Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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omnia AZ x AE + BZ x BF + CZ x CG, &</
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<
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<
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crunt omnia AZ x √ VAZ φ + BZ x √ VBZφ + CZ x
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√ VCZφ, &</
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<
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<
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xml:space
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">= {DHcub/3} √{1/2} = √ {DH
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/18.</
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<
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">} Eſt autem DH_q_ =
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2 VD ψ φ, vel DH
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= 8VD ψ φ {3/ }; </
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<
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√ VAZ φ + BZ x √ VBZφ + CZ x √ VCZφ, &</
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<
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<
s
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xml:space
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{8/18} VD ψ φ {3/ } = {2/3} √ VDψφ {3/ }.</
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<
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R, & </
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<
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nus rectos AZ, BZ, CZ, &</
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<
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<
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&</
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<
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P
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/8.</
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P
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/18.</
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<
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">Si VD ψ ſit parabolæ ſegmentum, factum è ſegmentis in applicatas
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erit {2/9} VD_q_ x Aψ_q_; </
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erit {2/3} √ {8/2} { /7} VD
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x Dψ
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√ {3/2} {2/4} { /3} VD
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x Dψ
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.</
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<
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_aliis in applicatas, aut ſinus ductis_, hinc extundi poſſent.</
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<
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ribus interjectæ) VP per reſpectiva puncta A, B, C, &</
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<
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tur applicatæ, puta ut AY, BY, CY, &</
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<
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">erit è ſic applicatis _conſtitutum ſpatium_ ADξθ _æquale ſemiſſe quadrati_
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_ex ſubtenſa_ VH.</
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<
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<
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<
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AP + BP + CP&</
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<
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xml:space
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{VH_q_.</
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= AP, & </
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<
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