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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 245r, page id 00068200:0491
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e
x
a += = a +2+ L
a + c
a
aa
COco - CBC+ CB=
CB +  CB. sit
Xc
r ac = (BY: 5. seu r: ac = (pi)
seu ac (B=rC
=LCB+S+ CB+CB
C
si sit Circuli seu
Ellipseos aequilatera
sit Axis vel diameter
AD AB, centrum C
vertices oppositi A et B
et fixS AB tumu B produ
catur i tra Et producatur
is AB trans B usque inD.
ita ut B d sit aequalis sermi
a diametio BC
detur arcus circuli
si jam
AF
et junctae DE, DF productaeque
occurrant tangenti circuli GA
ac: CB:: FL: Lβ. jaM LB = _- cβ in A et H, constat rectam
et FL = a Yr: a. fict; RC: CB.
GH esse circiter aequalem arcui
: rr: C0 : W - CB. seu cco coCB= EAF. seu triangalum A ahCH
=Vr. CB. _C co et Co== cB+ S..  esse cirliter aequale oectori cEAF
jam C= SZrY Bate
e
Ergo trans Quaeritur an similia fieri possint in Hyperbola
feratursemet
i inier ut sit triangulum GCH circiter aequale sectori EA
ettin ex
innae XR
ad ak
a quo figurae inspectio non videtur abhorrere
itaque et triangulum HH aequale erit sectori CAF
seu loganithino ipsius eL vel FL
quo.
t quo posito ad constructionem seu ad Logaritimi inven
2s
et
des
tionem nulla, optus foret Hyperbola, sed con-
uctio haberetur talis. sit numera C cujus quaritur Loga
n Cz
a In Lamina aliqua
ducta
u Vu B, itant Ac Bisla ac. Iphatteadett huhalus dt ) ea
apl
se secantes ad angulos rectas,  quem bifecet psa
propositus vir
ets
restmd. Jam detur numeus cujus logarnithmus quaeritur, it
sumatur in alteritio crure anguli ad C recti, ut in CQ, et sit) numerus
ab
ille CL. et ex L supra (ad partes A) erigatur normaliter LF
r reciprocus ipsius eL (utrigque enim est idem Logarithmque) et expuncto
culu solet
eoa  ad punctum  alid fidum D quod t AC a in
et ErCtZX= Co
ovasito
numeri eL vel LF quaesitus. 2
ita
ex educ
1s recta
eut ent
cim addac
et2
prenu
Lubetenti
recto