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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 168, page id 00068192:0168
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Diponamus AB esse rectam,
quae in plano eodem eadem velocilu
te seruata guretur circacentrum
immocum e tempore  erictrac-
tus ejus seu spatium percursum hoc
Loco coincidens ipsi riae seu spatio
generato sive per motum designato
1A2B parti scilicet sectoris 1A e2e co
contenti rectis Ca 1B2A 2B, Si circu
st SA2A, 1B2B; quia Lineae à punctis
deseriptae seu arcus, angusum semper
faciunt rectum ad AB describentem.
Hictractus autem, seu area hujus spa
tii aequatur rectangulo 2 AZ BVel ZA 2A2 B
id est.
contento sub recta AB (extensione mobi
modo
LiS ABCreCt ZA3A5 Si C2AZ A sit aequa
Lis ipsi 1C2C arcui descripto apuncto
rectae AB medio C, seu ejus centrogra
ritatis; itaque Longitudoista arcus
TCZC, seu rectae 2RSR, est Longitudo
Longitudo spatii percursi(per defin. 2.
Cap. De spatio percurso) si jam ponatur
eadem recta pOtTO ex 2 A 2B progredimo
tu rectisineo, ad eoque aequidistributo, et
quidem uniformi, it aut describat rectan
gulum 1A2B, tractus seu spatium erit
ipsum
ipsum rectangusum, et Longitudo.
ejus erit recta percursa ab aliquoejus
puncto A, veL C, Ut 2A2A vel 1C2C
per prop. 1. Dieti cap. De spatio percurso
unde patet Stractus e Longitudines esse
aequales, quae tempore ce quali mobile
uniformiter percurrit, sive motu aequi
Distributo 2A3B, sive diverso in di=
percurrat.
versis punctis ut 1A2B atq3e adeo et
relocirates horumduorum motuum
dici aequales.
por. 4.
Spatia amobilibus suam relociu
tatem retinentibus tempore aequasi per
cursa sunt in ratione composita rolu
minum mobilis cujusque velocitatum
Sint mobilia AB, L.M, quae tempo
ribus aequalibus ipsi F moreantur-
relocicacibus suis Ve C retentis. 8.
percurrant sparia iA 2. B, IL. 2M; ajo
esse spatia, A 2B ad IL. 2M, in ratio
ne composita voluminum, AB adL M
e velocitatum, V’ad C. sint Longitudines
percursae 1C2C, 1N 2N. Constat (per
Defin. 2. Cap. De spatio percurso) esse.
spatia iA 2B ad IL. 2M, in ratione
composita roluminum AB ad L. M, 8