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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 143v, page id 00068201:0286
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+ p. Y 4 aq V 4 ar 0
PV tact
y (- p y) + aqu - ary 2
+ - pt u. +p.. - pary
+ac.. - acp. + acaque. - acaY
faciamus.  e paq erit etia quartus teminus p0
acpi paq- aer
in = ar-
pessit esse qumntitas affirmativa,
Jam ut ut sit age pt. +an paae Mn:
P-p tar (pagf. sivc
Jum necesse est, ut ut termini quti nitii pars quinta quadrata aequetur
parti Stae Ormini quinti nempe C
est antem D1) . p ar + ar paque 2aq (sive -p at + arque paque
aq
O7 aq - p + aer = paque (aqp p +ar (paque
1
et C si H P- rar p  aer
25 p2
Sp
P
-p’ at + arg- paque
6D.
sive pl  arp + ar 15, C P at  parue - p a qu
Pocumus g. abesse in aequatione data, et  atque Y signi esse contrani
erit Lep ta et P e fiet: P ++ arp + a  - arp.
et sivep
si pare fiet: sed sine his, s ar + 3ap Y + 9d e dP - +
et YF = 3 p + p3
2 a
hic r fl . 3 + 15 p
debet 22. u
242
L
292 RV iP esse quatitas affirmativa,
quod vero verum est
Nota; si abtit 9 et aequatio sit m cubua data sit intractabilis, debet esse
Scribi RF -r pro signo aequationis quantitatis ultimae, quia signa terminorum
secundi et ultimi rebent esse contraria, et fiet R ( +3+ 15 p3.
et debet Y A R
P P, sive 3 f 5
24
24
-p esse quantitas affirmativa
quod vero contingit ponendo + B +. quibus positis conspirant omnia ad absolutionem
problematis. Quemadmodum hoc quoque evenit, ut si modo p. sit integer sit
utiu major untate, sit uti vel cata binant tabe sit aequatio: y pus + ac po
impossibilis itaque radix quae invenietur, non poterit ipsi imputari. Ut jam videamus
possit praescriptus haben valir ipsiu R. Utarum aequatione illa uno termino Carende, unom habente
arbitraricum, ex data facta, quae ita stabit: COZ, -48 +3bm- 12m Cd
(3 = 1X = 12. Bo
Sed. hec paulio difficilior tractatus Malim ego sic procedi.
faciendo CB  V+ d fei V + 3dv + 3 Y
= 49.
+36m
12m
15, + 1a 4 - 96 m  124
Rrectius explicabimus: pso et adeq
245d
g6 M
ino
mam
+homd
-12n
1 l2m3
seperest