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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 56, page id 797435492:0092
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F18. 77.
R. E C T.
 
X7IT Trem, dico Fore NYX Crectioris icidem reflexi concursis
incidentix que punetis interjectari partem) minorem quarta parte
Eocius N ∞. Frenim Hac ans. HIR  = arg. N _ R; Quaproprer
exit HIR = FI∞; adeoque 2HI a ==HIR 1 H~C R~C i0.
icem quoniam ans. R HI N = 2 ang. IIR ∞ = ang. Z RHI; eA
XHI = XK L X N. quum itaque siE HI  major semisse corins N ∞
_ X HI major semisse relidui NH; lignet toram X a majorem esse
cripla ZN; scu eoram N e majorem esse quadruplâ N Z: Q. P. D.
ZIV. Elinc perspicuum est, s Tuerit N Z reAexi N ~ quadrans,
quod nullus alter hujusmodi refexus punctum Z permeabit. Frenim
alterius cujusris refterus permeare dicatur; crit igicur, li obliquior
istuerit, N Z = ZN ∞; In rectior fuerit, crit N Z= ZN a (ni
mirum c proxime demonstratis haec conseguuntur) qux repugnant
hypocheli.
XV. Ouinetiam ip(1 N a propiiis adjacentium occurlus puncto Z vi-
ciniores sunt, hinc inde. Secent inquam, radiorum L M, R S reflexi
L u, R0 iplam N e punctis Y, X; iltx quidem (rectior) in Y, hic
Copliguior) in X, erit Z Y:  ZX. Nam connectantur R a
 ∞: _c hac ang. ∞L. HI = ang. N _ L; ducancurque rectxe RHI,
RY. eAque RHE L HI =H~, adeoque ang. H ~RC ang.
HRD; d proindeang. NHR = 12 ang. HIDR. itEM YRE YI
=YH; proindéque rurtus ang. NVY R = 12 ang. YHIR. quare
mulco minor est ang. NI Y R guadruplo N ~ R cst autem ang. N XR
quadruplus anguli N ∞K; isitur ang. NI ZRC ang. NY R. POna-
cur jam, Piheri porest, punctum Z ipsisY, Z interjacere. erit igitur
angulus externUS NVY R internO NX Rmajor, acqui minor octensus
CA. guX repugNanE. itaque poriiis eAtZ Y ~ Z X: CL. F. D.
Ad alteras parres haud absimilis erir discursus; parco Fastidiolx re
pecicioni. 11
ZVI. Hlinc obiter paret ad easdem partes incidentium rehlexossete
prius (velut ad e) quam iplum N s decuctare.
XVII. Ominimo rurtus hinc constat ad caldem aris partes plures
duobus in uno puncto reAexOSNON COnCUETETE.
edec acatma canaa la ac aclito depau
dicti