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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folio 38v, page id 00068051:0076
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omnis summatio aequationis differenrialis reduct
sid suam suminatoriam, pores esse gumimatio. Nam
Omnis modus deducendi different ialem ex data, fieri potest
combinando differentiationem ipsius A, ad habendam differentialem
et sublatio alicujus per substitutionem, ut fiat nova C differentialis.
Nisi quod frius videntur eriam posse exaltari ipsa A id D multipli–
cundo (seu etam qum quarando crbando etc) et conjungi Dcum B ad
faciendam E. Quin et B posset exaltari ad F, et A ad G et conbinanto
F et G fieri H. et iuplex intalligi pt ex altatio ipsius B, vel
simpliciter per aliquam formulam ordinariam multiplicando
ut fiat nova F, vel imaltiplicando per formulam continentem
etiam du du et tum domum fiet _, H quam combinando
cum G, fiet R. Quin et videtur effici pt ut K deinde risus
primatur a dy, dx, ad se dg:dx. perom inum
una non nuctum imo possemus plures obtinere aequaves,
multiplicando aeq. B per forulam ordinariam, per
formulam in qua dusida, per formulam in qua aquax, etc
et miscere eas inter se et cum ipsa A mulliplica
tarsus per form. aedinariam, et per formulam in qua duidu
et per fam. in qua dyiti ete.
Et generalite
res huc redit: A multiplicetur per formulam
copositam exa du. dx + dus: Ax +. dy: dx et C. et
B multiplicetur similiter, et cillat quod labet
et
et conbinentur hae duae aequanes ut labet. licelet
A differenciareB et eundem exaltalam
rursus differentiare se et a tamlibem desse, et Gaiu
et
uamlibet multiplicare per formint ex ay.dx ulcum
opositam, ad habendas F, G atque ras deinde ut
habet combinare, seu quod suffilcit oponere in unu
quoi deinde utcunque hariati. Fbrlasse genralite
Suffocent procecere sic: A exaltetur ad B. et
ipsa B differentietur ad C. et tam B, quam C mul
tiplicetur per formulam aneralem et ag: ax. producta componanti
iuo resesi pt exaltatio ad B quia A gene ralis eam oria
geaeralissimum ergo hoc. A exultetur A dispereutietur ad B, utraque multi
aliaetur per form. geveralm ex Ajiax. prsducta conponantur