Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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ellipſin jacent. </
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<
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xml:space
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<
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<
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O, & </
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<
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<
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<
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<
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ter O, & </
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<
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<
s
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xml:space
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">imaginis itaque φαγ figura ad ellipticam accedit;
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</
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<
s
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">eâ tamen aliquanto planior & </
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<
s
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<
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ad imagines ad concava factas, & </
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<
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judicium. </
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<
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">tædii plenum eſſet omnia ſingillatim percenſere. </
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<
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ê præmiſſis luculentè conſtat quo pacto linea φαγ præcisè deſcribatur,
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punctatim utique. </
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<
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">circa refractiones paria veniunt præſtanda; </
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<
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quam tamen paullùm reſpiravero; </
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<
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">nunc enim verbo quidem pauca,
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rei qualitatem, ſtudiúmque demonſtrandis iſtis impenſum reſpectan-
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do, ſatìs fortaſſe multa videor tradidiſſe.</
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<
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<
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XVIII.</
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<
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<
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<
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_circulum imagines aeſignare_; </
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<
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<
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heorema:</
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</
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<
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">In circulum (e. </
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<
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">medii denſioris) refractivum MBND radiet
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recta FAG; </
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<
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">huic verò perpendicularis ſit recta CA (circuli cen-
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<
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trum C permeans) tum in recta FG ſumpto liberè puncto F ducatur
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recta FC; </
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<
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xml:space
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">in hac ſit punctum Z limes (qualem anteà fiximus)
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radiationis à puncto F; </
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<
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CA. </
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CE ad XZ parallela) tum connexa RE cum ipſa XZ conveniat in
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H. </
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">Nam (è præmonſtratis) eſt FC x MZ. </
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CA. </
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x CZ :</
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<
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">quare (ducendo in ſe extrema, mediáque)
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eſt FC x CM x CR + FC x CZ x CR = FC x CZ x CA -
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CM x CZ x CA = FC x CZ x CA - CM x FC x CX (quoniam ſcilicet </
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