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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 140v, page id 00068193:0282
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Sperimun Calculi Analyt. pro dhorometria.
23.) Si elemente sint aequalia, seu de constans, erit G
media arithmetica inter omnes g. Nam si omnes de sint a
6
quales, tunc e seu scte nihil aliud erit quam de multipheata
per numerum ipsarum de: sit numerus ille n; et fiet e = na
(6)
Jam sdeq = desque, posito de ette constantem, ea nostri calculi
differentialis legibus; Itaqi hos valores ex aequat. 5. et 6. substo
fuendo in aequ. 1. fit nG
n
(7)
2
Sg; et proinde G est media arith
metica inter omnes g; ducta enim in iptarum numerum n a
C
quatur iptorum summae sg. Eva omnia collatis exoiptio figu
risque in cap. de ductibus ac detractu propositis melius intelli
gentur. Ad eaemplum autem gravitatis speuisicae et extentio
nis etiam in aliis (veluti velo citate ac tempore) procedemus.
24.) Nimirum si elemonti voluminis de pecliaret
habeant velocitates, protractio mobilis n erit = sde D, id ett
=Ve por artic. 11. huc.
(25.) Media autem velocitar V = Sdev: e, quae proinde ve
locitas. V ips mobili attribui poterit, nam si omnes ejus par
tes moverentur velocitate aequiditribata N, tantundem protia
a
etiones efficerent, quantum nunc motu non aequaliter distribut
efficiunt.
(26.) Att tractut ipte in
posito motum mobilis peri tempus F uniformiter durare.
Eous.
27.) Im vere mutetur motus mobilis, et diversis temporis
elementis sive momentis at divensa sit velvectas;
(28.) Func fiet tractus r = esvat, singulis V mobili com
petentibus m sua respondentia temporis elementa ordinatim
applicatis;
(29) Ubi si rursus velimus novam mediam temporis intet
1.
V.
omnes V velocitatem comnunisci, qua s mobile uniformiter fet
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