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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11
# Folio 52r, page id 00068164:0103
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aqu descripti sint semper inter se proportionales,
sed e sufficiteres sse sed praeterea requiritur
eandem puncti ab eodem omnium axe communi
manere distantiam. Sed si mobile sit rigidum
ex sola arcuum circularium proportionalitate
se quitur mobilis circulatio
problema
eren motus
Motum ilectelineum iceenre irculari
dati mobiles espatio aequaem ceique patium
dati uobilis invenire, quil sit
Notr ctibie spatium motus rectilinei
dati mobilis invenire quod sit
planam
ogrundo circulando
in Figuranmobili proportionalem et gdo pro-
portionalia spatia describense inventam per
problema praecedente anterius ducatur recta normalis
 quae faciat et cylindtur rectus ungulae pro–
blemate praecedenti constructae aequalem.
si jam mobile, moveatur motu rectilineo, ita
datum
apiquo modius us. eut ad uamia
exedistantio
aequalem. It motus erit quaesitus:
rigido
Mobili dato rivel ad rigidi instarmoto
problema
Motum rectilineum invenire cujus spatium
datum diidati mobilis
motu dimensum sit spatio per motum quemcunque
dati mobilis ejusdem tanquam rigidi dimenso aequale.
Omnis motus mobilis rigidi resolvi potest in
plures rectilineos et circulares lancirculares reduximus
in rectilineos ejusdem spatii dimensi seu viae plenae
reduantur per  si  arcs
motus rectisinei circulari aequ
sumatur circumferenti
circuli quae sit rectae
per problema praecedens inventae aequalis. idqu
idque fiat in quovis motu circulari. Punctum motu
composito ex dictis redilineis et circularibus omnibus
positione servata d latum de scribet lineam
eorum
cujus longitudine si mobile feratur motu
rectilineo, ita scilicet ut punctum ejus quodvis rectam
datae longitudini aequalem describat, erit via
plena aequivalens viae motus dati ejasdem mobilis
per dieme centri cocavitates huobilis eadem
rigidi
coqt,  Genemcliter verum est in mobi li
lege rigido vel  mutabili, continuo vel dissoluto
imo partim moto partim quiescente, vecncentri
quam
qnam mobilis restilineam  per rectam ato aequalem viae centravitais
grrditates in mobila da cam, ee eare via
enal
quam habetur
 viei eneobilis in motu dato describit
aequari viae motus dati. Sed hanc  considerationem longe ampliorem hactenut p
gravitatis
disrti distulimus ad quia nondum H ostendimus dari centrum gravitatis
Notum rectiiomena se
invenire, cujus spatium motu dimensum,
sit spatio motus circulares ejusdem
mobilis dimenso aequale
D circulatione eadem
descripta
nempe
seita ut quos
punctum describere intelligitur
sint  paralleli iis qui a mobili
describuntur, et ad easdem
partes,)
demonsstrandue sm fuisset hoc
punctum semper coincider