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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 98v, page id 00068193:0198
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De Velocitate in universum.
tra percursa sunt ut longitudines (per def. 2. de tractu.)
Si ponamus Ast etre recitam qua in plano eodem eademve
locitate servata gyretur circa centrum immotum E tempore)
.C
Lx
erit fractus ejus seu spatium, percursum hoc loco concidens iptu
C
vix seu spatio generato sive, per motum designato 1A2Pd, par
ti serlicet sectoris 1AE2E contenti ratis 1A1B, 2A2B, et cir
calis 1A2 A, 1B2B; quin lines à punctis descriptae seu areus,
angulum semper faciunt rectum ad AB describentem. Hio
fractus autem; seu area hujus gpatii aequatur rectangulorot.
 C
3B vel 3 A2B contento sub recta AB, id est extentione mobi
lis AB et rectae 2A
ly
arcui des cripto à puncto rettae AB medio C, seu ejus centro
gravitatis; itaque longitudo ista arcus 2C2C, seu rectae 2A3 A,
a
est longitudo spati percursi (per defin. 2. cap. dotraitu). Si jam
ponatur eadem recta porro ea 2 A2B proyredi motu rectilinco
adeoque aequidisributo, et quidem uniformi, ita ut describat re
etangulum 1A 2 B, tractus seu spatium erit iprum rectangulum,
et longitudo ejus erit recta percursa ab aliquo ejus puncto A,
vel C, ut 1A2 A vel 1C2C (per prop. 1. diiti cap. de tractu:) Unde
patet et tractus et longitudines etse aequales, quae tempore
aequali mobile uniformiter percurrit, sive mota aequidistributo
2A3B, sive diverso n diverss punctis ut 1A2B percurrat:
atqueadeo et velocitates horum duorum motuum dici aequales
p
Prop. 1.
Spatia a mobilibus suam velocitatem retinentibus
tempore aequali percarsa sunt in ratione compositâ volumo–
num mobilis eujusque et velocitatum.
.
Sint mobilia Adh, LM, quae temporibus aequalibus ipn.
Fig.
move
mo
Spo
n
Sin
Cap
sir
IC
hoc
UI