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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 132v, page id 00068193:0266
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De Franslatione s. Effecta motus form
nem mobilis factam ea velocitate simplici e m volumen
Ex, coinudetq in casu cesantis denutatis pratractio seu im
S
petus restrictus cum impetu mobilis absoluto: et AD vel
BC non significabit amplius velocitatem ex altatam medi
am, sed velocitatem (simpliciter) timporis mediam, qua
duita non in mobite hoc ett in molem vel volumin Et dat
C impetum restrictum temporis medrum seu protractionem
temporis mediam F in catu cessantis densitatis coinudentem
cum impetu temporis medio; et figura 181G3G3E vel aequa
et rectangulum ABCD non ex hibebit longitudinem percu
sam eaattatam, sed simpliciter (6) longitudinem: a mobili
percursam, factam ex mobilis velocitatibus EG tempori
AEB ordinatimo applicatis vel etiam factam ex velocitate
motilis media BC in tempus As ducta, coinudentum jar
cum longitudine translationis, si cesset denstas. Et postre
mo solidumo 2E1 F1 A1 G3G3H3E seu aequale ei solidum recta
gulum Add CD L1= 3F repraetentabit (y
seu tractum, factum ea Et eH protractionibus seu tracta
dpe
c
Elementis tempori ordinatim applicatis seu e ductu pri
fractionis mediae 1ED L1F in tempus AB, vel ex ductu lon
gitudinis percursae ABCD in volumen mobilis es; et ita
et iprum spatium percursum in easu cersantis dentitatis
seu molis cum volumine coinudentis, coinudet cum trans
latione seu quantitate effectus per motum toto tempore
producti.
Prop. 9. Bet. 2
-0 H
Idem est, factum ex velocitatibus singulorum mobilis
punctorum in volumen ordinatim duitis, et factum et
velocitato mobilis n volumen; et hoc factum dicatur
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