Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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dinatam BDin I, & </
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<
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<
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<
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<
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">vel, ſit linea AL talis, ut ductâ MPY ad BDparallelâ (quæ ſecet
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axem ADin P, & </
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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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xml:space
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<
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tunc utrumque _ſpatium_ (ſingillatim) BRS D, vel ADL duplum _ſu-_
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_perfici@i conicœ_, quod ex recta per V & </
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<
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ratur.</
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<
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xml:space
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<
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rectæ NOKTad ipſam AD, & </
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neas expoſitas, ut _Schema_ monſtrat, ſecent) connectantúrque rectæ
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VM, VN. </
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<
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<
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<
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<
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MN x VG = MO x IX = IK x IX. </
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<
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">Item eſt NO. </
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<
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xml:space
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Eſt autem MN x VG duplum trianguli MVN. </
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x IX, quàm QP x PY duplum eſt _trianguli_ MVN. </
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<
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ubique fit. </
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<
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CV = CA = _r._ </
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rem expedit peragere) tum connexâ MC; </
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CPq:</
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eſt 2 _xx_ - _rr_. </
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/_xx_}. </
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/2 _xx_ - _rr_}. </
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xml:space
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/2 _xx_ - _rr_} +
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_rr_ = {2 _rrxx_/2 _xx_ - _rr_} = {VAq x CPq/MCq}.</
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<
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VG. </
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<
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caſu, quum ubique ſit IX = VA, _lineam_ RS fore _rectam_; </
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<
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_gulum_ BRSD _ſuperficiei conicœ_ AMBV _duplum eſſe._</
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<
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eruditione præſtans, Vir (_Collegii noſtri, quod olim Sociorum Com-_
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_menſalis incoluit_, ornamentum) D. </
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(ipſius injuſſu quidem, at ſpero non ingratiis) ſeu _Gemmâ_ quâdam au-
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debo mea condecorare.</
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