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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 117, page id 797435492:0355
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L. E C T. ZII.
ADLR. item PaFet soementum A D B una cum rect angulo ADZ R
majus esse freura circumscripta (etenim rectanentum A DZ R rectan-
gulis RHI, PCi, OF, N F, M Z. aegnatur, proindéque majus est rrili-
nis A XR, XZP, XXO, XXN, XB M). ergo scementum ADB FIZ. 176,
unacum rectanenlo ADL. K mulco majus est Rgura circumsoripta;
hoc est, spatium Smajus eA figura circumscriptâ, contra Lypothesin.
VII. Irem, Si Ponatur ficura inscripta IIXCXEZEXZDHI minor
spario quodam S; dico sermentum A D B non esse majus quam S.
Nam (i majus esse relis, elto rurum excessus par rectangnlo ADLR.
quod ucique (licur prius) majus erit rectangnio ADZR. F. A autem
leementum A. D B, dempro rectanento ADZ K. minus Ecur a inscripea.
ergoscomentum A D B, dempro rectangulo ADLR, multo minus AE
inscripta figura; hoc cM spatium Sminus est inscripea figura, conra
Hypothesin.
VIII. Tlinc, si spatium quodcunque fuerit, (puta 5) cui circum seripta
tigura xquetur fignrae ADBMNOPRA; nec non cui insoripta ficura
aquetur ficura LI C FP. Z. D H; Palam eA spacium ictud S scemento
AO B exaequari.
Ntam (uei mox ostentum) hoc illo majus esse nequie, aut mi-
nUS.
Pocerunt antem lxC ad alios circumscriptionis aC inscriptionis idubs
accomodari: Sufecerir innuisse
Conicorum Superjcles dimetiendi Methodus.
CUc curva qua pla AL B, Cusus Avis AD, e in hoc signatum fit 
. punctum C; ad ipsum rero ordinata recta BD. a puncto quo.  s 118
piam M in curra Curapro ducacur recta M F curvam tangens, e a C.
dermittatur CC ad M F. perpendicularis; sic item decerminata recta.
CV ad planam D A B recta, e connectatur V C, (erit V C ip AIMC
perpendicularis; nam si ducatur C HI ad OM parallela, liquet C II..
PlanoC V Crectam esse, adeoque CM eidem recta eric) P’orro (IE
linca RScalis, ut ductâ rect a M IZ ad A D parallela (quae SCCCE Ox-
dinatam.