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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 76, page id 797435492:0124
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L. E C T. Z Lo
in aXC CapIatE C K = CO, Connectaturgue recta NR, FOrC NK
ipsius MIIP retractum. Connectantur enim rectae FG, BC; _
quoniam est B2. CZ:: (I. R::) FZ. FC; erie permutando
BZ. F Z:: C Z. F C. dividendoque B F. F L:: F Z.
FC. itaque patet triangula B F C, C FC (lacera Ccilicet habencia
cirea communem angulum C F C proxortionalia) similia fore.
quamobrem erit BC,. GF:: G C. C F. seu permutatim BC. 6C
:: GF. C F. hoc est B(. GC:: FZ. CF:: I. R. verum in eri-
ansulis B CC, NICK est BC = CN, _ C C =CR; EE ang.
BCC =-NC.R; adeoque BC. G,C:: NR. C R. quare exit quo-
rect. 3. nu- Gue NK. C. R:: l. R. erso, +secundum generarim aurehac octensa,
liguet NIR iplius M N refractum exictere.
Coroll. Adnoretur esse triangula BFG, G F C similia; ac esse
BO. CC:: l. R; _ a18. BO F = G CF;  esse B. F, FC,
FC. i: ec.
III. Ex hoc (lane pulchro, perurilique Theoremate) cuum parricu-
haris exoritur methodus hujusnodi quotcunque retractos expedicissime
sen delineandi, seu computandi; cum ipsorum praecipua simptomata
Facilime discernuntur ac demonstrantur. qualia lune, guxe in subjectis
exhibentur Corollariis.
IV. Patet hinc punctum Z. esse limitem ultra quem (respectu cen-
eri) nullus axem incerlecar retractus; Peu perpendicularis ipsius A B
(vel ei Caltem quam proxime adjacenris radii) retractum ad Z. termi-
nari. quia nimirum est C2C. C. 6, vel C. R.
V. Consequirur etiam, Ci duorum incidentium M N, OR (quorum
OR Cc obliquior) refracti conveniane cum axe punctis R, L, Fore
CRC CL. Frenim (I rectae NC, R C ad circulum retractarium
Cita circulum F C Q. meriro subinde nominabimus) producantur, vt
ipsum secent punctis C, H; liquer esse CGF CH; adeoque CR
= C L. Flinc
VI. Ad ealdem parres incidentium retracti sele prius incertecant
quam axem; (veluri puta retracti NR, R L. sese deculsant in X.)
VII. Ouinetiam, Si in primo calu per centrum C ducatur recta
V I ad BZ perpendicularis, dictoque circulo retractario occurrens
sell:; d tiac C Y = CI, parec punctum Y esse limirem retradtionis
cite
E18. 109.
Mero. 10.
F18. 210
218. IXZ.
18. TTF.
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