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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 175v, page id 00068200:0352
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ciencibus incognicis erit =  -- -f. = N a 23 - a = XN, CX qua inve.
3
ay
aa
nio ralorem interCCDEX PMI, quem comparo cum ralore ejus dato,
ee sic innocescun coefticientes b, 6, d, scil. b  5, c=- 15 d-
quibus in requatione substituris eric + - 4
Spy 15ay 15aa
Palys - a3
quae detinic Curram FOTI, in qua PM-MC. PrSODer LemMAF
Area qua sica = 7-
e
EYy T5ay 25aa
X N aeq ad = h ar.
Exemp. 4. Sit Z= V yXV tV  Proprietas FigurR AMC, cujus
Area elt inveniend: ue haec habeacur, invenienda primo est alia
GUrra FOFI in qua PH=VyXVat Vy seu gXN aty 2: Tamre.
rd hic valor linex PMI in y mulciplicatus dat y2xn a+y2, _ ma-
xima dignicas exera rinculum compolicum eAt numerus fractus, ap.
Policis naque porestacibus interioribus cum coefticientibus incoeni.
eis, eric by24.0y2. fdy Efey 2XV a. +2= n hoc est
brg a dray tevaXVant Vy La; extrac aequatione
inreniaur raloc linea Pnt, qui cum ralore ejus dato comparatus
decerminabie coeltcientes, lcil. b- 75, c- 0, d 10, e 5, undo
8Vpqova
1G  XVa. Vy = ux, quae aequacio detinit C letam FOH
in qua interCOpta PMI aequalis est ordinarim axplicata datae Fis
BUTa AMC. ErBO Per LemMA I.
Area quae sica=
1V
aVa
XVa Vy = = a
Exemp. 5. Ouaericur quadracura Fisura AMC, quam compre.
hendit Curra AC cujus equatio est 22L1 3
dinatae 2 = - yX
y+a
unde ralor Or.
vel sccundum aliam nocandi Formulam
2 = y Vy a: vel tertio Z = yXy + a, quoniam hic casus
nonnullam habet difficulcatem, visum est Leibnicii Calculum, ju-
red omnes illas notandi Formulas illustrare. Pix prima itaque eric
byg +.