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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<
s
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xml:space
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">Quod ſi ponatur _m_ x TL = _n_ x arc BL , erit GL {_n_/} x BL {_m_/}
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maximum, ſeu majus quàm γ λ {_n_/} x B λ {_m_/}.</
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<
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xml:space
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<
s
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xml:space
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">Si fuerit TG x GL = DG LB, erit DG LB x GL maxi-
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mum, ſeu majus quàm D γ λ B x γ λ.</
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<
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xml:space
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">_Theor_. VI.</
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<
s
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xml:space
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">Sin TG x GL = 2 DG LB, erit GL x √ DG LB maxi-
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mum, ſeu majus quàm γ λ x √ D γ λ B.</
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<
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<
s
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">Haud difficili negotio, cum hæc demonſtrantur, tum ejuſmodi
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complura deprehenduntur.</
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<
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">Ad illa verò ſuccinctius comprobanda deſervire poſſunt bujuſmodi
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Tbeoremata.</
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<
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xml:space
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">Sint duæ curvæ AG B, DH C quarum communis axis AD ,
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ſed ordinatæ inverſo ſitu increſcant ab A ad DB , decreſcant à D ad
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AC ; </
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<
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">ad ordinatæ verò communis GE H terminos, recta GS cur-
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vam AG B, & </
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<
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<
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dinatarum in continuum jacentium ſumma.</
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<
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">Nam utcunque ducta OK FL P ad GE H parallela (quæ Li-
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neas ſecet ut cernis) erit GH = QP &</
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<
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aliàs GE H erit minima.</
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<
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SE x TE. </
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SE x TE &</
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