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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 105, page id 797435492:0339
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LECT. ZII.
N suscepto nesorio progredimur; quod uc (quarenus licer) decurre. Praparatie
mus, verbilque parcamus; obserretur, in sequentitus ubique line. Communis.
am A B curuam esse (quales rractamus) quampiam; cujus Axis AD.
huic applicatas omnes rectas BD, C A, M F, HYO perpendiculares;
SE ML, NS, CB parallelas esse; punctum M libere sumi; arcum
MN indetinire parrum esse, rectam a 6 CUEVX V B, a H CUrYX A M,
HrarCNi M HI aequales esse; ad rectam a C applicaras ci perpendicu-
lares esse. His praectratis,
Y. SitM P currX A B perpendicularis, _ lincx RZL, aes Fa- Fig, 156,
les, ut F Z. ipLIM P, _C i P ipSIM P aequentur; erit spatium abs ipsi
AD L K aequale.
NaM TrEanCHLAMI R NI, P F M similia Tunt, adeoque MH. N R
S5P M. MF. unde MI BI X NI E = NTR XP M, hoc est (substituris
aequalibus) TV XB P = FG X FZ; Peu rectang. HD = rectang. PH;
spatium vero ac s minime differe abs indetinire multis rectangulis,
qualia ud, ec sparium AD L R coridem rectangulis, qualia PLI, X-
quiraler. unde liquet Provositum.
II. HinC, (ICUEVa A M B circaaXeM A D rOretuT, habebit le pro-
157.
ducta superficies ad spatium AD LK, ut C ircum ferentia circuli ad ra- Fig. 256.
dium; unde noro spario A D L K cognolcerur dicta superficies. C OR.
sequenrix racionem jam arcea pridem altignarimus.
TIT. Fxhinc Sphaerae, Spharoidis urriusque, Conoidumque superficies
dimensionem accipiunt; nam (I A D Cu conicae lectionis, a qua iltae
tioure oriuntur, axis; linea R Z I semper aliqua conicarum existet,
haud difficili nesorio dererminabilis. Hoc supsero cantum, quoniam
nunc crulgatum habeEUF.
a ta atcut