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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4
# Folio 45r, page id 00068049:0089
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1B. Hujus carvrdimensio pendec ex curonta ipsers
sit quadrans AB LM A; cujus
altitudo seu radius ex tremus aB
dividatur visecetur in C et AC in D
et CB in E, et ita porro. similiter
quadrans AL in M, et AMiiN
et ML in p et C. per puncta
divisionis radii vucantur nonmales
ad radium, per puncta divisconis
quadrantis ducantur parallela
ad ratium punotum intersectionis 
erit in curva quadam cujus natura quaritur
 et AL, C
sit ADX et DH y. et AB, 4
jam AN arcu datur per calculum ineum ex DH
sinn Nam _ si BF sit Z erit arcus apa
arcus aSdZ: TAr- ZZ. seu et quia
rr - Z7 = yy et  seu Z= Grr. yy, et
dz = - y dy: frr-9y et arcupse dz: Vrr. Z
= - dy: Trr.gy. adeoque arcus LXsdy: Yrr-gus
et quia arcus AN simul crescit cum sinu FN
fiet AN =  dy: Vrrgus. jam ex
constructione est AN ad AL seu 4, ut AD seu x
est ad AB seu Y, et fiet 4 analogia
Bsdy: ser-yu: 9 :: X: r. seu fiet
rn (dy: Irrgu = qx. Ergo differentiando
fit du: irr.gu = qdx: rr. jam 
Et
ut
yax = rr:q Sydys: trr-yus = r- Vrr- yy W:q
Er itaque spatium A H A est  seu sydi
est ad ri seu quadratum radii, ut Y- frr. gu, (en AE
esst ad AL seu q arcm quadrantis. id est at
totum spatium ABLH A, (quo casurr.gu 20
est ad quadratum radii ut radius ad Tes arcum
quadrantis. Quaeranus et ygax.  Nempe
vel tst
C