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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 23, page id 797435492:0043
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L E C T. 1+
ctum. Flis utcunque majoris eridentix caula, praelibatis, ad corolla-
ria quae diximus expromenda nos conteremus e restisio.
II. Imprimis autem (posthac quidem in decurtu, quoad plures sibi
parallelos, aut ab eodem puncto diversentes (vel in idem conversen-
Fes) d huic rel illi singulari, guae tractanda veniet, superticiei inciden-
tes (radios, lingularia quorris inflexos designandi compendia, radia-
tionibus organice examinandis profutura, tradituri) generales nunc
aliquos incidenti cuiris propolito competentem inflexum altionandi
modosproxonemus; quorum adhiberi PosTic, qui rei narx ridebitur
accommodatior. Pro reflectione. Incidat racius A B ad B. Fit per
B ducatur B reflectenti perpendicularis; _ Fiat ang. a B  == an9.
AB Q, vel per B ducta liC F F refectentem tangens; _ Fac an.
a BF = ar8. ABF; liquerque factum esse, modo urrovis, quod E1g. 16.
requirebatur, Pro retractione vero; ducatur B relringenti per- Fig. 17, 18,
pendicularis, ee Tupex diametrum (in hrac libere Cumptam) OB de- 19.
seribatur semicirculus, incidentem AB secanS in R; tum adjuncta
QR, Factoque T. R:: O R. Y (terminis autem L, K hic _ dehine
perpetuo proportio refractiones meriens indignitatur) circulo O RB
adapEetuE C S ipsam P exXquanS; exit connera SB prOtracta nempe)
incidentis A B refracta. e Vel: per incidentix punctum B ducatur F. F
retringentem continsens; _ in hac urcunque sumpra BR Cit circuli
diameter, incidentem AB secantis ad R; e AatI. R:: BR. T.
ee adaptetur BS == T. eric S B a ipSIUS A B retTaCtUS: Vel demum.
In ipsa A B sumpea ut cunque diamerro R B, super hac delcriptus cir:
culus secet perpendicularem B ad C; vel cangentem. P F in R: 3
Eutque l. H:: BR. T. _ adapFetur 1S =T; erit ruruS SB a inci-
dentis A B retractus. Quorum ratio e voliris infectionum lesibus ad
modum est manitesta. verba piser impendere.
III. Raclii cujusris incidentis insexus inflexi vicissim incidens
erader.
Hoc plerique, divexse paullo prolatum, accipiunt, aue postalane. Athaz. VII. 24.
epraemistis aurem Facillime collisitur. Idque porius methodi graria Heris. Carop.
(licur exnonnulla guxe seguentur) quam quia res meretur, ostende. Ariom. 2
muS. Proreflectione; Radius A B Sxeculo F F impinsens refectatur F19. 1. 16.
in Ba; dico radium B a permutarim in B a reflecti. Nam quoniam
A B. incidens reflectitur in B a, erit ang. a B F x qualis ansulo ABE.
Polico jam a B incidere, etiam angulus quem Facir ejus reblexus cum
BE aequabitur angulo a BF; proinde non alius erir ab ip(O AB F
quare B Aipsius a B retlexus exir.
PrC