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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 73v, page id 00068200:0148
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methodi. Unde daretur sectio angulorum universalis, et constructio
trigo problematum trigonometricorum per geometriam puram
Nec video tamen, quid obstare possit qua minus Sed hac aegre
credi possunt, daretur enim eodem modo  et quarum libet
Hyperbolae partium quadratura) et proinde extractio radicis cujuslibet
per certi tantum gradus aequationem
quaestro est. sit
Quod an possibile sit magna
VG a C) Sa +b1a b _ +.
tollendo irrationalitates, debet prodire identicum quoddam, quod
an possibile sit valde dubito. In primis ob varios radicum valores
nondum tamen sufficientem habemus demonstrationem. Quicquid
sit calculum non admodum difficilem absolvamus:
seu
2
satf
Ex tangente quaeramus tangentem
l
Be arcus dimidii interventu radii est
enim relatio ut aliunde mihi constat rationalis
1dig
Nans, (s. cD vel BD tangens arcus dimidii (B
ob angulum C rectum erunt triangula T CD, et TBA
similia, ergo
sed
FDHt-B
DCHD
2
a
TAN
ABB a.
H F + a. Ergo fier += 2D + +62
se t -20+
e
a+ +V
a2
D 1I a , seu CG  ta - 2ba  DF
id est +r 2b a2
a- 
seu
b
1
2a
DII a D2 ponamus autem
ta
 esse aub dimidium ambitum polygoni catque secto du
unq puritit
arcu es duplus BC. sui (cujus secot u catens est duplus BC) er
erit ut  per numerum laterum ejus divisum. Is ambitus
sit d. erit
+. 1
ambilum
d. et 0
2n
 seu 8.
2, 2n
an
quiaponendo tu polygoni circumscripti g. inscripti e, quorum
circunse ipti daplo tat munem laterum n. et d circumscrepti
proxime majoris dupli tale dimidium laterim numeri
n
ambitum. d. Et substitiendo prot et B eorum
valorem in equ.
2d
Et.
2a2
la-d2
16n
∞1
2a
Y
seu 91
A1-
a
1
X-
ae-d v
16
2ar
or, fier
2n
Bisecetur BT in P.
contro C. radio c
describatur semicirculus
y DR secans spam
+T in R Q. et R
erit BP ad BD
si in composita
ratione AC ad AR
et AC ad Ag.