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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 94, page id 797435492:0150
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E. B C Y. ZTII.
unde Problematis constructio, seu puncti Z dererminatio habetur
Z ZVI. Subrectam _ ab amico communicaram (alia methodo
revertam ab ipso, concinnéque demonstratam) constructionem:
Duc NR incidenti AN perpendicularem, e secanrem axm in R.
FaCNP. N ∞:: N R. T. duc N O retracto NK perpendicularem,
_ aequalem ipsi T; denigue jungatur C; haec producta lecabie
NRinFoco quae (ItOZ.
ZZVII. Elujusmodi rero punctum Z esse locum ipsissimum ima
sinis puncti A, oculo apparentis in ipsa N a constituto, Eaepiiis expo-
liex rationes manifestanE.
XXVIII. Rccendenti porro constabic, siquidem fuerit FDTC ad ML
ratio xqualicatis, quod punctum Z infinito a puncto C, vel N inter-
vallo diltabit; seu proximi radio N e refracti ips I a parallelierunt;
En rario NI C ad M sic majoris inxqualitatis, quod punetum L exister
intra C3, vel in N C antrorsum protracta; verum denuo si NC = IM,
quod punctum Z supra N, vel in NO retro tractâ verlatur. HlaC
Tuftecerit innuisse. Iinc etiam postica circuli partis illuminatae quan-
ciras urcunque possic determinari. Sed ad locum Solidum res spectat,
ipsamque proinde miltam Facio.
XXIX. Inseremus autem hic Phanomeni cujuldam Patis obrii, quod
que nonnullis Forlan (aepore communibus Optica decretis apparenter
adversum) mirabile videatur, explicationem. Sit lucidi puncti a
(modice distantis, s rivide radios ejaculantis) ad arcum circularem
MBN (ab axc A B bilectum) imaso, scufocusZ; e per Z, ad iplam
AZ perpendicularis tradueta concipiatur linea L Y. porro, delu-
matur aliud punctum remorius F; liquet ejus imasinem cirra punctum
L (centrum versuS) jacere; ductis itaque rectis FM, FN, harum
retracti adhuc altius se intersecant, puta ad R; productaque MR,
N R lineam XY secent punctis O, P. Quineriam ulterius accipiatur
DUNCtu F; dUCFarEIMquE RECTATuI F M, FN retracti sint MI L, N L;
tineae XY occurrentes ad puneta R, S; quibus peractis maniteltum elt
interrallum RSipsoO P majusesse. Ilinc Facilis habetur ratio, cur
punctum lucidum (velut ardens lucerna, vel Imaso Solis ad Speculum
aut lentem diaphanam effecta, (quin ee Cellae fXX) quae propter exi-
Suitatem suam apparentem punctorum ad inctar haberi possunt) quo
a distinctx risionis soco loneius amoretur, co (contra quam in aliis
risibi-
F18. 147.
TU NTuM. 25.
E19. 148.