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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 55, page id 797435492:0091
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P. P C Y. VTI.
ductx X N rebexuS (puta PIP) ipC BC parallelus erit. NTam CON
nexis X C, XL; quoniam CN = HL; d CX == l X; e anguli
ZCL, X L. C Pares lunc; erit X e = Z IV. GuaPEOPTeF erIE NP
ad XHI, vel BC Parallelus:  P. F.
IX. Fx hac constructione, cum praemissi lemmaris solutione colla-
ca dilucelcet hujusmadi non ultra quatuor rekexos per idem quodcun-
que punctum, ceu X, trantire; quorum duo ad unas aris partes inci
dentibus, reliqui ad, alteras conveniunt. adparebir etiam si C H
major lic, quam ut ci par HL recta GF, Sermicirculoque OF F
intercipipollit; quod ad axis parres; ad quas ipsum X ponitur, Om
canta sIE, uc ei par una tantum ejusmodi recta posti intercipi, quod
unicus per ipsum X redlerus irer suscipiet. cales, inquam, expoliri
problematis determinationes hane constructionem haud obscure se-
quuntur; quas cerre ru melius unomentis (haud dormicantis) ictu
perspexeris, quam ego pluribus verbis explicaro.
X. Exhinc itaque denuo rectam (Peu rectas) Patis detinirimus, in
qua (vel in quibus) puncti radiantis Imaso, respectu visus utcunque
politione dacum centrum habentis, consistit. ad ejus jum praeciliorem
locum investisandum accinsemur; in istarum recta quapiam existen-
TeM.
ZI. Huc adnotecur imprimis, quod si duorum ad caldem axis par.
res incidentium parallelorum (N P, R S) reftexi CinE W a, l0;
erit arCHS N R, vel P Sarcis es subrriplus. Concurrane enim dicti
8. 750
reblexi in Z; _c Connectatur recta R a. _ quoniam, e praemonicis,
angulus NX R duplus est anguli arcui N R ad centrum insistentis; l1B. 76.
erir idem angulus NYX R anguli N a R quadruplus. quapropter erit
an8. N XR -- ans. NV  R triplus anguli N a R, hoc est angulus
Rn anguli Na R triplus. unde quoque triplus erit arcus s ip(uS
NR: O. B. D.
XII. Tisdem stantibus dico Fore R X (obliquioris resteni partem
incidentix concursisque punctis intercepeam) majorem quadrante to-
tinsreAexiR0. Nam, ductis subrensis NR, _5, exit 1. 3::
aec. NR. n5. = recta NR. ∞s:: J X. X~ DR X. X0 (quia
scilicet est X ~ L X ∞). isitur est Xo minor tripla R X; compo-
nendoqueminor erir R o quacrupla F. X: . F. D.
alddo alltut