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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
# Folio 43v, page id 00068207:0084
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resstectu f; g, K, so muß ins f verehoilte resu C; K, g, B. wider mnb wau
monc fingire neoete b = a (ob es pchon nicht ist), so musten c V. f ste
tera gindL respective, ralitet uno eccimino alculi dinuat, o zu
n
i considerationem partitia vel homaeoptoteos uubjeris finda, oudareu
mitze zu gephreeigen. Wniten aber die latrta aequation mir num mio-
gnitam encordant, . doch 4 artitririas hat, so sommon dat übeige
pro arbitrio, doch mit Wortheil aunhmen, die aequationem dadurf iu
deprimiru, . nim von den literis also zu erlonigen, duß alzo allem
eina geruige gepsehe. Besder worre es nnum monc ein banr von den
arbitraris c,F, 9, K, in antecessum mit untiu determinim sonta,
mub dadurg den calculum attiorem zu praecavire. Dilso stunda zu un-
terge, ob mora niht mit nuteen atsumiren sonta 2, aff L bKK
aeftbhk; et 2, acc + bgg= aec +bhg. dau per 4. et S. invicem
q
ductas redit equ. 3. daher ob es phonscheinat, orlo ob wir Guer tamtio-
nes gatsom, ist ab doch reapte nere nine, dan die ondeva folget per aeg. 3.
von sis falhtau; v. elnibs abro dia jasrit; V. aus aeg. 1. Meind per 4
nutstehan: 3, aef + bhk 4, eacf+ aee + 2bgk + bhK. V. vut dea
67
aeq. 2. mind per 5. anttase: 3, aec tbhy= 4, 2acf +aee + 2bgK + bhh.
e
duroms gedrd p 6. et 7. Wirdan: aeftbhk aec +bgk. _. Colus-
eus p 4,5, 8, meraed: aff. +bRK = acc +b9g. Stat al diast ni
(0)
Beyn supposition große depressiones gamacht, aum ne n inist
p(10)
dndunt zu latz. in incomota uallu. m mered dadunqu= n,
telies non fsuntiis. Aeat mon atso simplicissimat aequates 6, 8, et 9,
quae sufficiunt quaerito absolvendo, si modo sic licet. Ex aeq. 8. haberi
potett valor iptins e, vel ipsino h; eligatur h; fiet A
esa cf. bk-9.
Hic valor ipsins h m aeg. I1. subitituatur in aeg. 4, et fiit: eC2)
aff.+
bKK, R = 9,: a CK fg. Unde ex lege justitire pari jure absqucaleulo
l15
previdemut fore R
deat ex aej. I1. per 12. Hos vatores e et h, ex 12. et 13. habitituanius m
atterutia aequ. 6. vel 7: eligamus 6; et evolutionitus factis, opontet
destuu qua cunque impediunt jurtitiam, et prodibit aequatio (14), in qua
aC, f; b, g,R sibi respondebunt, gutim et c ipti f, et g ipti K; amdm
talis jurtitia duplicata etiam obsirvatur m aequ. 9.
Jam hademus
duas retionas aequaves nempo g. et 14, in quibus extant literre C, 9, F, L
quarum ope si inveniamus valoum unius literae, velati L, per iptas
C,g, f; et ejus ope tollamus K. ex atteratia aequave, prodibit seqg. (5.) in
qua extabunt solum c, g, f. Ubi alterutia ex iptio c vel gl videtur
catue