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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 309v, page id 00068196:0614
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possumus ponere X=
et y = L2
+ inv
pZ + q y
t
a2
+ + C
CZ + 9v +
effuus
equae suuppositio si suffic, (ad tollendam
constantem in s fractione vatone
ehalletur
dx
formaa
etram stantes in ax: dy. et ita oio
idem porro succedet si faciumus
Z+ b V
fZZ +gVV =+ hvZ
122+ m vv + n V
p77 + quV + 5vZ
+ e
Et ita porro in altionibus jam examinane
seus
cum est  est an his sappositionibus
factis semper constantes possint tolli
pro Xy posset etium scubi xx vel yy
mo scubi posset. XX + yy+xy =.
Fxa+ nosga 
ut dixinu
 1
His arto intta
Narum aequationum
ope alterius harum aequationum et prctis data
inveniatur valor ipsius X. invensus eo ipso
tnio quod memorabrC video positionus
Vaborum ipsarum X et y rationalvin
suppositionem suffirare, in org. O et)
ufficere, quia semper ex aequitione
erit valor ipsius y ob similitudinem sugme
perficiendae hac arte inquisitionis
1
qibi altius assurgerent
possent invenipi vatires rsarum X et y
partionales. Qeed non idems essest
sbus
ets utcuaque me miscerentur AEt is
d
ed
et GE C servata lege homogeneom
et scrberetur verbi gratia:
yy4: X X +. Z7 L. V +. yx + +: ly Z +, yv + .. XZ tot B 
jes
Est  glitertor ex ratione, pro posita quyhrimcae lullerentur
ota non rerferre etsi fractionisum
Nam in ne c
sitionis pro X et G. Sed sinto radales
sufficere, e magnam spem habeo
s
et cursus. XX +.. yy +. x vec iterm eeram
p
compositione ham
in ratione proposita composita C.
ex X et y, pro tangentibus proposita aberunt.
ollentur.
a
Z
agate
a nuncratore modo termini omne
numeraloris tsuue ejusde dimensionis
L.
inter se, item, Temum ois omnes nominatir
1
a
Magnam spem facit quod video
duas literas e et r suficere
ad Cillendam a ubi est absoluta tam
 in imnevatires un in nominalore
et spero a eode modo reliquas et
subi est ut icoefficiens iposarum X et is
Imo tram videorem non posse
succedera, nisi numerator et
nominati difeiant domeasione est
commodisomum enit numeratore esse
una nomensione allictem