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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 7
# Folio 8v, page id 00068052:0016
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si sit  d p: p = - dq: 9 fiet  p = aa: 9 posito log a =0
nam dp = aa +g: 49. seu dp g = - aa dq. q  Ergo dp. p = 
G
et
aap
eodem igitur modo ex dax:dus: dx: du = sde idus: Sex td
iponendo dx: dy = p: et Sdx +dy = dg. fiet
+p: p = = aq: q  adeoque p = aa : q seu Axa: dy = aa: (sitrus
C
seu axrdus = a: Ssac +du (seu dx + du: dx: a: dus)
d7. dx
genecalitest
susilo ad0
jam  sax+ du d sexidu = axddx 1. posito adque 20
Ergo seu fax + du: ddx .. Ax: d Sax + Cy
sis
Ergo aequando duos valores fit a: dy.: dx: a Sax +dus
et quia seu a d Vsxrdy = dx dy. seu fiet
a Vax+du =  X dy F bdus sit X+ b = 7.
fiet dZ = dx. adeoque a saZ + dy = Z dy. ergo a dz ads -27  2
seu dy = dza: F 77- aa
sit Y+C= V et do = dy fiet
L
aatcon; d ve V = as dZ.  22 aa. sen y+ C =, a sdx: SXX+ EbXt bb- aa
Hinc dy = a dx: Suc et la  der = dX. Si + aa:  - de rb .
et Sax+dy  et ta
Et
A (1ta +
ve Fdx X+b: F...
a (dx = s.. = c dx. ∞+b +
Quae proinde est silutio problematis redudti ad quadraturas. Ubi
quidem rectae  e constantes variant tum pro longifudive funis,
ipersa
tum etiam pro quantitate virium gravitatis, quae si ilia esset in siversis
distantiis locis valde notabiliter inter se disstantibus, alia  etiam
fieet figura funis. Et sanc data magnitudine funis datur (au idue
transue
seu quantitas arcus. veda ea ealis assam debe e o ertatem
tur emel sun
n emen
a est ut ex ad du. Ee velocitat or a geabiente erit defigienda
ntc um quantitas gravitetis que apur
quel describendas esset omva s. Experimento autem
+
ciptn a ratunad arcum
une ue facto hahebimus
a
p
nos est cisi experimento definiri poteste haberumue p pro
habita ea in aliis quoque uvis itemur Caeterum rectae b et ( c
non mutant curvam, quia nihil aliud faciunt quam augere et minuepe
ordinatae aut obscisae Congituomem. Et indicunt propriitates e allegare
et
locum eliamsi A. non sit vertex curvae, sed punctum ejus quodlunque
adeoque sucedere problema, etiamsi duq  puncta ex quibus funis pendet,
non sint in eodem aonzonte
dy a.Z= 10
siet 
c = A. ita
et 0Z aacoco