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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<
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xml:space
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">Inſervit hoc ſuperficiebus deſignandis, quarum in promptu ſit di-
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menſio, etenim (ductâ ME ad AD parallelâ) Superficies Solidi
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ex plani BM E circa axem DB rotatu progeniti adæquat {Periph/Rad}
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x GD X; </
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<
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Lectionis XII.</
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<
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">de Cycloide profer-
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tur Tbeorema quoddam, id quod ex bujuſmodi generaliori
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Tbeoremate deduci potuiſſet.</
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<
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<
s
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">SI t AM B curva quælibet, cujus Axis AD , baſis DB , ſit item
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curva AN E talis, ut ſi arbitrariè ducatur PM N ad DB E pa-
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rallela, poſitoque rectam TN curvam AN E tangere, ſit TN parallela
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ſubtenſæ AM ; </
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<
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neum AE G æquale Segmento AD B.</
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<
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">liſdem poſitis, ſi tam Segmentum
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AD B, quam Spatium AE G circa Axem AG convertantur; </
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<
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productum è Segmento AD BS olidum producti ex AE G duplum.</
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<
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<
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">E tangentium porrò contemplatione ſuborta eſt methodus, per
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quam expediſſimè plurima circa maximas quantitates Theoremata
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deducuntur; </
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<
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">quæ certè ſi tempeſtivè ſe objeciſſent, digna cenſuiſſem
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quæ Lectionibus inſererentur, ex iis indigitabo nonnulla.</
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<
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parallelæ LG , λ γ; </
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DG {_m_ - 1/} x TG = GL {_m_/}, erit DG {_m_/} + GL {_m_/} maximum, ſeu
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majus quam D γ {_m_/} + γ λ {_m_/}.</
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<
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DG {_m_/} x GL {_n_/} maximum, ſeu majus quam D γ {_m_/} x γ λ {_n_/}.</
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