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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 133v, page id 00067993:0268
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1tX
en
evspl. G
 sinu BD, s. arcus AB AFB, a. sinus ve 
compl.
sinus arcu dimidii pu V+ BE Sinus versus arus dimidii
ert 8 sit KHGE AT tanges  
15
Taa
+_
= b
1,23Y 1234, 5 Y4 1,2, 24, 5, 6, 7Y6
607 a - a
+ a
12,1 8, 1 2, Y 32, 112, 3,4, 5, Y
1781, 2, 1, 2,5, 6, 37
+8 a + a +243 + 17a et
FY- ae + a- a
1, 2Y 1,234B 1234CbYSpdG
-
r  a 4 a
Er 15Y4 315Y6
4 1pY 16, 17h, IY 64113, 46, 6Y
aequatio 2 multipetur per b et additione facta fiet aequationum l. et 2
(+ ba,
ec. ponendo terminum cubicum equ. 0 fief. bp, - 8
a
Ergo (- 8V p a - 4a. Ergo apps +80
ba ere arroria aec
8,67
41130H 160
ap b +E. E. a b + 2b+C2
 B0.
a1 b+c
er major in quadrato
adic
qual
simililer aequatio A multiplicetur per b. et additione facta aequationum
e
6
+r = a
aimo minor fractio
rponendo terminum a p0. fier bp- 16.
2r oe
3 er4, fier: + bKH+bY bq
ErgoBpa
id
 + V 16KY
Y + 164
vel a p5GE
2Y
+b44l
16,1477
167
 + (164) 24 +, +3 a, seu 3a ut G
2
PY
seu a  CFC+ + FE- AD
r
a  5 29CF12 Ergo 6 a a6  na + a, 24C412)
4
Ergo Cp7. 1 a + a Unde haec nascitur constructio
2a
constructio.
Dato arcui AF B rectam aequalem invenire
A
a
2o
ad
10
sagyi
c ipurs
.
verte signo)
Bifecetur in F pinus exc sit arcus AFB centro G des criptus. bisecetur in F. jungantur
AV GA, GF, AB et ex cujus chorda AB simus sagitta FE, sinus ndx versus AD
in quo producto sumatur AH sedecupla sagittae FE; sit AL tertia pars ipsius DH
funde erigatur perpendicularis LM, occumens circulo in M, et juncta AM
erit arcus quam proxime aequalis
Alia appropinquatio ex aequ. 1. et 3.
cogor
set a -  + a t)-a
abc ei b ba3+ ba
et bi+
eErgo 3(Y- ac piOra (ra
A
Ere quil ba, on
Ergo 35ra se 
seu quantitas quae sit ad sinum BD ut radius AE ad est ad diametrum AN. Jeta cors 2Y +C DG auctum er
menti
70rb.
intia parcarcus
sed maximum eut compendum si a et a simul tolli possint, tunc enm erjor non multum
excedet nuli terminum a. Quam in rem utemur Teriebus, l. 3. 5
fver te)