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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 102, page id 797435492:0338
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# Lines: 63 recognised, mean confidence 0.77
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L P. C Y. XI.
Notandum elt ese p 2 m - 2n 
n ni
ore 
D
dEn
Z D i
AD2n-m
ZC m
AC2n-
2
L. i eisip. L. M. H = 2 ; _ M = 3; erit p-
P3
AD9 BV
Ttem AD = C A.
2. dit n = 3; _ n = 4; exit p
1
ZL
e 92m - 2.
LI
ED
D2n - in est mi-
2D
AD BB
BDC
AV+ d
 Vel p
AD= BD= IIEM AD = 2C A.
. Sic h = 5, d m. = 8; eric.
18.1
D8
ADZ vel
IIem A D = E C A.
ZD+
Ouoniam in tS Gocometriem acrisi, quid si obiter eo spectantia
Theoremata, qua ad manum, paucula subjunrero? Prxsternatur au.
tem auter hOC XaDONIKOV:
Sic curra quaepiam AC B, cujus axis AD, C ad hunc ordinata
rectae BD, C F; Htabebit curra AB ad curram A. C majorem rari-
onem quam recta B D ad recFAM C: F.
Cam ducatur recta G, HI ad A D parallela: secenturque recta BFI
punctis T, e recta C P. punctis L in particulas indetinite multas; per-
que puncta Z, Z. ducantur rectae Y M, Y HI, ZO, Z P ad A D paral-
lelae: curram intersecantes punctis M, HI, O, P; per quae ducantur
rectae MR, NYS, OT, PV ad BD parablela. FAtque anguluSBM Y
Cuc c superius octenlis liguet) minor angulo N CS, unde MB. BY
C ON. NIS. Similique de causa eAt N M. MRL ON. 1IS. +
quare conjuncte est B M - s M PI. I NC. BY -+ MR - s NSE
GHI. HIS; hoc estarc. G B. BHIL GNI. NS. rursUS (C diseur-
Su consimili) ratio O N ad N S major est Cinsulis rationibus OC ad
GZ, D P ad P T, _ A P ad P V; idcircoq; juncte est CN. ASE
ArC. AC. Ct. Quapropter erit GB. BLIC AC. GP. permutan
doque CB. AO F BH. C F. quare componendo eAt AB. AC
-BD. C F
 e YdE
ECm
218. 149.
E15. 250.
Vid. appena.
Lect. d II.
ab.
dide post. 96
Piris.n