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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ſit adjicere. </
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<
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potior inde fructus emerget.</
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<
s
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">in hoc ſignatum
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punctum A; </
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<
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">curva reperiatur, puta LMB, talis, ut ſi ductâ utcun-
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que rectâ PEM axi ADperpendicularis curvam KEG ſecet in E, & </
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<
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curvam LMB in M; </
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<
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tangat recta TM; </
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<
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">ſit TMipſi AEparallela.</
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</
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<
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">Per aliquodcunque punctum R, in axe AD fumptum,
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protendatur recta RZad ipſam ADperpendicularis; </
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<
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">cui occurrat re-
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cta EAproducta in S; </
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<
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<
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">in recta EPſumatur PY = RS; </
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<
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">ità de-
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terminetur curvæ OYY proprietas; </
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<
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">tum ſit rectangulum ex AR, & </
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PMæquale ſpatio AYYP(ſeu PM = {ſpat AYYP/AR}) habebit
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curva LMMBconditionem propoſitam.</
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<
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<
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">Adnotari poteft, ſi ſtantibus reliquis, ſit curva QXX talis, ut cum
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hanc ſecet recta E Pin X, ſit PX = AS; </
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<
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">erit ſpatium AXXP
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æqualerectangulo ex AR, & </
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<
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pendiculari, connexâque DE; </
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<
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">deſignetur curva AMB talis, ut ſi
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producta recta EPM hanc ſecet in M, ipſamque tangat recta MT,
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ſit MTad DEparallela. </
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<
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parallela; </
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<
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">huic occurrat producta DEin S, & </
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<
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ſit, ut ſi hanc ſecet producta PEin Y, ſit PY = AS; </
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<
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PM = {Spat. </
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<
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<
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<
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= AD, & </
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curva AM x AD = ſpat. </
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