Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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{_cc_/3}, ac ordinetur PV ad curvam AMH, erit PV maxima; </
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<
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<
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AQ = {3/8}_b_ + √{9/64}_bb_ + {_cc_/2}, & </
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<
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xml:space
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">ordinetur QX ad curvam ANH
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erit QX maxima.</
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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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<
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">√ _cc_ + {_bb_/4}; </
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<
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xml:space
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tio ſi (poſito fore f = {_b_/3} + √{_bb_/9} + {_cc_/3}) ſit _n_
<
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&</
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<
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<
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">_ccf_ + _bff_
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- _f_
<
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; </
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<
s
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xml:space
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">in quarto, ſi (poſito fore _g_ = {3/8}_b_ + √{9/64}_bb_ + {_cc_/2}) ſit _n_
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&</
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<
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<
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">_ccgg_ + _bg_
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- _g_
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; </
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<
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">nulla datur radix; </
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<
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">nam his ſupp ſitis,
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recta EF curvis non occurret, reſpectivè.</
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<
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">4. </
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<
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">Si fuerit Aφ = {_b_/4} + √{_bb_/16} + {_cc_/2}, & </
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_Nodus_ curvarum; </
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<
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xml:space
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">unde ſi _n_ = Aφ; </
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<
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">erit Aφ una radicum in omni-
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bus.</
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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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<
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tùm radix.</
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<
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">minima eſt in nona ſerie) eſt
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AH = {_b_/2} + √{_bb_/4} + _cc_.</
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<
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liquæ HMμ, HNν ſunt _hyperboliformes_; </
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xml:space
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ſemper unam, & </
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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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+ _baa_ - _cca_ = _n_
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.</
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<
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+ _ba_
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-_ccaa_ = _n_
<
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, &</
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