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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 139r, page id 00068200:0279
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magnitudine
centro D radio DE describatur arcus circuli E2. centro IB radidat
radio BE arcus descriptus sccabit EEE in 1E. Sumatur alud punctum 2E. et
jungatur et centro 2E radio EB descriptus arcus secabit: E1E in 2B.
jungatur 2B2E et sumta 3E velut centro radio EB descriptus
arcu secalit 2B2E in 3B. jungatur 2BuE, et sumto 4.E
+
1B3C
velut centro radio BE descriptus arcus secabit 3B3E in 4B
et ita porro; posito intervalla essequatum
ucpuncta cB2B3B+ B. constituent curvam seu potysgonum
infinitangulum cujus lat langens BE est data magnitudine
data occurrit circumferentiae. EEE centro D. radio DE descriptae
Hinc patet curvam hanc describi posse, si dum DE movetur
circa D. ipsa EB moveatur circa E, ata, ut B percuriat punctu
1B2B. 3B. consideremus ergo, quae futura sit motus relatio motus
EB circa E ad motum DE circa D., id est quantum angula 1B. ED
2B2ED, 3B3ED ietc differant.. ducatur 2BEC aequalis et
parallela 1E.B. et 3E3C aequ. et parall. 2E2B, et 4E4C.
aequ. et parallela 3E3B. et ita porro erunl omnes aequales destanti EB
anguli autem 2C2E2B. 3C3E3B. 4C4E4B. pempe in tria ad
vertices in triangulis. aequicreris.) erunt angulorum 1BIED. 2B2ED etc.
ifferentiae jungantur 2C2B. 3C3B. +C4 B. bases in triangulis
equeruris quorum cuisasem semper constanti EB aequalia
ponantur et 1E2C. 2E3E. 3E4E, etc aequales adeoque et ipsae
1B2C. 2B3C. 3B4C. aequales ipsis 1EG, et in 1E2E, et inter se.
quaeruntur ipsae 2B2C, 3B3C. +B+C. Chordae scilicet sive
arcus sriam in infinite parvis idem est) angulorum, differentialium
seu portionem motus circ EB circa E.
pro ducatur 1E2E aliquonta in Z. erit ang. 3E2Eq. aequalis angulo
dimcidis
1ED2E nam ang. 3E2E1E aequ. angulo 1EDF (ad cinumsrema
ferentio  ad centrum) ipsi autem 1EdF sumplementu ad 2ret
2 rectos est 1 1ED2E, et ipsi 162E3E suppl. est DE2EZ. ergo
ED2E et 3E2ER. aequales anguli
Rursus 2C2E2B ang. aequ 2 2E2B, E
Jan 2C2E2B + 2E2B,C + 2E. C 2B. aequ2 rect. equ   aBb4
aequ
gei
EE2B,E + 2E2BEC +C2B. B aequ. 2. rest.
Ergo 262C7B. aequ 2C2B. B.
differentia inter angulum DB DE.E et D2E2B est ang.
2B,5 2E E 2C2E2B, ergo et huic aequalis 2E 2B, B.
imo errutum, non debet esse 2E2C aequatis paralleta 1E1B, sed
debet eunde facere angulus ad radium DE, seu 2C2Ed aego ang. 1B, ED
f figura ergo aliter delineanda nempe ut in N. uti hic calculus
1E25 e. DEHd
F. EN  DFd -C, DE,EH ESd- e area Ili 1Ed,
dividatur per dimidium basin D. Ep, L habebi fiet  Sa2 C  C s d a quae
aequ. D  a 2EG. 1E, EH = 2 EG( 1 G15F 2 seu e -  erd +. et
fiet: G. Eaequ e. pono G+BB 2E2B( - e1, + d g 4 q
DE D.Bp, D, E =G2B = G.Ep, d + f6- e+ et -
e
d 4d G2Bp Nb- C4 0
mulle. per = C5 fiet. 4d
4d 2d
2d aC + 8 (62 C+ , 1. 15 - 1 e fde e area Al. 2ED2B quae
d
4
dividatur per dimidiam D2E fiet p L. firt: Fd po +  fC .  2e . 
po cea laon ali cireo untta peo 1us et et abionitu.