Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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punctum Zinfra punctum M; </
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<
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unde arc PA. </
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<
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<
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<
s
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<
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<
s
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xml:space
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<
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xml:space
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<
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PM. </
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<
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<
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<
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<
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<
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<
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<
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">& </
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<
s
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xml:space
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PA. </
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<
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<
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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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xml:space
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<
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xml:space
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<
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</
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<
s
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xml:space
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<
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<
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<
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<
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<
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<
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<
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rſus
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itaque liquet Punctum K extra curvam exiſtere. </
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<
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MKZ extra curvam verſatur; </
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<
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xml:space
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">& </
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<
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">eam tangit ad M: </
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<
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In tranſcurſu hoc. </
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<
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<
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piam EF (à puncto nempe quopiam E in recta infra punctum T ſum-
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pto) hæc curvæ occurret.</
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<
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xml:space
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">Si enim infra punctum M in curva ſumatur punctum quodlibet, & </
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ab eo duci concipiatur curvam tangens recta; </
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TM infra ordinatam PM. </
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<
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priùs tranſiliat oportet. </
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<
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<
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& </
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quàm infra contactum M.</
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<
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<
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<
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<
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">Cæterùm ad penitus determinandos occurſuum locos _Specialis mo-_
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_dus ſeu ratio motuum deſcendentis atq; </
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<
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">tranſverſi cognoſci debet_; </
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<
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eos _Analyſis_ ſtatim prodet.</
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<
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tam æqualiter inclinentur (hoc eſt æquales cum ejus ad occurſus tan-
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gentibus (puta cum ipſis MT, NX) angulos efficiant) hæ extrorſum
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divergent, ſeu ad partes EF productæ concurrent.</
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<
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<
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ipſa AZ conveniet, puta ad O. </
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</
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MNK &</
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<
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<
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Limitandum eſt hoc, intelligendo pares angulos HMA, KNA ad
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eaſdem partes veſari; </
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<
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<
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cotnrà eveniet.</
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</
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<
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<
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<
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genti MT) & </
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<
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<
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nima rectarum omnium, quæ à puncto H duci poſſunt ad curvam.</
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