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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 5
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Exccrpta eliteris fuis ann. 9b.)
folgandar Calculus lorcif in din Methodos Diophanteas sinainus satta
abere ondit großten uum in unferere Geometria altiore. Ersabit ab fei
00 + ab DDC1)
e
L X
a Xx, et e m n
a X
in (
dex
ex
act ex + ZXC;
DC3
g+
CX
Dolha valores num ouit danaeg9. 2,3, 4,
substituiret in der aequ. 1, 5o hoint aequ. 5) Wonlcha du identica su r
I 93
gen, odeo norvelihar dia termini lateris unius seu valoris a C∞ + ab DD
mil den terminis respondentibus dec ouidern lateris seuvaloris, ipsius
e su compariras, e mit subia dinser comparatione, dia valones litera-
cum quaesitaram c, e, f, 9, h, K, m, n, susuche ptrenibiis supponire, doist
a V. b allen datae; dor dan mihto noch hufrargen, obdia valores
Erans
rationalet odaa irrationales feun, worumto fonst in methodo cho-
phantea uis bectumeet.in
Sinant voet oiuf nene)
(In emum auderen brieffe Woae folgandes. überphiteten calcalum.
Wor ourge calculam balomet, so kromt es danont oin, daß ope
aequationum comparatitiarum, ob X X, X, X ouis 5. litera onfundam
3
2
neerdem von danam assumtitis e, e, f, g, h, K, m n; darous hu fehan,
dast devnn 3. ubreius, so indeterminat beniber, _. selest pro artitrio
comode zu determinire. Nun m et n find branite depechiret, die-
Weil i habe valorem m:n, V. valorem mn, positis reliquis; od
meire coumo bius valoribus iptorum m et nt losdan; haben suvruu
vin asl Diud alio dormit duae aequationes comparatitiae depechirat,
V. Elniben noch 3. Zu solvirn; vus so wielei honc mour 3. der bnosem-
sn wchlarii ich folte fast wnhle:
C1)
3Yp=25d, odrae 3, aef +bhk
(2)
2, aff bkk, 2aef. + ale + 2bgR + bhh.
35f = 205, odeae 3; aec + bhg = 2, acc tbgg, 2acftael +2bgR + bhh.
VE = 4(8, oder aef +bhl, aec +bhus = 4, aH +blK, accu t bgg;
a
c
31
anum aequ. 3. it jartitiaria per se; und aeg. 1. et 2 sunt juttitiariae, si simut
AI
sumantur. it sulffe dar 3. aequatione konten glanbis Zuforderst
e und h gesuchet Wereden; dan darmmen observiret mone oibermali
gattitiam, dan dia fei den villein haben ema praeferentus Hos dan ou
dara incognitio; alo welche amt den nuttal; jor findet sis auch, daßt
sin om wnnigsten stergen, nnmblus min an dan quadratum, dor
fonst fik; item C, 4, ad eubum nomen. Wam man nun der litera-
um e und h valores sort, _. Solcha out den latitar aequation wnu-
gabtticht, olnibt nina aquatio ultima, so simuliis soch segn und,
s
darinu ind ltera
fik, item g, Walcha die sattit obtervire, unosa
H. Sioone oux einm doppalta wenise; unmrblius win is c weusalt
re