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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 52, page id 797435492:0088
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L F. C X. VIIs
distinctius extibet obruenri. quod erat propositum ostendere. Et
hraec guidem ad locum imasinis dererminanduri actinentia pleraque
propter oculum in axe licum suffecerit artigisse. Superest uc idem
Ocum sana necus comenn Perrenremus. Id operis sequenti depu-
TaIUS.
E18. 70.
ta
I. (D nunc agimus, ut ab intinito quoad sensum interrallo radiantic
vuncti; e refectione circularem ad peripheriam peracta oriun-
de imaginis, oculi relrectu prxter axem liri, locum exquiramus.
quocirca primum ipla recta linea determinanda venit, in qua locus
ilte verlatur; cum iplistimum pexcile punctum est designandun. In
primi rero propoliti gratiam hoc Problema contici debet.
II. Daro circulo resectente BHP (cujus centrum C) rectaque
CB politione data; delignandus est huic parallelus radius, cujusre
Rexus per datum rranseat punctum.
III. Sidatum punctum (puta R) in ipsa C B existat, Facilime pe-
rasitur negorium. nam li centro R, interrallo KE C describarur circulus,
ipli reflectenci occurrens in HI; erit R N rellerus ducti ad C B paralle.
li; prour ex ancedictis abunde perspicuum cAt.
IV. Si dacum punctum (puta jum X) in ipsa resectenris circumte.
rencia verletur; arcustrilectione sarim extrauritur Problema. Nam
ducatur XH ad BC Parallela (qua quidlem ipta uno modo proble
mati Patistacit) _ interceptus arcus XH secerur punctis H, P, ut
(int arcus XNI, HP, PHI xequales inter le; connectanturque recta
XiI, NP. dico factum. crenim duCanEUIT C NI, XP, _ DatEF An-
suium C N X ip(I C. NP aequari; adeoque Fore X N referum ipsius
EN; quinetiam anx. NI P X aequatur angulo HIXP; proindéque
AIP ipsiXH, hoc est ipsi BC, parallela eH. iraque TaCtu.
. Verum