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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 75, page id 797435492:0123
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oE C T.
I.  Aroptrica circulari defunctus ad Diopericam promovemur:
quorsum incidentium quorcunque retractis unâ limulo pera
delineandis, adeoque retractionum symptomaris orpanice pertentan-
dis modum imprimis exponemus, prx caeteris, opinor expeditum.
Scorlim ad v2 equalem diamerro (N6) circuli retringentis deseri-
batur circulus vo r. icem habeatr v adS 3 rationem illam, quae re-
fractiones determinat (illam aurem deinceps, ut antehac, constanter
nuncupabo rationem I ad R) e super diametro Sy deleribatur quo-
que circulus SHI2. Incidat jam radius quilibetM NP, cui con- Fip. 107.
reniens delignandus est refractus. ut hoc assequamur, circulo adposi-
t0 a V adapteturVD = NP; e centro r per  descriptus circulus
secet circulum SHIV in H; connexaque r Ilcirculum rar intersecet
in E. demum COneKa vE, circulo NIP C accommodetur NZ=
rSi exit NX iplius NP retractus. Frenim (ductis CP, CX) eAt
gH. 28:: (352V::) I. R. hoc eAt 3 ∞. 78:: I. R. hoc est
OP. GX:: P. R. cum itaque sint ipsa G P, CX recti sinus angulo-
rum ON ~, C. NX (quorum C HP est angulusincidentix) liquer
propolitum.
II. Ad ipsa Symptomata prosrediamur exponenda radiis ad circu-
108.
lum retractis comperentia; quorum illa promore primo pertractabi. Fiv. 109.
mus, qua radianti puncto conveniunt ad infinitam quali distantiam
posiro, scu parallelos ad sensum radios ejaculanti. Ouocirca per
circuli retringentis Centrum C punctumque de longinquo radians
procendatur recta ACZ, cum Hat BZ. CZ:: I. R; necnon di-
vidatur CZ In F, uE SIE FL. FC: : I. R; _ cenrro F per Z deleri
batur circulus F GZ. his peractis, accipiatur jam quilibet ad A C
parallelus MNP (conrexis incidens an concaris parribus perinde
fuexic) dico si recta NC (ab incidentix nempe puncto per refrin-
genris cenrrum dusta) circulo F. C.Z. prorracta occurrat in 6; e