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# Title: Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5
# Folio 49r, page id 00068534:0097
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Ex coptanda les celeulits lats
qua labentes ipso 23,
et
dia umus
eccurrat extremitatibus vicinis
e
1nemi
erpe tipsi 3, et
Eauli tt e stiteri
duabus extremitatibus
ad
d
X2
te
a e
Nh. Hic exemplum a culandi
 infinite parvas ds
nit
25..  23
u
in
omanentes,
lineam connecten qi sat Algebraica
 
i
 ea B q isper dari ex A4 et 45
debet 23 transferri in H12 et 12.13. in
1131. (13) et 23 22. 23 in (3). (14)
sit A4 X et ∞ Fx
sit A1, vel A20 X et 1020, vel 2030, et 
sit Ex, ponamus 45 dari, ex X et dx, similiterque 23 id
est inte rrapta sautur ex continuis. jam ipsa interrapea sunt
jungenda inter se quoritur relatio constans inter A100, et 10(11
A2022081 1 1 300 127 et c. sit 4300  Vel A. 200. sit _Z
et 100. (11) sit   quoritur cotulio inter Z et V. hansferneur
ergo (2. 3. ulcunque in (11) (12) eiq adjungatur 12. 13 anguli
(17 (17. (13 quocunque. Ex assum ts 100(11) et 100. 200, et 200. 300 dalisu
magnitudinibus ipsarm (y(iZ, et. 12 ) 13) hoc est ex A ek 45
A 10 et 10. 20, item eodem modo ex A20, et 20. 30
positione puncta (1.. (2, (13) Ergo dubitur A300 per =  10d
seu Z+ dx et A300 seu lZ) = Z + dx + 1d7)
200( 3) seu (∞) nemus 300 (13) seu pv)
vel alite
Jingantur (19, (2) (13) positione data et sit 31 ∞1) (12)
angulus nellus da adeoque ratio  100. 61 ad 16 (11) assum; potest,
similiter ratio 200 (12) ad 6EC 200. 462, et ratio
300(13) ad 300. 63. Ergo Jan  100. 61 ess ad
14 (1) ut datur ex 100. (1) per (1) (12) et 100. 200 et
(11) (2) datur per A10 et 10. 20. datur ergo relatio
inter 61 ( et 100 (u) et 410 nedentibus r0o . 20, et 100. 2
et simulis plane relatio inter 62. 200
e tulli
Icug rclatio quaecunque inter AW et A10o dabitur et relatio
inter Aro, et et ratio 100. 200 ad 10. 20 per A10.
restat ergo relatio intr 61. 100, et 100. 11 et  et A 100
tantum ergo relatio talis assumenda ut 61 evanes cat
vel aequatu aque rdv.  =  x 0. res
ergo eo redit ut quantitas  (data per X) resolvatur in
dux quadrata quorum latera sint summabilia, e
xx= 2aX +aa sit BtoL IXt 3X
litus sumbili est  on 202 + Pex etce rattum 204 2ux 22 X etc haec
a + bm
2
1