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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 37v, page id 00068073:0074
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quaesita. Idem brevius ita enuntiabitur
sis
ld
Cco
C17
aequ
arc. quadrant in C,Vqu
radi; era
quadratum
et
ex Centro C radio C. B e suralem secanti in 
imno normalis educatur ad partes g. recta C o quae
10.
Diß in duplicata ratione
ipsius C.V  portionis radi; usque ad quadcatricem
ad  GB totum eadium: et juncta 1)
erit tangens spiratis quaesita in puncto dato
inventa jam tangente spiralis, quaeratur
maxima ejus latitudo, seu punctum 4) tate ut
 q
fauvens  sit parallela ipsi axi AC vel  ipsi 
(2) 4
 erit ((n) (ipsi  parallela) etiam ipsi 
x
parallela, ex adeoque si unum punctum Q() parallela
omnes enim n ex constructione sadere intelliguntur
in ipsem QB). jam cumque
se
) punctum habeant
commune, non possunt esse parallelae nisi coincidant
adeoque cadet si punctum A) determinet maximim
curvae lalitudinem, cadet punctum Z
Hinc jam videamus quae consequantur
rectangula
A triangula se
V
9D.
 +B((n) similia et (Ese
e
similia erit (E) Z ad radium eC, ut (5) aB ae AB(
est  autem per priora 4β (() ad (3) 4B, in composita
eatione quemadmodum diximus
EC rad
ergo erit.
aequ. Quadrant are in (C 4)
Radii quadrat
e
Est autem C
aequ
arc. 24β
rad;
Est autem (E)e tangens arcus 24β. seu
e coincidit ipsi +B, et anus tangens
e
arcus complementalis arcus C 4B  osta recta A48 est
Jam radius  media proportionalis inter tangentem et tangentem
complementi, Ergo ergo
Aac
. aequ. QCrad. arc. 241
rad
Ergo tangens complementi AAG
8
rad
aqu.
aequatur arcui
maximum spiralis Archimedeae latitudinem
de terminanti
demonstrandum
Quod primum erat
opiratem
ar