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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 124, page id 797435492:0200
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2
E18, 201.
L E C P. ZVTTI.
concemtricos exxoliris repraesentandis inserrire. nimirum in cas pO-
tremo, si reliquis stancibus punctum A indererminatum ponatur, ni-
hilominus hyperbolx CoC, YTY rectas F AO repexsentabunt ad
circulos, quorum semidiamerri C B ipsis AI lingulxe respectivx
lingulis xquantur, modo semper incelligatur esse C A. C R :: l. R.
id quod latis tuerit obiter admonnisse.
VTII. UE _ illud cursim innuisse luffecerit; quod sicut a conicis
sectionibus rectae lincx, ita vicilsim conicae sectiones a rectis lineis ex
justa congruos ad circulos intlectione reprxsentantur; quos utique
non arduum videtur e pramillis deducere.
IX. Ut S exinde data conica sectione circulus e recta Facile designari-
tur, ita ut conica rectam illam repexsentet ex inflectione ad istum
circulum. Nempe si a Foco C ad axem C V applicetur normalis
CF; d recta P R sectionem tangat ad F; Factoque CR. C A::
I2. I; ducatur per A recta A I ad C F. parallela; sirque C B -= AI.
tum centro C per B ducatur circulus M BHI, peractum exir nego-
rium.
X. Ex his tandem de imaginibus ad oculum ubicunque collocatum
relatis, quales illx fguras ac litus obrinene, proctirius erie judicare.
scilicer ex saltem unum (in recta per oculi, circulique retringentis
centrum trajecta. policum) commune cum absoluris punctum habene:
quoad reliqua vero respectira puncta nonnihil ab his deffectunt ad eas
partes, quas oculi litus peculiaris, e radiorum cursus exigune; id
quod Facilius sic in lingulis calibus qualirer eveniar perspicere, quam
verbis univerlim explicare. Sed enim unam rei déclaranda lubjicie-
musinstantiam. Ad oculum O retringantur ab F, _ C radii FMO
CNO; Sit autem ellipsis TZV Y rectae FC absolura imago, quam
COnMEKX F C, C C puNCtiSZ, T scCenE (ita quidem ut L lic puncti F
_ T puncti C imago absoluta) enimvero, de supradictis colligitur
punctum R supra Z versus C existere; quineciam puncti Pin recta
MO imasinem (puta ∞) ulera PZ jacere. Similiter punctiC ima-
80 (3) supra T, ultraque GY lita est. unde conjectura fer de torius
maginis eay politione, seu tigura ad ellipris m accedente, qualis
in appolita extribetur fisura; quae cerre (quanquam hrand absque
nimia molestia) juxca cheoriam supra constabilicam accurate porerie
delineari.
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