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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 78v, page id 00068193:0158
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2
formali
Sect. III. Cap. 1. De Actione Motus et Effectu
portionales sint quantitates materia longitudinibus, erunt
effectus aequales, et in easu aequalium velocitatum et actiones.
Iaque tres libras transferre per longitudinem duorum
pedum aequalis est effectus effectur, vel si aequalia sint tempo
c
ra aequalis est actio actioni transferendi duas libras per hon
gitudinem trium stedum. Quod et ne ostendi potett: Tret
litras transferre per longitudinum duorum pedum sex tuplus
est effectus transferentis unam libram per longitudinem unius
petis. Et duas libras transferre per longitudirum trium pedum
seatuplus est effertus transferentes unam libram per longitu
a
ga
5
dinem unius pedis; (utrumque per prop. 5. hic). Ergo aequale est
duas libras per tres pedes vel tres libras per duos pedes transferre
Prop. 9.
Si eadem sit quantitas effectus in motibus, actiones mo
fuum formales sunt velocitatibus agendi proportionales.
c
Dit (fig. 5.) motus A effectus quicunq B, uti transfe-
cunu ut 2. Et sit rurius motus L effectus d3, priort aequa
lis, uti transferendi tres libras per quatuor pedes, (quem aequa
tem priori esse patet ex prop. praec.) Velocitas N graduum
quorum cunque ut 3; ajo actionim motus A etse ad actionem
C
motus L ut C2 ad N3. Asumantur duo alii motus, unus
transferens unam libram per unum pedem velocitate (2,
alter S transferens unam libram per unum pedem veloci-
tate N3, et effectus transferendi unam libram per unum
pedem vocitur L. Actio motus A est ad actionim motus
(ob velocitates C aequales ambas graduum. 2) ut effectas 33
2
ad effectum L (pir prop. 3. sic), et actio motus  eit ad actio
nem
p
tr
gr.
on
ed
Mm
eAt
C:
+
Ac
no
ta
on