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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)
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 aunen 
XIV. Exhinc Euclidis, Alhazeni, communisque ferme sententis
convellitur, quae rectae B A rectam BR, intinicae que B S iplam B I.
imasines llatuit; proindéque corruun omnia, qua principio super-
extruune ilti graris adsumpro, rationique dissentaneo. Veruntamen
Opricorum novissimus seripior, erudicissimusque vir, vecerum ipse velti. Hon. Fabri
siis insistens portularum istud ab experiencia Ctabilicum vulc, ejusque
veritatem Pele depraedicar centies explorasse; doctrinam itaque no-
stram invicto sensusrestimonio retutarie. acqui repono, non poruisse
illum quantumris oculatum _ lagacem quod obrendit vel semel ex
plorare nec hoc in calu porerit doctrina nostra rentari, nedum re-
telli. nam (prxterquam quod perpendicularis C B A litum exacte
dienolcere perquam arduum, Forlan impossibile tueric) quum lineola
Bass infinitam, juxtanos, lineam rectam B S repralencet, ipsum-
que punctumo (intinite distico puncto, S respondens, atque rectam
DH BisecanS) a puncto L modice dicter, qua amabo visus acies
curra B a5 2 recta BL dellectionem cernat? itaque Frustra elle vide-
cux acurissimus rir, ad teltem provocans hac in parte minus com-
Petentem, deque cujus sententia rix allatenus constare possit. Sanc
quoadattinem in Dioprricis casum; quem actisimus supra, demisso in
aquam perpendiculo, oculo simplicirer inspectanti, videbitur ejus ima-
sonihil quicquam a perpendiculari declinans; verum ope reflectionis
jultum perpendicularis litum obserrando (qui nudo scilicet obturu
plane dijudicari nequit) nocorie deprehenditur aquae immersi perpen-
diculi imago ab ipso deriare. neque dubiro quin pariter in praelente
casu rite consulta experientia pronobis sic pronunciatura. Ouinimo
nostris ez ettaris (luculenta opinor ratione luftultis) apparebit, unde
principium illud multis in calibus experientiae videatur consentire;
quonium nempe concinsit, ue in iis a vero non multum abscedat:
ejusque proinde Fallitarem Pensus (niliratione, vel certiore lenlu adju
TuS) perspicere nequeat. ast exorbito.
XV. Sit rursuIS SpCCAIUM COnCAVUM BMD; Cujus centruM C, _
per C extendatur infinita recta C BL, biseceturque semidiameter Li8. 287.
CBInZ; ac in Z B sumpris quibuscunque punctio A, R; Fiat C A.
AB:: C X. XB; itérnque CR. RB:: CY. YB; erit quidem infi-
nita BI. cocius BZ imaco ablolura, ec portio Y X Portionis R A,
verum extra axem BC ulxiam consticuro visu, velue ad O, ad hunc
relatae ipsius Z B, ejusque parrium imasines ita detCrMInARTII.
5
2VI.