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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folio 8r, page id 00068160:0015
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projecta
linea in qua gravia
motu ae qualiter accelenito tendunt
sit MN
ad centrum terrae. sit projectionis
impetus iMiK
impressiones gravitans
inter se aquales _ iM iA, 2M2
3M 3A 4 M 4d qua repraesenlea
q rctis infinities infinite parvis
expressi. His proportionales siut rectae
communes CiL, (2L, e c. qua etiam erunt
aequales et linea aL erit circuliarcus, cujus centrum
s
C
it ch ducta in parcum s seusmomen
et recta C.MS
tervitutis
e
onium directirnu
proporkonalis.
A, EsA 2(, SM3C
d laime
C
duec
arcyencentio C
M
relocitana
vel his
 ducta maumm
1M1 A 2MZA, 3M3A 4M 4 5 15M5  )
 eat it recta
S
apcuptarum
nempe S1A  5M in S M 2 , 5M 3, sM4
am aequalium et parallelarum ab SM
So SM5C
C
c. Jam idem momentum arcus ex
jam CG visecat ingulam iL C5L
antro C seu ex recta
paralleta ipsi ce
l
seu MCSM
bisecabre ansulum iM 5M. C
ergo et SM5H,
(5(eFF CSM5N erit a qualis
ut du lem
aequatur rectangulo
argulo 5MC G dimidio auguli 1MC5M
ut verbo dicam ansulus
Npq facto ex radio circuli NP in tduplicatum sinu complementi
porro tactam ex ductu ipsit CG in arcum
L
sunt ergo ipsae SN, sinibus cyplementi
ipsius arcus C5MSH propo seu dimidiiareus ipsius unguli ipsius
dimidii arcus ipsius 1L5L
et exdrrectione ac velocitate
SMSX et SMSI componitur velocitas et directio
M C5M proportionales
pro linea gravis communiter projecti mota aequabili
mmbilis in curva, nempe 5MBM
parallelo discendentis; et ubique recardati a medio proportione
velocitatis tuatum opus est investigari tum relarati
descensus AB, _ redacti ad L, tum ratio
propactionis AE
p redactae ad A ut pro parabola AC cujus punctum
completo restto paralle logrammo  EABC
ast
curva AR
deto
cujus unctum R reperitur G ec quo
ardationes
NALR. Neamud moduntur in
reperitur
prodest
perrallel
sponenteo
qroportionaliter
M
M si
u
o
Ad
b