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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 406, page id 175906937X:0430
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=430
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# Lines: 74 recognised, mean confidence 0.83
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406
I. X hypothesi
DE CON CLHHANDES
BA AF BC AD
a -- e -- b1 2d = ∞)
FX natUTA EIIpSIS, per 27. Zui Conico.
rum Apollonii
G FAC DGHII GDAO BCK
aC CX
TI. C, rejectis communibus alticudinibus
AC, OR; _E AG, CR,
FA XII
d d
DA
y
Ecrecticucis iplarum y ec Z valor.
FA XII DA
A munum
de 
eb
CC
RII C
FiEX ∞
1d)
ce
R 1
Jam ut ex Flementis constet, quo pa
eto ratio ip(ius D A ad R B in simplicii
iniscerminis exprimi possut, cum ria il-
POrro cum ex natura
EIlipsiS DF AC (ic ad
DOKHI, Seu, propter
rectarUM AC, GR X-
QualiEaEEI, FA ad KII,
(ICUE D D AC ad
DCK B, l2. C., PrOpter
aequalicacem rectarum
AG, CK, UtD A ad HB;
e quidem ratio D Aad
KB, Compolita (IC Cx
ratione D A ad C B seu
F Aad AB, Q exratio-
ne C Bad K B Peu C A
ad LI: erit quoquera-
tioF A adK IIcompO-
lita Cx ratiOnC P A ad
AB, Q exratione C A
ad TR. Ideoque cum
ratio compolit2 CxFa-
tionoF A ad AB, E
exratione C A ad IK,
lam inveniendi mulciplicatione per cru- sit c2, quam habet
cem (quemadmodum rulgoAL) ommino DC AF ad DKI, AB:
sic Algebraica: calculum hic apponam;
E quo ipa D A _ RB relulEAnE.
BA AF BC AD
a = e - b1 ad  Eibi apparet, cum in
erie limilicer ratio 1-
PlUS F A ad KHI CA,
quam habet D C AF
adDKI, AB.
CA IK BC KB, utraque hac proportionis regula idem ter-
C- f - b, 995 minus B C iplis AD _ IE B pracedat, quod
c
ratio ip(iuS AD ad RB, per hujus BC in-
LA AB cerpolicionem, sIE COmpOLICA CX FatiOnC AD
e nnu a
ad B C. Ccu F A ad AB, hoc elt, e ad a, _x Cx
CA IK ratione B C 3d K B seu C A ad TK, hoc Cst.
23.6.6-f
cadf. Ac proinde, cum ratio ex his compo-
DCAE DKI, AB Cita, Per 23. 6, SiE eadem rationi, quam habet
seas DCAF ad DAI, AB, scuc e ad a f: eric quo-
qu