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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 417r, page id 00068196:0829
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sit
bd
+ Ed = C+ C d quae a me reta reperta
quadralor embituum
vel sectori.
est relatio polygonorum inscriptorum circulis
respectu
b, c d
posito sequentem esse numeri laberum dupli praecede ntuse
quaritur relatio inter b et C eadem quae inter C et d.
sit
16
1618
25 26, 2728
betro-b  el 40. b 4 b ac 4. C + ee t b c +bC et
e
16
2526 27126
Eigo similiter 0- B5C+ 7C ecc + 6d +3d. et +5bC d + 78c d et
e
17
18
multiplicetur utraque per frmulam arbitrariam addantur
in se invicem comparantur datae giam performutam
cubitrariam multiplicatae. Generaliter et compendio
sic fiet data aequalio b d +C d = C3- cdE =0
BL + CM + BNC = 0 ta eodem modus CL + DM + CND =6
(ubi nota librus B. in BL, non esse Lia B divellendum, et ita in caeters)
multiplicetur aequ. 1 per B2 + C2 + D, + BTC
BL + CL + BLC = 6 et Cs BL + CM + BN C = 0 et CL+ DM + CVd
C
 non
quantitates, sed notas modi tractandi .
Multiplicetur jam ag. 1. per B4+ C4 + B + B4C+ B4d + C+d + BCD4
seu per formulam 4. Inde siet aeg. 4. Similiter per aliam formula
similem  ubi tantum (5 pro 4) multiplicetur substituendo 5 pro4)
Csrullem formulae 4
milliplicetur 0g. 2, fiet aeg. 6. denique per aliam formutam
similem formulae 4, substituendo 7 pro F mulliplicetur ag. 3.
habebitur ae g. g. addanta aequationes 6 et 8. composita
comparanda aequationi  ut ita inveniatur 8g. 2, vel 3.
sed hac methodo non invenietur relatio tant extrua
nana transcendens seu indefiniti gradus. Se si des solvi
pt. semper solvetur,  ut potentiae per solos numeros deter
minatus inveriantur. Igitur necesse est cote
esse aquationem ut B ingrediatur in exponentem
lipsius A vel contra
sit igitur ec
 p B6C +7B+9C + C
sit igitur B
= C et D = 5C6d17 49D + C
sit n numerus latem ipsius et anno et qquadratu–diametri
et 4nng = h, fiet hb + cc = hC
fnsi potius B  BB(BC+ 5B + 7B) = C et D = C Te+ SC +7 C. seu D=
seu DC et B teF, V+7B repertisum valores ipsius Cat ipsius d, per Bsolam substetuantur
B(2 er , B 1208 + D + B
n aequave
602+ cd=C2+ cdd