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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 161v, page id 00068199:0322
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si ope fili FL ducatur punctum L et ut describatur linea LL
utique FL est langens ipsius LL, ut ostendimus. ponatur autem punctum f
tuli percurvam FF. vel quod idem est per directricem As in
qua punctum fixum A, incedere regulam RF un qua procedat
punctum F caput fili utique. F descubet curvam FF Hoc amplius
possumu ponere interius fitum allongari vel abbreviari, si verbigat
gratia in F sit verticileus. qui circumagens, sese agat filum FL attrahat
per faramen. ita crescit degrescit fitum pro r argu circnli cui
circundatur in vertiglro. Et ita habemus novum aseu tertium motum
sicularem perticilli posset is determinari ex mota carva nova GG
 cui illicitur brachimm VG verticilli v d(normalis paginae, Y
A
dumprecedit punctum F potest ad huc nova curva excogalaridu
Num scilicet filum non linasit per foramen sed verlicillo curvam
Eliquam ebremmigente eei sempter applicatur, aeque enim (puto) eam
M
sem ut tangat sequitur Cin vero si semel langat e semper
lamret; et ex curva lno. Haec digna, inquisitione
video aufilum
n abfrcheretur
interim vidlaemus, quomodo hoe possint accommodari ad
curvam ex propretalis tangertium alae describetda
et ordinata) H
sit curva LL ejus natara ut tangente ducra FL, et in
 sto punto F quocunque et per id ducta F H axi parallela
oidinatae ocuirente i H, ddetur FH: HL, ex ipsis AB, BL
sit AK AB, X; BL, g. FH, HL ZCB. FL, FH W ubi datum
W ex data Z vel viceversa
2)
sed FL h AR Y, RF, f
sil X = Y+ FH et p = f + HL
(+1 
et datur relatio 0 = X, Y,
et 0 =
)
2
et si
2
FH +HL
b
11) et H A FH; HL = Z
ex 6 fit FH = Z. HL. substituendo in aeg, 3. fil hh = ZHL + HL. seu HL = h . + ZE
et FH = hZ: sit ZE ergo Ergo substiluendo valores ex 9 et so in aeg. 1el. 2
sit X= Y + hZ: ttZq et Y = f+ h: Si+ E qui valores substituantur
Hu
in 5g. 4 fet 0 Y fh.
e
.Sed supperest tamem ut sini
de dy: de
e
altur quoque in calculo esse
quod fiel
Estantem du-pont queratur quius et dispralis (5) et ipsius IL diffialis (6) et ipsi 19
difrabis ,) in Hdatur dicidendo 1b per 15, fit _Y
e ly. que (dy: axsen) Z vh, dy, da 
quaritur du pentarsu peraeus .t, habebrtur tqe per de, 24, 7 (15) fiet sem lk, 2
C
et in mugente