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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 436v, page id 00068196:0868
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2
cd - C3 = C d - bd 2. se cl: c - 1 = d:  = b: c. d:c
seu scrbendo d: c = D et c : b =f fiet 9 - 1 = 99 - 99:f seu f-
seu f9 - f = f9g = 99. seu f - gre bg 4 99: g. g9 -1
i s radius seu diameter 2. cujus quadr. 4. eut
dnnidium 2, seu inscriplum cujus latus AB sit f2.
jam CD AD eseu  = cd in 2 - cd. = 2cD - cD
seu cD = 2cd +1 = 1 -  = L. Ergo 2D , - cd = s
seu CD = 1 - 82; et CD = . - 2s: + 2. se
3: 2 = 12. cui adde AD2 seu L fit 2 - s2 = AC
seu AC = 12 - s2. lurus dimidium est  r. si
estod ut probemus ad regulam annba +cc= +nn gc.
n=
si
c
252 -I2- 92 siet
_852 + 8 - +s2 =  1652 - t2
se
D12 +2C12) = 4 52 - si: seu 2 + 4 s2+ 4 -B 1b52, + 16. 16. 44 (.2 + s2) + 2 (2)) seu restat 4 = 1 + 2t
ubi n   n = 1 b = 2 C = 8 - 4 12 g fie
4. 2. 4 +  16. 4 - 4s2 +2 = ∞64 4. 2, 8- qui
seu  b  64) 64 52 + 32 = (64) - 32 s2
4. 4. 2 + 6 16 4 - 4 s2 +2 = 4. 4. 8 - + s2
e 32 + 64 - 64 52 +32 = 128 - 64 s2
pergamus: (jam AF =  S2 - 12 et EF = et PF =
1CQ Ap = AF = 1 - 2 2 +  12. seu = + = s2 et PF L (2+ s
fiet EF = 1 -  2+ Si et EF = 1 - 12 + s2 +  = +  s2
addatur ad AFZ + - 1 12, fiet  AE = 2 - (2 + 52
seu AE = 12 - 52+52. erat Ergo
probatio
B = si et AC = 52 = 12 et AE = s2 - 12+12
sit. et applicanded ad aequaoem 4nncq+ dd = 4nngd.
sit n = 2 et c = 4 8 - 42 et d = 22 - 1652+ V
1. 4. 4. 1. 4. 4.  = 4. 4. 4. 4. 4. 52 + 12 Recte
4t2 - 52+s2. vr - 12+52+2 1b2 Suntn
32 - 16 52+ si
128-6452+ S2Fo2 512 - 236 sutsitsum
Etm,  AA 22: nn +2 = enn =e: annt]. seu fier 3
2nn-L 1bnn 1 (32n = 64n - 16 enn + ex. Ergo ibnn
de seu 32 - 16 nn d +32n2-64nt 1b e nn tee seu vbenn = 1onnd + ce
4. 4. 4. 8 = 4. 4. 4. 4N + 16.6 4 - 452+52 + 2+ fr = 4. 44. 32= 4. 4. +. 16. 12 + 52
seu (4. 4. 4. D 2 - 4. 4. 4. 4 12)+ (4. 4. 4. 4) 4 (- 4. 4. 4. 4. 4 52 + 1D 44. 4. 4. D2
+. 4. 4. 4. 12)
at jam