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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 95, page id 797435492:0151
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vilibilibus obrenic) majus apparet. Iam si arcus MI N B oculi su. F18. 140
perticiem repraesentet, (pupilli amplitudini respondentem) linea Z Y
tundum oculi, A locum distinctx risionis, ejusmodi lucens ad A pO-
sirum Paris anouctum circa Z spacium illustrabit; ad F vero consticu-
cum, ralide radios vibrans, eorum coruscatione sur spatium OP
afticiet; ad P denique collocatum adhuc majus interrallum RS per-
cellet, indéque grandiorem sui speciem extribebit. In placidle rero
lucem remittentibus aliter se habet, quoniam pauciores, ec langui-
dius assentes qui extremis O, P vel H, S allabuntur radii nullam sui
perceptionem excitant.
Fo lubentius hanc, adeo perspicuam, hujusmodi Phaenomercor altig.
namus rationem, quoniam in eorum reddendis causis ica ritubat magnus
ille Galilans, nescio quos, ex retractionibus, relectionibusre quibusdam
commenticiis oriundos, alciritios luggerens cincinnos. (
XZX. Ouin hic tandem Dioptricam simplicem circularem claude-
mus, quam urcunque quam paucissimis ita complexi Cmus, uE pex-
cipua Taltem (quae videbantur) ee noratu digniora perctrinrerimus.
Prins aurem Catopericam circularem; nec non utramque, tam Di-
opericam quam C’acoptricam, planam, quantum insticuto nosero visum
est coneruere, pertractarimus. quibus pertuncto mihi propolitum
aliquando tuie ad curras alias, conicas praesertim sectiones, haud dissi-
mili methodo perrentandas cogirationem extendere. Sed enim, cum
in his tricis Geometricis eriamnum Patis TuPErque COMMOTaTUS CIm,
d praeter ea gux circa conicas sectiones a nobis pridem insinuata (UNE
(quae _ ab aliis luculente tractata prostane) reliqua non ita magnum
ulum spondeant; contentus halce primarias, in ulu maxime poliras,
ec ului praelertim accommodaras superticies, ultra paullo quam tracte-
nus arrentatum aue peractum scirem, excultille; exeteras ommino
milsas Faciam.
XBMI. POrrO, quoad inflectiones istas, quos pluribus successiré
dlanis, aut Sphaericis Superticiebus, urcunque constitutis aut composiris,
incidentes lubeune radii; gux conveniunt illis Sympromata, postunt ea
de praemissis elici; quorum certe praecipuum est, quod apparentis
puncti locum respieie ab inblectionibus ad ictas superticies Factis resul
tantem; in hoc enim indasando, determinandoque pocilsimum hx
dilquisitiones verlantur. Hlunc igitur lalcem detinitum exhribebimus,
idque latis commode, ex uno quodam Theoremare, seu regula gene,
rali: cui exempla quaedam, communis usus in grariam selecta, eorum.
que qui in haec inciderie minuendo labori praesertim comparata, Tubjun-
Remmus Ia vero, ne jam rxedio simis, sequenri reserramns.
Lecto