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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 1
# Folio [26]v, page id 00067960:0052
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 centrum ductae et utri
diameter est recta per centrum ducta
et in peripheria utrinque terminata
Diameter circulum bifariam secat
Esto centro C descriptus circulus et recta AY
per centrum X ducra AB occurrens circulo circum-
ferentiae in punctis A et B, dicto rectam
AB, bi secare circulum bifariam in segmenta
da congrua quae sint AdB, AEB. Nam quia
ia AB est recta, planum in quo est AdB super-
imponi potest plaro in quo est AEB, manente AB
Si jam congruunt AdB et AEB, A uique habemus
propositum. Sin non congruant, dici potest recta ex C
quae n ubi uni circumferentiae occurrit in D
veluti in D producta occurret alteri in E, erunt
ergo rectae Cd et CdE  i pars et totum
inaequales  sed eadem aequales sunt, um
cum sint a centro C ad circumferentiam D etE,
D vel E. ergo coincident d et E, puncta quaecunque
adeo et curvae ipse arcus  ADB, AEB,
atque adeo (ex natura plani) et contenta ABdA,
ABEA semnicirculi
AB AB AYB ~ AWB C
 sit Y quodvis punctum unius plani in quo est si
arcus ADB et sit  quodvis punctum alterius plani
in quo est arcus AEB, rectae autem AB puncta sunt tam
ut et
Hcminux est segmentum non per centrum, ca fmicirculo
ex pansentir
ut DG abscissum, pars toto
XC ~ AC A est X et B est X.
ACB~ ARBY ~ ARBZ C est R. AF
A, A, B est Y, A, R, B. est Z ARB est in Y et in Z
 AB  est  Y C A V et WV sint segmen
V et W sint in X, ita t AVB seu V sit in Y
et AWB seu Wo sit in Z et Y et W sint in X,
et et V = W sint ~ X
Fiat X, ita ut sit XC~ AC s lucta
FRa Fiat R ita ut sit R Y ~ RZ. et 
 nost Y, Z ∞  Fiat R et sint recta
s A C  E siit A et e  et B in R, et sint A et B in X
et X sit ∞ AVB A+ AWB
dico AVB ~ AWB seu V ~ W
P  Y + Z, ut sit R in R et in Z et R. Y ~ R. Z
fiat R D  si V in Y et W in Z.
fint R. Y ∞ R. Z. Dico AVB ∞ AWB sit 
 n v. sit C)W sin minus sit recta C(R)
et afiet quoddam et erit qu. V in (P) et qu (W) in R
et si non
=nisi coincidant d et E