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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 38r, page id 00068073:0075
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imo ad huc brevius quia
c. quadrant in CY
arc. _1β
an. quadrant.
o
arc. quadrant. in rabate als
Ergo
rad. in. arc. quadrant.
Ca laequ.
rad in rad.
seu aequ.  arc. 21(
rad.
1
adeoque brevissima constructio tangentis adq
 s
rac
erit ttalis. Ex Centro C educatur tuorimalis ad radiumes
spiralem in puncto V dato secantem, qui sit ad parteru
(. quaotantu ad
eeeeeee v
ipsi parti redri a centis ad cspirateui eductae proportion
q
es
arc. 21β
alem siorimedeam
ad partes
radii a centio usque ad punctum intersectionis ut arcus
respondens ad radiugr
posita tangente 
jam arcus est L-
arcus aequ
+
t
. 1- C + 1 - t
at
erit
autum 1-E + +- f etc. aequ ut patet.
1+
12
Ergo erit arcus aequ) at posito n semper Radio
unitate
+42
suo tangentit  idem arcus aequalis est hic
a
1++
C
s
1
nempe
complemensi ex demonstitatis
Hhabemus ergo,at aequ. 
e
+ seu per calculum
nostrum differentialem habemus:t aequ d
Esse autem
est LL
aequ. ai
1+ f2
++ d seu at d = aequ. + + at - +
L. - L
+
e
 habemus ergo
+2 + + dt
1 d aequ. - 4E
+t2
2
seu
seu a destructis tandem quantitatibus exsaordinariis
habemus
e
e 1+ t aequ 12
en e  + aequ 1
trovis tubdo, oritur aequatio impossibilis.
52
Cd est circulo dato in scribatur quadratum
et huic alius circulus cujus radius assumatur pro tanges
l
arcus cujusdam circuli prioris ei respondens 
arcus erit aequalis rectae, nempe see tangenti com
plement sui nempe scilicet s
sid est
arcus ille aequabitur  radio circuli circumscript