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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 187r, page id 00068196:0369
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Est et alia s via Transformandi per additiones ordinatarum
sit figura curvilinea cujus aequatio: y sequ a XX+ bx + C
_3XX + ex + f
Et alia cujus aequatio: gy7 + GZ + C2y + my + n aqu. 0
sin
assumentur h7 aequ p3 + qu fY. quo valore esubstituto in aequ. 2.
fiet: +g yy + 9yp + ry A+ mqu + nir aqu. 0.
Ap.
+ +
xh
compendii, causa ponatur 9Xp aequ. 0. et in aequ. 4 evanescet yy.
cemp et: r + l + nip uodetur s et m r + n vodetur +.
et ex aequ 4. fiet: qyY + sy m 9 v + + aequ. 0.
et pro y ponendo vatorem ex aequ. 1. fiet:
+ ga XXV + qb XV + qdD + S’ a XxX + sb x + sC
+ ngd xxV + nq e xV + nq flv + td Xx + Fe X +t
(10)
ubi ut tyllatur xv tantum faciemus: a aequ. - nd.
Tollatur et  si faciamus e aequu-
sit X ago b y
sit rq acqz.b
h
Mit
Tullel e ee
(Z aqu. Exxrdx  e denque: lx + nvx tnoaput quue
Fxx +gX + si
substituendo:  valorem ipsius V ex aequ. 1. substatuendo in aequ. 3. fiet:
(4)
a + tubzs y +lbb yy + mazx + mb yX + na Z + nby = pX + 4 aqu. 0
ponamus nunc C et f aequ. o item  et pr. habetimius:
et loco aequ. 4. fier: 1aa 22 +2 lab Zy + l bb gy + matz x + mb yx aq  + q aequ.
multiplicetur et Z aequ
Vr
detaticxtee
Ergo lac d’ex+ d ext e +
+dXX +Ch
rr
Et Daego
0 d x + C. ((axr q d XX+ INCX + e    reglinahit
D b. 9X + sit
et  (l aa a) laa 
 lab y +m a x OD + Lbyy amo m 7
rr
Ir
nig
PDaequ. axte YI
+h
terminus=
+ egt