptæ IL, IK rationem eandem datæ
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R ad S; </
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VIII.</
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tangit; </
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illa quoque curvam YFN tanget.</
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<
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jus ( unà cum aliarum omnium conſimili ratione procreatarum ſeu _re_-
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_cipr ocarum linearum tangentibus_) _tangentem_ ità definiemus.</
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<
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latæ, ut ductâ liberè rectâ EDF ad poſitione datam parallelâ, ſit
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ſemper _rectangulum_ ex DE, DF par eidem alicui ſpatio; </
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tem recta ET curvam XEM in E, cum recta VD concurrens in T;
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tanget ad F.</
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<
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