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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 112, page id 797435492:0180
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 ab
III. Superficiem planam media dirimentem (aquam si placet ac aerem)
repraesentet recta P,  aquae insir recta F P ad P O perpen
dicularis. FAE AMEeM F P. Z P: : H: I; exir Z P imago absoluta rectae
FP: continet illa scilicet omnes locospunctorum, qua in FP, oculo
apparentes in ipsa F P sito. verum (i ponatur oculus uspiam exrra F P
velut ad O, ei FOTA F P citra XP apparebit. transeat videlicet ali-
cujus radii F. M retractus per O, de prorrahatur OM, ut occurrat ipli
F P In R. est ergo (secundum prxemonstrata) punctum R inter Z, 8
P. icidem (eprius osten (is) puncti Pimago qua in retracto WMR,
ad oculum O relata inter R, _M cadic, veluri puta ad p. Cimiliratione
cujulris alrerius in ipsa FP accepti puneti, ceu R, imaso (cogita s)
cirra rectam XP, versus oculum, jacet. totius itaque rectae FP imago
talis est, qualem curra linea e s P refert. Quod li P Pintinite prorra-
tratur, ejus rorius imago P5s vertus asymproron OB A, ad P FParalle
lam, accedens excurrit.
WV. Delineatur autem curva Pe hoc modo. ab: O ducatue urcun-
que recta OM R secans rectam P Q in M; _ (posito ForeS =VR9
=19) SIE PFY - SgX PMcub
LgX FPg; aEque per HI ducatur HIP adl. P R
parallela, ipsi OK occurrens in e; erit e in dicta linea; nempe, (I
OM Riplius M F retractus concipiatur, eric punctum e iplius Fima-
80. eodem modo reliqua linexe P 5e puncta delignantur.
V. Ouineriam ad sumpta recta FO ad P O parallela, duct aque
C9 ad FP (vel ABO) parallela; item per X ducta X a Y ad F (
Parallela, eric quidem recta Z a Y rectae F AC imaso absoluta;
verum ejus imago ad oculum O relara cirra rectam X Y tora jacet, cam-
que curra o a y repraelentat, admodum jamjam prxscriptum puncta–
rim delineabilis. itaque compolutx lineae P F. C C, circa axem OB A
rotata, imaso Fornicem referet arcuatam. id quod experiri vos relim
valculi cylindrici aqua repleri superticiem inspectando.
VI. Ouod sirecta visibilis FC ad P O inclinata lic, cum ea conve-
niensin V; ex connectatur XV, erit rurlus X P iplins PC imago ab-
Toluta; relatam rero curra par repexsentat.
VII. Ouod Ci vicistim oculas O in aqua ponatur constitutns, e
ab inderespicintur recta P P in aere polita, tiatque rurtus P F. P X::
R. 1
F18. 182
ZVI.
F18. 182.
E18. 183.
Ei8. 184.