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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 77, page id 797435492:0125
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I E C Y. Z I.
citeriorem: erie enim connexa V Y retractus obliquiltini radii, cen
TV, circulum retrinsentem continsentis.
VIII. Icem, in secundo casu si recta C V L circulum F C L Fan- F18. 172.
Bat in I, e adsumatur CY = CI, erir punctum Y cicimus alter
retractorum limes. Ftenim connexr V V retractus eric incidentis
(DutA VF) ad. BC paralleli; qui cerre cunctorum obliquistimus
eric hujulmodi retractionem parientium. quum enim. (+C prxmistIS.)  Fect. 3. num. 7o
COnDexa FI, (IE FL. C F:: l. R. hoc es linus rectus anguli F C. l
(vel ansuli CV T) ad linum FocumI, ut I ad R; nullus ip(O. ZV
obliquior medium BNV penetrabir; at ipse quicunque calis reper-
curierur; relur e  in 85.
IX. Carerum hic (rametli praecer ordinem non nihil, extraque
luum locum) cgresiam quandam ex praeserrim nocabilem iltius, quem
nuncuparimus, retractarii circuli proxrierarem incerleremus: Om-
nium a puncto B promanantium, _ a circuli EOZ cavis partibus
retractionem patentium (juxta casus praenominatos respectiram) re-
Fracti per punctum C tranlibunt.
Nam ejusinodi quilibet incidat radius BG5, _ (Aancibus qua prx-
Structa pramonstrataque CurL) criangula BO F, C C F similia TunF; F. 18. TY3,
angutusque BC F par angulo OC F; itemque E6. C F:: L. R, 1T4.
est aurem FG ad C F, et Sinus anguli O C. E hoc est ancali BC F)
ad Sinum anguli C. G. F. ereo sinus ansuli BCF (qui est anculus
incidemtia) ad Sinum anguli C C F se habet, ut lad R. ergo C (i6 cAF
retractus ipsius BC7: (1. F. V.
Nota. Si qui ad conrexas hujusce circuli partes incidunt, ita re-
Aectantur, ut perpetuo sinus ansuli incidenrix ad sinum anguli resexi
se habeat ut lad R; eriam reblexi per C rranlibunt.
Finc habetur unum (quoad hos casus) e praecipuis in Dioptrica
delideratum, perquam utile; Superficies simplicistima radios ab uno
puncto procedenres ita relrinsens, ut ranquam ab altero proveniant;
id quod demonstrationis adductus commodirate Corollari loco (licet
ad aliam perrinens hypochelin) hic apponere non dubitari, redeamus
e diverriculo.
L.Nocandum porro, use eoseseles circulos, iisque
competentes, modo praestituro determinatos, reteactarios adsumendo,
rectae C B, FZ, C F, CZ, C F caldem in uno, quas in altero quovis
proporciones obserrane; id quod tacilime demonstraur; et satis elu-
cescit