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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 303, page id 175905688X:0325
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=325
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# Lines: 54 recognised, mean confidence 0.77
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100.
Proble
1de
ex tabe
63001
2OOVOCB
acocci
etetsvac
HIFIO
neo recti
12, quip
inguli
de b
ES Ctricu
.c
(que a
idOS ctm
MC, Opu
d
e: abibus
Det 17
one allu
rop0l1
m(IC
es elo
qu
10t6
100, 1
COMMENTARLE LH LIDRAMHII.
303
L +2OO~ OTEHEAEA Per X = 4∞ 0, Per X = 15 ∞O, _ per
x  20200 non succedae, concedendum sit illam admictere nul-
lam radicem, nec veram nec fallam, quae numero exprimi queac:
Sed ommes esse irrationales: adeoque earum ralorem non aliter
quam per quancitatem linearum LMI, FN, _ FL ese expri-
mendum, de Problema, unde allata aequatio deductafuie, Soli-
dum esse.
Sed licethac alirer adhuc e quidem generalius efficere.
Uc si habeatur Aquario primae Forimula ∞ 31∞ X - 8 X F 24,
cujus inrectisandae sine radices. Ouoniam igitur ultimus termi-
nus 24 Octo admittic dirilores, qui (unt 1. 2. 3. 4, 6. 8. T2, 24:
hinc octies Forte dirisio tentanda esser antequam radicem propo-
sica Aquationis lic invenire possemus. Verum sufficie lemel vel
bis id experiri, cum cerri quidam ex inventis hisce diviloribus
seligi polline per quos sidirilio non succedat, cerri reddamur ra-
dicem esscirrationalem.
Cogicetur Aquatio allata hujus esse Formae x 3 ∞ X = Z, 4. X
= 4, 6, eadem nempe qua x3 ∞ + - a p X - L a a 4; in qua a PIO
unitate assumpta ralet 2, P 4, ec 96. Oua squatione juxta re-
sulum pa5. 85, 66, 87, ee 8.8 reloluta, inrenicurradicem quae li
tam delignariper lineam F L. Poltea exploretur quisnam ex ini-
ventis diviloribus huic linex proak accedat, uc seligantur per
compertum suet CX IPIIS PTOPIUS AMIC LINCX CONGrUETE
st t a