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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11
# Folio 78r, page id 00068164:0155
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ppositov  88
Ostendium si puncta aliqsuod moreatur eande
lineau uis smagnitudinem
esse summeae via, quae esset ac sa letidem puncta
singulis motibus moverentur, je et summa divideretur
per aumlium punctorum. Itaque cum motale cuovetuo
tuctu ulcunque composito summa aum Fractus ejus habebitur
compositus habetitur. De si addantur in unum tractus simplices
et summa dividatur per 2 si sint dua via cpositae vel
per 3 si tres esc. Hinc cum mosbile aliquod verbi
grolia recta, movetur circa aliquod certim cd
umunotum et simul in cedit rest restitinee in recta Cd,
via eiqs ia recta habetur facile per , ut si promesa sit ret
hacu
propesus sit raditu ex cd in C(dH et signil AB in (A) (B) ita
ut (A incidat in (B tractus motus rectilinei est Ad in A B.
rucius ejus circularis habetur ducendo in B, ipsa in B2, 34 56 B)
 quam datur summa et similis summa datur per A ant
puncto ntermedio quo summae aes in punctis reppondentibr
ordinatim applicata tant tractum circularem tandem.
sed fractus reltiliveq per se solus habetur per rectangalum
AB in Ad. summa tractus rectilinei e cirutaris
eora. per dimidiata abit tractum compositum qsui habetar
quaeis hines a puncto ut B descripta ipsi puncto Bordinatum
Hoc imo patet hino etiam ipsius lineo
B(B dimensio revera enim summa B1, 34, 56, eB) eto
applicetur
usq ad H1B) dimidiata, addita ipsi Ad dimidiala aqui vel QB
dimorite dat lineam B(B
let quidem est si punctum aliquod moveatur molibus
uobsopositis simamam notum iineam motus compositi aequar is
mumae cuolumum simplicium divisae per 2 vel 3 et C illud
tamen veum est viaq centu gravitatis,  liversorum lolitte
rotidem punctorm
punctori tolud punctomm singulore motbus singulis mitorum
esse duplum ver lrplam ec. vrae o coposito ipsius puncti
simplicis. Iaque si quod Motile moveatur motu composito,
ponatur moveri motu  simplice quolibet Xt quaeratu
ejus tractus cujusque motus simplicis ractus motus simplicis
aequatur vid centu in mobile ecundum hunc tactam:
sc seoruatur X quantitas e drrecti tractus:
Et via
Et motus puncti ex hphis Et via puncti ex his duabus
vel siburibus viis composita, erit via
divisa per
numerum copositorum motuum, dabit via, ducta
in Mobile clabit tractum compositum.
aequale
Hoc nurum vieri poterat quod si  mobile A, umpi
mis impingant E et G mlibus F et G an quescent et ipsum
to Aed
A movebrtur vel veilatibus AC, et AB G posilis sed ita seoperetis
F et F atque G quidscerent ejus loco. 2 cerum ila conservabitar
qoidemi oti cectri glavilatis. sed non nea potent a quorititas nisi in
pro nga progressionis
reribinem