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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 34r, page id 00068073:0067
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ac Martii 1679
Non absolviuus. Amolitisumus paraconismriacicem in carculis
differentiali. Nova method curo spicianum partium dime
Access uts quaerendi. ut impossibilitaem. Nondum perfectam ho
Tentamen ad dimensionem arcus alicuro
circularis. Scheda strima (a) arcus quaesitus. a auu quilibet
(S) Secans ......
(C) compltangens quaesitus.
seans....
Soverus libio de proportione curvi ad recturu promota
lib. 6. demon Mat prop. 4.
 si
reperiatur arcus, ad quam secans minorem
rationem
habeat proportionem, quam alius quilibet
secans ad summ arcum. eum arcum fore
aequalem  Tangenti. complementi sui.
seu si ( y ce c
Ca)
euit (C) Aequ. (a)
Hinc re nonnihil ad huc pro mota, ut saltem
ab una proportionis parte merae sint
quantitates notae hanc ego propositionem
formo:
2
si reperiatur tangeus complementi
secans quae habeat ad tangentem complementi
minorem rationem, quam quilibet alius secans
habet ad suum arcum erit tangens ille huic
arcui aequalis.  seu ( 1. S erit (C)) (a). Hinc
(+  C)
Cs
ergo a 
e)
a
a  ergo (S) + β(c) Y
(S) + β(C
vel (a)
a
fi.
a
idee  id est si detur arcus cujus at major ratio ad arcum
ratio,
alium quemvis, quam est secantis ejus ad secantem alium
quemvis erit ille arcus quadrabilis
sit (+) tangens arcus quaesifi. T. tangens arcus
cuiglibet: et radius sit unitas
Ex inventis meis
est (a) aequ. (+) - (+ + (4 -( et. et a aqu. F. , 1 t et
 et (S) est SIKF; et sest SI+F
AD aequ. 1. ATaequ. t. QT aequ. s. Hd aequitR
C
aequ. C-1
FT aequ. 1-t
aequ.
QA aequ. 1
AT aequ. +
ergo C aequ  +
geu C aequa (-1 + d + + + t + 1 etc
et (() aequ 1 = (+) + L aequ. (a)
1
1- (+)
-+