Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
s
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xml:space
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">Hinc noto ſpatio AK LD cognoſcetur curvæ AMB quantitas.</
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<
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<
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xml:space
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xml:space
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">Fig. 160,
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161.</
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ctâque β γ = BC, completóque _Rectangulo_ αβγψ, ſit curva OXX
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talis, ut FX ipſi TY æquetur; </
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<
s
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xml:space
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">erit _ſpatium_ (infinitè protenſum)
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AD OX X æquale _Rectangulo_ αβγψ.</
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<
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xml:space
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<
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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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">hoc eſt μ ν. </
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xml:space
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<
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">μ θ. </
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μ ν x μ θ = FG x FX. </
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<
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<
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<
s
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xml:space
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">Hinc rurſus, explorato _ſpatio_ ADOXX curva AMB innoteſcet,</
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<
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xml:space
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">Fig. 160,
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161.</
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= R; </
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<
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<
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_gulum_ αβδ ζ æquale _ſpatio_ ADOXX. </
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curva prorſus innoteſcet.</
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<
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<
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xml:space
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NR x FX; </
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<
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xml:space
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<
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cere videantur.</
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<
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ter oſtendi, poſito curvæ AMB convexa rectam AD ſpectare.</
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κπς) _deſignandi_, quæ _dimenſionem_ admittunt qualem qualem; </
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ità procedas.</
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<
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_lam_, duabus parallelis rectis AK, DL; </
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cunque KL _comprebenſam_ accipe sîs. </
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tera ADEC, ut ductâ quâ cunque rectâ FH ad DL parallelâ (quæ
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ſecet lineas AD, CE, KL punctis F, G, H) adſumptàque rectâ de-
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terminatâ Z; </
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quinetiam ſit curva AIB talis, ut ad ipſam productâ rectâ GF I, ſit
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_rectangulum_ ex Z, & </
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ex Z, & </
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<
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