Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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rallelâ, ſit rectangulum ex PM, PZ æquale quadrato ex CL (vel
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PZ = {CL q/PM}). </
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<
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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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">DKZP/CL} (vel ſector
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LCX ſubduplw
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s ſpatii DKZP) & </
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<
s
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xml:space
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">in CX capiatur C μ = PM;
<
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</
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<
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xml:space
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">erit linea βμμ ipſius BMA involuta; </
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<
s
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xml:space
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">vel ſpatium Cμβ ſpatii
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ADB.)</
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<
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<
s
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xml:space
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">_Exemp_. </
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<
s
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xml:space
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">Sit ADB circuli quadrans; </
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<
s
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xml:space
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">erit ergò (quod è præmonſtra-
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tis conſtat) ſpat. </
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<
s
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xml:space
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">DKZP (2 ſector LCX). </
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<
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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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xml:space
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C μβ eſt rectus, adeóque linea βμ C eſt _ſemicirculus_.</
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<
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<
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erint; </
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<
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tæ_ ſint _Cμβ Cνγ_; </
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<
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:</
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</
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<
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<
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<
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ſi utcunque à Cprojectâ rectâ C ν S, habeant Cν, CS ean-
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dem perpetuò rationem, erunt hæ ſimilium linearum _invo-_
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_lutæ_.</
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<
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comprehensâ, eicompetentem _evolutam_ deſignare.</
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<
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">_Centro_ Cutcunque deſcribatur _circularis arcus_ LE (cum rectis Cβ,
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Cφ conſtituens ſectorem LCE) tum ductâ CK ad LC perpendicu-
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lari, ſit curva β YH ità rectam CK reſpiciens, ut liberè projectâ rectà
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CμZ, ſumptâque CO = arcLZ, ductâque OY ad CK perpen-
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diculari, ſitOY = Cμ; </
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<
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BMF, ut cùm ſit DP = {ſpat. </
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<
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xml:space
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<
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cularis; </
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<
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am PM = Cμ; </
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<
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<
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<
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<
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<
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