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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 2
# Folio 10r, page id 00068204:0019
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 11v); this page is its right half.
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Xoy
X69
X6y
X2y
X73
x 9
237
3
N’y
BA. AC divido in partes oqualos. et
Xy indo normulos origo distribuontos angula
n spatium in aequaliu paraledlogram
ima vol quadrata, quae concipio donomi–
nata esse a dimensionibus duarum in–
ddsinitarum spociorum. puta x et y.
regularitur ascondontium antormino A
prout viddo in fig.i. inscriptas: ubi
y donotat rudicom detrahondam et a
altoram indofinitam quantitatom de-
cujus potestatibus sorios constituonda det
donido cum aequatio aliqua proponitur
parallologramma singuli eius tor:
minis corrospondentia in signio nota
aliqua: et Mogula ad duo vel forto plura de insignitis parallo
logrammis applicata quorum unum sit humillimum in colum
ina sinistra juela AB. et alia ad Regulam ddxtrorsum sita,
caetoraque omnia non contingentia Regulam supra dam jacdant:
soligo torminos aequationis per parallologramma contingentia
Regulam designutos et ind quaero quantilatem ruotionti addendum
S.t ad detrahondam radicom y de yb - 5Xy5 + 22, - 7 a X y
6a 373 + 66+4 =0: parallo logramma hujus horminis rdspondontia
signo nota aliquax ut vides in feg. 2 Don applico Rogulam
D. E ad inforiorom dlocis signalis in sinistra columnu. damquo
ab inforioribus ad suporiora dextrorsum gyrare facio donoc-
aliam similitor vol forto plura E rdliquis signutis locis caepo
irit attingero. Vidooque loca su attacta d5sd +3 Xxyy et y b E
torminis itaque yb= 7 acXX yy + ba 3X3 tanquam nihilo aequali:
ibus (et insupor si placot roductis ad 2b -7 vV + b = 0 ponon
do y = oVax) quaero valorem y et invonie quadruplicom. +Vax
= vaa, + YZaX. et = V2~. quorum quomlibot pre primo termino
Quotiontis acciporo licet prout e radicibus quampiam detra
hore docrotum est. sic aequation yd + axy + auy - X - 2a = 0,
quam rosolodbam in priori opistola dat = 203 + aay + y3 =0 et
nido y= a proxime. Cum itaque a sit primus torminus valoris y
pono p. pro caetoris omnibus in in finitum. et substituo eo tp pro-
obvoniont hic aliquando difficultatos nonnullae: sod de iss crodo
D. Ldibnitius sd proprio Marto detricabit. Subsoquontis voro tor
mini q. V. 5. dodom modo de aequationibus socundis tortiis.
caetorisque druuntur quo primus p. E prima: sod cura Leviori quio
catori Tormini valoris, solont prodiro divodondo Torminum in
volvontom in fimam potestatom indofinitae quantitalis x. por
codfficiontem radicis. p. g. r aut 8.
Ontolloati crodo de suporioribus regrossionom ab ardis curva
sum ad Erodo roctao seori sude hamc de tracetionem raetsis
affictae
106
royc
X3
XHy
py
13
X
aettis
XSX
X2
Xyy XHG3
X3
X7)
ay
23
X3y