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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 436, page id 175905688X:0458
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436
TOTT ANNES TTUDDEAEE EPISF. I.
Duod veroulum hujus Mechodi concernie, istantus est, in in-
reniendis Tansencibus, decerminandis Maximis de Minimis, de
quibulris extremis, uc, quamris se ad alia non excenderet, im-
mensus camen dici ponet. Frenim reductis calibus Problemaris
2d Aquarionem, in quahaec lola condicio ad ejus determinatio.
nem adhuc requiritur, ut incognita quancitas (aut alia quaeris li-
cera, quae utincognita consideratur) ad duas aquales radices de
cerminetur: Porerie Ouxelicum beneticio hujus Mechodi quam
Cacillime inveniri. quippe nihil aliud opiis elt, quam x quatio-
nem dictomodo per Arithmeticam Prorressionem inulciplica.
sC: cum dua lia aequationes tunc omnes Problematis condirio.
nes sint comprehentura, ita uciplae tantum relolrendae restent.
Fenocandum est, hoc Caepe beneticio lolius productae aequationis,
nullo, aur exiguo admodum labore, praestari polle; quod patet
in omnibus illis exemplis, quae de inreniendis cansentibus pa-
oIm. 40, 4Y, e 42 a Dnodes Cartes in lua Geometrir lunt al-
laca, in quibusve sincogniex existune e yquidem cornica, sed
qua ut incognita consideratur: omnes enim illorum Problema
cum conditiones aequationibus erunt comprehenla, si illae ipsae
xquationes sic determimentur, ut dicta quanticas y duas aequales
radices obcincat.
Primum dictorum exemplorum estyy
Mulciplico permeam Mechodum per
eu 297
C y.
E
1900-955
dum exemplum CAt
 D7 ba)0b15 6066)) 666676b661bl D
+ bb ddv  c6d d
NTuIC. Per F 4, + 3, F2
123
1
bV
Clicque pioduetum
 =by5- =6 d yr-  + bC d y3.
+ 2 bb a
+2
X
F= bcC d dy -  bbscdd v0