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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 127v, page id 00068193:0256
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De Translatione S. Effertu motus form.
PEop. 4.
5
Translationes seu Effectus formales m omni motu sunt
in ratiope componti mobilium et longitudinum translationis
Translationes enim qua cunque propositae (fiq.
DiB A2A
et 1D. C2CZD sunt inter se ut translationes aequidistributae ipt
respective) aequales 2A3B, 2C3 D. Et translationes aequidissi
butae 2A3d et 2C3
du
pose.
sunt in ratione composita mobilium A.
Dicarsarngr
ad CD et longitudinum, 2 A 3 A et 2C3C, quae percurrenda essen
motu aequidistributo, ut trantlatio aequidistributa ipsi prosio
sita possit etse aequalis (seu ut translatio 2 A 3 B aequalis sit
ips 1B1 A2A 2B et translatio 2C3C ipsi 2 1C2 C2D.) sed hoe
longitudines 2A3A, 2C3C translationum aequiditributarum
2A3B, ZC3C propositis aequalium, sunt ipsae longitudines trans
tationum propositarum (per def. 2. huc). Ergo translatio
nes sunt in ratione comporitâ mobilium et longitudinum
franslationis.
In Numeris et exemplo ponatur in plano sempen eodem
Fig.
)radius Aß centro B transferri ea 1AB in 2AB
et radius DC ea LCD in 2CD. Et franslationes erunt ut secto
res circulares B. A2A et DC2D; sirq aequales translationes
aequidictributa erunt ut rectangula tio sectoribus aequalia A3
d
et 2C3D, posito altitudines ete mobiles rectas AB, CD, et baso
c
seu longitudines percurrendas 2A3 A, 2C3C esse dimidios arcu
12A et 1C2C: et 243 A, 2C3C erant longitudines transla
2
tionum B1 A2 A et D1C2C (per def. 2 hic). Si jam sit mo-
Si
bile Cd duplum mobilis AB, et ipta 2C3C (longitudo trans
lationis DIC2D) tripla ipsius 2A3 A (quae ert longitudo tran
lationis Br A2A) erit translatio DC2D seatupla translatio
nis Bi2 A, quemadmodum aequales trantlationes aequidistributam
M
llam
Y
in ea
carte
deset
+
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um
tem
et
qu
vel
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iu
tra
bilius
tita
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ap
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ny