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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 174v, page id 00068200:0350
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Texemplum T. Invenienda sc Ouadratura FiGUrX AMIC cujus
Nacura exprimitur hac aequatione 2 = p l aayy valor ordinarx 2
ad simplicissimam Formam reductae erie Z y V gy- L ac: VE habea-
cur hujos Figurae Ouadratura, invenienda eM alia Curra FOTI in
QuA INFETOEDCA PMI SIc, Vy F a uc paret ex Corolario Lemmatis L;
ideo juxta Rogulam in Solucione Problematis r. praescripeam, mul.
eiplicandus est ralor datus linex PM Cseu MC) per y, unde DrO.
ductum eric vay F a: Jam quia maxima disnicas extra rinculum
esty ideo apponendi lune omnes termim interiores (cil. y’5 y3 y
C= 1) iplo semper maximo termino inclulo, (qui coetticientibus
incoeniris affecti aequari debent Juadraco quantitaris a, unde aequa-
eio quaesicam eminenter continens erie By) cay ) ea XVy aXX.
Ex hac aequatione inrestigetur ralor Analvcieus Linex PM per L eib.
nicii Mechodum hoc modo; compendii gracia Bonacur by cay
ea=p, acque Vy a =9. unde pu= ux cujus aequatio differentialis
est paque. + gdp. 2nda, (ed dg =
vdu
d dp- 267 dy + cady, sC.
Vyy  aa
Rituantur icaque valores quantieatum p. 4. nec non ap, dq in aequa
ciono differencialis erieque illa hujusmodi,
by + cay Y ea g rd)
EbiVyta xdstcavy +a xdy radX.
ag ta 
Ex omnibus cermminis sub eodem conimuni denominacote sequetis,
erie
26p +. 20ar fea 9  2b a yXdY
las vitaa
2udx
haec aequacio differentialis in Analogiam reloluta dabit,
dy. dx :: 2X
3by +2cay. f ea 9. + 26a7 + ca c: _ PV.  PC proisiete
invenietuE PNI
Nya
1b7. + 2cay + ea gut 2ba 7 + ca
2Vyfa
Lyya
H EF.1
Haec aequacio a Fractis ec lurdis liberata; mulciplicando totam per
denominatorem priotis parris dabit.
3by +20ay + ea 9 t ca
+2647
27 ̸ 2a y
Coalaco