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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 308r, page id 00067993:0617
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inscriptia
A latenis polisgoni sequentia. si 1. Ssit radis  LCM  AZC R ab
4. Sinus seu semichorda Possponi grae cedentis
4Y2 28 Rg. IS-a2.  C e
vn
Gercharda
Si Latus praecedens nepagone sit, erit latus ejus, 1V. et semichorda
seu sinus L Ergo  lateris Polygoni erit:
22 - 26 R4c ld - 13 5 (- 2 a  3 e t 35
es
o 4 - 13
et 35 aqeot
22Y =R4 3
rna- A 43C 24 - bq 1249 (
a A 
sict dem qaldedetus
2x pet
1
e
V 4
4
u
23 = R931 Latus decagoni.
t progresjio geastunta, cujus terminus 1m est 1. et seprons ter-
minus quilibet terminus sequens fit Ex praridente foumendo praece.
quarram partem Bti termini praecedentis, cumque sabtrabendo
eunque multiplicaado per quadratum termini primi quater sum
tum Ex Ec facto extmhendo Radicem. Factum subtra
henda a quadrato quagrato termini primi;; a refiduo
extrahendo Radicem quadratam, productum subtra-
1
sendo a termini primi lto duplicato, a residuo 
extrabendo Radicem Itam. Vel brevius: 1t
semiquadratum termini praecedentis subtrahatur a quadrato primi
moducti radix quadrata ducatur in terminum primum duVS.
plicatum. productum subtrahatur a quadrato Termini primi
duplicati. mclesidui Radio quadrata est terminus sequens
Terminus prins est paulo major dimidio praecedentis, videndum
quen
Termins prinus et eius dinidium Ls derminu 2 0sest: 22 s a  R4 -
est quanto maru
23 = a 2ER4(3Y seu 23 - B96. Hoc sultichatir ab L fiet:
Aca , Esea 2d L12 sea 2 12 + (Ho 23- 12 p 21- 6
eo
-
subtrchatur a b ta dimudli termini primi 1I. sict . 13+ 6+ - 2s
1 165- 03 +
et
1 465 52  6r-78
2r - 6 - 1 = 85 - 17 - 67 = 2+ - 65
ut
Radius est
4  4. 137
zoni et decagoni.
Tener 4. Lalus Horoui est 1. s sinus Polygoni praecedentis a
An  sat sinus colygoni ppaecedentis a. Et solugon
sequensis 2  a25 X9 s13 a Latus primum seu
Hexagonum st. S. Ergotul ejus sinus 1s Et tatus dodecagoni:
ob 
2) - 15 243Y
2Y - 1923
4 4 dtta numinorum latris Hexa-1. s
1.
Rg. 3
2 25 aqu.
C
quod ita reduci po ut sum
2+9 - p 2 Raq 3.  Aq 314 = 13 lit + b. g. 2 = 29 32. b.
G24- qu 2 2 249) es halus colys goni sequentis. cumqu tumum a.
sit.
2
n
ag
t
52o aut su nt 
) t L
a
12 + (
1eo munctat
 Het
auecda
medm
dt
102 527
8.
2
x
ed
13