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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 154v, page id 00068195:0308
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ostendiuec KC= feia. Ergos duorum segmento crem
ifferentia exhiberi potest in figura rectilinea
y
Chorda Tetragoni
etagon
la seunadiam eter est
cb = 163 l. si centrum. la.
Ergo ab sagitti-
sies de integran
minanda, an
ita biseciet, semicgmertum, et id
pulo verum, depnde puto demonstrari
poss arcum ce esse minori quam
ea. quo facto necesse est
differentiam segmento ram ce et c
quari differentiae triantuloum
X+ b = Y +d
0= y+d - X - b
X+ h- d = y
6+ 4
5 +
b= d = y = X
e = fca
14
9+ 1= 5+ 5e 6+4 +.Y + 3. 
9 - 5 . C- 1.
9u6 = 4-
9- 4= 67. etC.
theoreme
si s Ecce erge resulam memorabile et maximi usque nec tamen
quod sciam memoratum, nedicam frequentatum Si ialuo binomia
sint aequalia differentiae nominum ex diversis aequationis partibus
suutarum sunt aequales. Et aliud theorema si duo Resi
dua sint aequalia, aequalia quoque erunt rest binomia, quorum
unum est summa quae juggunt, majus nomen ex uno latere, cum
minore ex altro.  eEx dubus tribus aequatinibus residnorum
colliguntur e duae binomiorum;
v.g. ex his 9-6 - +-1
Sin sid
9 - 7 = 3-1.
7 - 6 = 4- 3.
9+1. = 6+ 4
hinc sequitur 9 +1 = 2+ 3
g -6 = 4 - 1 9+1 = 6+4
t
7+3 = 6+4
9- 7 = 3 - 1 9+ 1= 743.
Ergo 7+3 =6+ a =9+1.
Ergo 94 1 = 7 +3= 644.
si jam differentia segmentorum ce et ea, aequatis differentie Trangulorum
gec. et fea.Det differentia Triangulorum possit ex hiberi figura recti
Linea etiam differentia segmentorum polerit ex hiberi fegura rectulane quae
esto K. Ut autem inveniatur i diferentia segmentorum caliter, egmentum
minus ce majori ea inseratur differentia segmentorum fen quadricineu c
epice eaF, quod proinde aequale figurae rectilinete H. a qua si detrahatur
Trapezium EC ea rectabit figura rectilinea in X, quae esto M. aequalis
duobus segmentis aequalibus Etc et ega, cuius M dimidium,  Mest aequale
datuu
segmento EeC. Habemus eago Quadraturam segmenti EeC. cu ea
triangulum REC habetur, quadratura sectoris RE ec. habita area sectoris
et radio habetur recta aequalis arcui sectoris, cum ofiat area ft ex
semiaru in semiradim diametrum. Sed pondum ideo habetur quadratura
circulia nis costet tio quae sit ratro sectoris ad circulum vel arcus ad peri
heriam, quo delecto, esiam variae angulorum sectiones haberentur.
cum
Eus dundm
i
at