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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 64, page id 797435492:0104
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L E C F. 1Z.
Secans in N; _C per N ducatur RNC; haec ipsius AN reAexa
eric.
Nam ob AN9 = AC g - - Vg. eritVq = AC. 9 AN9.
adcoque CB9. ACq -- AIIg:: (C Bg. VG::) CR. AC.
quod, epraemonstraris, reflectioni proprium cst. ergo liquet pro-
politum.
2. Ita quidem in hoc casu; ac si punctum A ponatur alias, Ut SE
AC = = AN; reliquis ctanribus, Sumendum erit interrallum AN
== a: ACg. J. Vg: ut sic ANg - AC g = Vg. ue posthac
constabie, ubi de concaris agemus. Alicer hoc idem: Fiat2C R.
CB:: C B. F. _2C A. C B:: C B. F. Sumaturque C  -F
F. _ dusta N ad AC perpendicularis circulum secet in N.
COnexX A N, YN altera alterius rettexa erir. hoc c supra dictis
lignido consectatur. AF SI FErIE A NC AC; tum accipi debet
CO =F = P; Sc (reliquis nihil immutaris, uti postmodum appa-
rebic) factum erit.
IV. Inera casus hos Problema, ceu videris, Facile construitur,
actillos; aliosque speciales, si qui sunt, excipiendo, generaliter con-
ceptum omnino. Solidum est, et certe suourzavor; vix ut aliud à
Geometris hactenus atrentatum difficilius reperiatur. Ec primo qui-
dem per lineam extrui, explicarique porerit sibipeculiarem, hoc vel
adsimili modo describendam.
Connexâ C A, super diametrum C A describatur circulus AIC;
item Pemidiamerro C A describatur alter circulus AHIC. tum à C
educantur rectae quotris C. L circulum A IC secantes punctis l; ex per
A, I ductx recta circulum a HIC secent punctis H; demum per HI,
ex X rectae ducantur iplas C I decustantes punctis N. per hujulmodi
puncta quaeris delienabilia transibir linea, Problematis expoliti Po-
lutioni accommodata. Sit enim ejus, ac reflectentis circuli quaeris
interlectio N (qualium certe pro reflectentis circuli maonitudine sub.
inde quatuor, aliquandotres, modo binx tantum erunt) ee connecta.
tur A NI. FE quoniam ansulus C I. A in Semicirculo rectus est, erie
recta A HI Bilecta in I. adeoquetriangula ANVI, EINI libimet xqua-
lia prOrsuS _C aequiangala erunt; e speciatim ang. LN A = ang.
THI R. unde Patet propOlitum.
V. Verum quontam Cul pridemt duoun) nuso conte l.
Ones, et(i lonse Faciliores iis quae per vulso receptas lineas perasuntur,
_ Problemarum nacuram magis in propatulo collocantes à Geometris
nihilo-
F18. 89.
F18. 90.