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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 3
# Folio 32v, page id 00068000:0064
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sit s = dED. H et l y - β = SsE :ll, fint ss:, V - β3 = cBB: I = 1 + β, mm + rr : 
Rursus s - A nV: H _ At V + B = AN n A: I et s5:, ) + β = p rV: l = 7 - β, mm + rr
V = SdG + B I: I1 = 2X M = Bl. fint 2 βIl = + n - ddE H
U, EBB = AN, mm LrY U1 nVr = dSE. mm+ Vr denique dEB = A p
l, E0b: AM = U prr : SE fint SSEEDB = XAnurr, seu SCD = X V. ut patet
r = 26dE + 2 Bll + (3, i
M = AN  - ddE +13,: U
co, M, Y puim inter se
co= fgh. l  r + m = +(d, seu r = 2ffg. + mI,.
V = M, retmm = glih siet 2Atg 4 EUm, rrtmm = 4ghh seu funt
a et
 A sit
249 +. EUm, 4  ifgg L a ffgmil + um = a gha, ego gin quia
m sunt poium inter se non potest m, dadi per g ergo g = l et fit (F5 + 2 m, (4 f (afsim falum
fet 3 pricui inter se, et a m
fiet h = BVS  et B um = B(3). I fint
deberet htr dividi posse per fir
2f  fflm + iimm YSsl
et Am = A L (3e): l fiit 2f t LIs( (+ l +  + lf +  + alff BBY - 813)5d
 In
2HF (- I13) (lH (3) (+ UF3) a) F d (5 (33)  (29, 55. Eg. f posset duidi per 6)
fiet B f et h sunt primi inter be Erupo et 5, Y et S,
sed fer n, adioq f et Y sud prini ader s, lugo V= , et fit, 25 4 +.   + 3 f ( = lldd
r= 2A = H + ββ et Y = s5+ BB in = diff. inter hoc conta
Et M = disterenliae quadrulor f et B
- 5 + + f 1 +65 p + Eft ( +  sen r m = 8f pB + gff B = loco
= n = - f +4se BB - 6 fa (s + affβ
itaque posito un = s
iter a 2et +2p = cocd: 4f) BB
Et ditur f.  5-
4
3 Eugo si  4E = quadrato
necesse est ut detur f + B= dimidio quadrato, est actum har posterius minus priore
cu et  to qudrato
si datur du duptam quadratum differentia, quad biquadculorm, datur minus liquadrate
dimidum quadratur summa si datur summa quadbiquadrulo aequalis quadinto
datur differentia biquadrulorm aequalis duplo quadrato, et summa biquadralorm
aequalis dimndro quadrato inio et duplo
X =  bZ - y2 13. 1
et y = qu v: c0  4: 1) L 2. 3,ta b = 13 C23 X = 13 Z -1 y = 4 v =  Co -1
A- 3g X = 13abilit y  16. 11.
Y a un bc = 13. 3
3 = 16 - 13, = 4 + 113, 4- Y13
b7 = 16 -9. = 4. +3, 4-3
v6, coco  C + e
V p c00o Vb
v - c0c 1b = B 1- 5
vrp ctb v F cocol. AX
coco
(bc +. C) = cono Yb = d . (V0 +) c = 99 + 2gcocodb
19. 16 + 1
Ex his
sed in C pro Y et β ponatur valores 2) = r - 1 et 2β = m- 1 et fiet
2EDD_ = Y+ M = 2, mm+r et 2 a V Y = Y - m, mm + YY
( E EPB() = MaH, matm U, uV = SSE, mm+rY
eleoco = X= v- m. = rr+mm rr mm
Coco= rremme, rr- umA
-3 3= bc
133
B
AB Cd + : Cod F C
10b
2P0c0 0
P qucd + bc = on
beore
bcoco + E  V
bco +C
c m. 99
cidio
Cdco, cou
coc
er
alcae
co
edt  vn
aco H.  v
a = 600 - bbco = v rb + bac, vob- B aco
V = H(bcorC) su Abbc + a) = v et sit
 fit a = s(b co + a) + bcon, tibl c 7 a) - b cc