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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 72r, page id 00068200:0145
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ectob. 1677
Cicul Teliugonist.
AE)
udi et methodus invent
quando id licet
2 C 11 y.
di quantitates eodem modo compo
3
X+ypae
sitas pro polygonis
= BC
AC H a.
BF
e
Ergordp
seu ibr
L
a fraera
 2ax-0
1ABNa
AFH Sae- =b
in
a 2a72aX
Vrax a
 dn
Eb H B
2a- 24
BD+DC
BC
ita video haberi quidem modum quo convoiitur invenitur tangens ex
semiareus ex chorda arcus et radio, vel contra.
Sed quaeritur modus inveniendi
hanc relationem ex. polygono toto, non exprimendo, quot sit laterum
ita ut ambitus polus qoni tascripti vocetur incognita, ut b
ambitus circunscripti incognita ut a, sed non debet intrare in calculum
peculiaris  haec proprietas polygoni quae a numero laterum
pendeat, sed debet esse communis later cuilibet laterum numero.
non l
quod si forte id in quolitet sectore possit inveniri, sed in polygono
eculiar peculiaris casus, quale est, quod toti circulo inscribitur vel circum
scribitur, tunc etiam in illo casu, singulari habebitur quadratura.
ps
radio et ambitu
Ootiam) ambitus
Idem
possit, ipso licet laterum numero incognito. nam cum res in infinitum
producitur differentia inter hos duos ambitus etiam evanescit.
Si bis inveniri posset valor iptius d, seu unius ambitus
ex altero ambitu radio, et numero laterum,  tunc ope hujus
collationis tolleretur litera significans numerum laterum, et haberetur
quaesatum
Video subesse aliquem enorem nec posse rem sir haberi, si ex enim
duobus potusgonis hujus modi daretur relatio hudjus modi unversalis inter
radium ambitum exterioris et interioris polygoui, sequetur novissime
eodem cum hi duo ambitus aequantur aream ectais arcum dari ex solo
radio, et ita deberent omnes esse aequales, quod absurdum.
posset tamen (cessaret tamen haec forte difficultas, si de totocanlo
ageretur). itaque deberet aliquid. aliud addi
ex. gr. consideratio
primae chordae, vel alterius primi tangentis, vel alterius considerationis
stecemu dectors cssurments,
2a = 2aX
e
b
pars. 1