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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 73r, page id 00068200:0147
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sectore
Octob. 1677. pars 2da de quatura Circ. Tetray. per polus Gae
circuli si circumferentia polygoni
in scripti b.
aequatio
a
sa
circumscripti sit d. ei
et numerus laterum n. et radius a.. habebitur
an
Et ut tollamus n, quaeramus sequenstis
inscriptus vel circumscripti circumferentiam ex praecedent et radio
rursus haud dubre valorem ingredietur n, ope harum ductum  aequatio
num, quas n. ingreditur tollemus ipsam n, et habebitur aequatio quam
sole ingredentur a. b. d. et quarta litera C, circumferentia scilicet tertii alicuius
vator
polyhoni habebitur ergo radiis ex b. d. e. cumque radiqus sit semper
et b. d. e. pro quibuslibet imiplicatis sum seria
idem in toco circulo, it qualibet sectorum subsectione. hinc habebitur
formula ex b. d. e. composita eodem modo procedens, sive primos
s
ive sequentes sumas. Idque calculo experiri licebit. Contra quam
quidam se demonstrasse putabant.
sive pro ipsis
Nbd
quippe valor radii a.
Nam sive nteefi b. d
necessario
2d. sumas, semper proveniet eadem formuli
b+ sbd
quod si jam statuatur ab uno latere
hic valor inventus ex b. d. e. ab alio latere idem valor inventus exzue. 7.3
r circumferentiis trium invissimorum potusgonorum in sectorem
desiventium, quas ob differentiam infinite parvam pro aequalibus habemus
habebitur aequatio datura valorem
arcus
 b. c. g.
ex dat
b. d.
e.
ipsius. Se seu longitudinem 
vel etiam si mavis ex datis
Ybd. seu b, e)
26d
b+ Ybd
CP. med. geoniu inter bd
9med. harmon inter d. C
Ergo prob b.
2e M. porando  fie
b + e di 
eua
qad
quia g. ex b. et e. datur rationaliter, quod ad calculi compendium facere
potest
Dato jam arcu Hinc jam ex data chorda sectoris
(vel fangente, vel alia) dabitur longitudo arcus, nam ex hac data
dabuntur primorum soly gonorum ambitus, seu quantitates b. d. e. et
ex his sec longitudo arcus.
Vicissim videamus, quomodo ex
dato arcu chorda inveniri possit. Datur relatio inter arcum, ef
r quantitates b. d. e. quia vero datur etiam radius, ut suppono eo
substituto tollemus C,
Datur ergo
arcum et radium significantibus
equatio composita ex b. d. et literis
atur autem et relatio inter b. et d. ope
arcus, qua substituta tolletur dvel. 
b. Ergo vicissim ex dato arcu
b. vel d. restabit ergo aequabio pro sola
inveniri poteris d chorda, ope
de
ee
3
e
5
1Z
x+=
de
t
et
E
e
vi
F
2E
a+
2
e