Barrow, Isaac - Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

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8062 NR, RX; & incidentinm AN, AR, AX reflexi GN, HR, IX
11Fig. 85. axi occurrant producti punctis K, L, M; erit intervallum ML ab
obliquiorum occurſibus concluſum majus ipſo LK rectiorum occurſi-
bus intercepto.

Nam quoniam eſt ANq + AXq & gt; 2 ARq. erit 2 ACq
- ANq - AXq & lt; 2 ACq - 2 ARq. adeóque ACq -
- AXq. ACq - ARq & lt; ACq - ARq. ACq - ANq.
hoc eſt, è præmonſtratis, CL. CM & lt; CK. CL; vel inversè
CM. CL & gt; CL. CK. quapropter erit CM + CK. & gt; 2 CL.
& ideò CM - CL & gt; CL - CK hoc eſt ML & gt; LK :
Q E. D.

XVIII. Hinc conſtat, etiam in hac hypotheſi, rectiùs incidentem
lucem â reflectione magìs inſpiſſari; ſeu ſpatio verſus limitem Z arcti-
ore conſtringi.

XIX. Quin ab his demum omnibus colligitur, ſi uſpiam in axe
(velut ad O) conſtituatur oculi centrum, quod punctum A neceſſa-
22Fig. 85. riò circa limitem Z apparebit. Etenim (prorſus ut in præcedente
quoad radios ab infinitè diſſito puncto manantes hypotheſi) ab axis
illi puncto adjacente parte radii cùm copioſiores, tum axi viciniores,
oculóque rectiores, efficaciâ proinde præpollentes, nec non qui
faciliùs re-adunentur, provenire videntur. quæ nempe cuncta ſimul
ac emergentem propoſiti conſequentiam abunde, puto, dedimus
enucleata. Succedit ut hâc parte defuncti pro viſu extra radiationis
axem collocato itidem imaginis ſedem definiamus. veruntamen hæc,
quanquam haud ità quantitate multa , pro rei tamen obſcuritate for-
taſſis nimia videbuntur. itaque jam opportunum autumo deſiſtere.

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