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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folio 41v, page id 00068160:0082
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si radii essent aequales, et corpora assumerentur majiru,
tuquisitio nce sonnidiameerum circoli oscutantis
opileturr eadem virium sectuo:.
si proordinalis convegentes ad habeantur, ope calculi
ty faxtau
ECF 1rC: 1L2C::  eV CZ
seu A +4 Ry:: CV. CZ
y aer
er CZ Satu = CV  vel PC- PL.
ay
qurum differentiae sunt cujus aequationis
a
seontialis est
V
vexdu
seu usCZa
dys
f, e trrangula VZβ et V2Z5 similia
fiet rE VB: VHZB:: ve
VD: V2Z: 27
VZ1 Vd:i ZB
5
37 q (3: 27d.:V B. V0
VZ. VL:
jam = Vd -V
Z =  7d
et Z Zd: 1L2C:: PZ seu N. CZ: pC
2Zd: ZB:: V
ViZ
y. CV
= CZ. et deZ = d-
e
Sua . CV
seu recta reique parallela rectae. Vp Esta Est autem 1Zd: ihii pZ:  PC
andus
ev
i pZ
obtriangula V 2Zd et p. Z d similia, sit  fit 4 d 2Z: d1Z:: V. Z:
th
et Ergo 2 d. 2Z = d d2z0Pc: dy. PZ:: V
porro d2Z et iZC
(posito quo V2Z secet p1C in β) sun aequivalent aequalibus, quia differentia
a
mnes ia si al cruci nsro 
Ergo d2Z seu β1Z sunt est differentia iter
P1Z- p22.
Ergo d2Z=
et
vinte parvam
priset
M. diff.
jam dFZ = d pc seu dx = d pZ seu d2Z
l
d
y sn.
C
Ergo sif  d sait: i
d
CV.
pC
= dy. 167. vC
eseu est
Ay) cV. x: dx
Sitisu
es pr
si td = CV. RC est autem V7 = CY. i rax iu
in dy
ex PC ( = dus VL: a
et fiet x sunt aliter dus ut sinus coplementi rodii ad curvo radii auguli radus para
vex +u X firt: A et dx: Vax + otque est 3: a posito
6 esse S. sinus ejusdem anguli a Ergo fiet: a dx PC - dus S. VC = bCB CY d 8
Si a = dx: dc:
centrri ad luo:
et fiet CV = axa PC - )S.BC: Pe d8. PC. ja ingulu cp 5) recto edducatu5)
orcurrens ipsi tan
enti C5in  erit
e SA: d S: a:: dx: dc:: CP: C5)
s 8. 56S pe 5b = 6 B5 = 1S sinitotius ogt
ducatur p5, eique parallela 9. 10. ex extremitate radi a
occurens ipsi P in 10 eritus p. 10 = ~ et fet et
65=5. 65. P9 = 78. PC
Ergo PC.:5: P7: 78..
(V = dx a  = dy VC: d8. sec ex a: f dy. 810 + d 56a