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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 205, page id 00068191:0205
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prop. 15.1-
si mobile ita moveatur
ut punctum ejus quodes describat
viem livea nullum ina
ut pars ejus durante motu
non succedat in locum alterius
ab alia parte ejusdem durante
motu occupatum, et linea aquaevis a mobilis
quovis puncto descripta eagdem
semper angulie faciat ad
propvitionalis
mobile coincidit t
noobils cetevia tractus mobilisL
et via coincidit quantitas
tractus mobilis, et via
veaen si enim AB ita moveatur
ut nec punctitu arum ejus pars ejus
diam praecedat Eta enem Nam
arta quia angulus AA lineae
ut AA A2A semper eundem
angulum facit ad mabile, area vius
 nec eadem  pars vice in tractus
saepius occurrit (quia partes mobilis
sibi non succedunt) ideo
Nam quia partes mobilis sibi
non succedunt, nec viae eadem pars plus semel tractui respondet
in tractu repetitur; et quia area viae
ccujus angulus ad mobile semper
idem est, habetur si lineae viae punctorum
ad mobile ordinatim applicentur,
verbi gratia si rectae mobili AB
applicentur ordinatiui AE, BM, ipsis
lineis AA, BB proportionales et
nosdem ad AB angulos facientes 
erit areo ipsiu figurae isogoniae
AL P B ad aream viae 1A4A
ut 1AL ad 1A2A3A4 A
et tractus habetur eodem modo
vel proportionaliter habetur
per prop. 3. Itaque via et tractus
in hoc casu erunt proportionales
k
Haec
vera sunt
i mobiles divese
puncta non
eunt an
contramas partes