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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 12r, page id 00068198:0023
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Sequens Methodus in primis inquisitione
digna sit aequatio) stangentialis in qua so nempe sunt
hae tres quantitates X: a; y:a; dyidx. Ponatur gia(ddz: Z
L
et X a= dv:d, fiet dy: dx (2) dzddze: Lzddv- du
ponatur a ses 13) sit y: a 2) sddZ: de Et X: a β) av: d2
_ fiet dy: dx (9) dZ daz:, dzddo - d0ddz. sitg de (4) d  l 
sit constans d  de () ret (auidZ) unde habetur 0f5) du; d Ziddo; ddz
Hi valores ex ae2, 49. 2, 34 substituantur in aeq. 1. fiet 05) Aex )az: 1
e  Z et dv d0, dZ, ddv, ddze. Apumatur de (6) ex de et dzue
et tollendo de differentio probibit aequatio  edede) (7) in qua dv, dz.
, quae et liberetur a adz: dz, differentiando, protibit aequatio
aeq. 16) in qua dz, do, ddz ddo, d DZ  dv. Assumatur de
constans de (7(ex do et dz et tollendo eam per diffirentiationem
habebitur aeq. 8 in qua du, dZ, ddv, dazue: et hanc rursus diffeceulaudo
prodibit aeq (9) in qua dv, dZ, ddv, ddz d3v, d37. Et ope aeqq. 8 et g.
ex aeg. 6 tollentur 47 et de, vstabit aequatio (10) in qua eut
 dZ per ddv: dZ. Hinc datur dddz: ddque (11I per ddv: da
12 addo. aadi
seu datur)logu daz per ddv: dd. Quod quidem satis morum et videtur
s
.Notandaque haec pro aliis hujus modi violationibus
habitur de
non apparet ralio assungendi ad de et dz. nisiedebt nisi adhibeantur
victare lenem Homorneorm
et aliae E4.. Ex videtur haberi aZ per d Z per do: dy acedente 8
cunt
Eggo et daz. Az per dobaqu seu d per log.dzue per u videndum
s
an conjurgendo aeq. 8, non habeatur dio per dazdque dd v: ddze per de
adeoque erde. seu sed non licet habere de per dz, lices
V
interoeuret de, nam ande per 7 tollendo de, haberetur du per do
vel etiam pollendo do haberetur dz per de, et foret constans, quod
non licet. Ergo opus est artificius, ut prosit aq. 11. Et ex H dimtur eaz: 1Z
per de. de Jane Video etiam aliquid nimium, quia nam in aeg.
I
habentur (daz. d7, et dn: dZ et d lv: ddZ. unde per ag. 8 collendio
tav: dazue habecetur (adzue : dz per do: dz. Quod non licet, cum
nondum ventum sit ad quadraturas.
y: a (2) fd3: Z et X: a 
D.
et dg: dx (4 ( 7 dZ: vdZ- Zdv. Elude  aeq. 1. substituendo valeresfiet
Ergo an praestabit facere
a9(5) in qua dx fdz: Z, X v:Z, et dv:dque unde differentiando ibitur
ad gdy, de c916) ad Z, D, dZ, dv, daz. ade fint de 17) ex d v, E
lojaE lide dipecitiant. 8. sed hat non prosunt