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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 46r, page id 00068193:0093
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Sect. 1. Cap. 3. De Ductibus eto.
Prop. 1.
Si mobilia sint proportionalia ductum recipientibus, et
itates spenfica ducendis pondem erunt ut ductus.
Constat ea definitione duitus; ut si corpus A in diverus suis
punctis varias habeat velocitates, et velocitates ordinurim ducn-
do, quaeratur integra quantitas motus, quam habet conpus A, idemque
contnuat in corpone B; Dico si loco velocitatis unum quodque pun-
t
ctum horum corporum (aut propontionalium) poneretur recipere
gravitatem specficam proportionalem ei, quam habet, velocitati.
al
fore quantitatem motis im corpore se ad quantitatem motus m
consore B, ut pondus unus A ad pondus, ipnus B. (per def. 1:)
Peop. 2.
Si absolute ducantur duo in se invicem; quantitas ductus
erit ut numerus, faitus ea numeris quantitatem ducendorum
expumentibus, marcem multiplicatis; unitate duitum actiman-
te seu mentura, existente ex, quae, fit ea unitatibus. ducendo-
rum muicem ductis.
sit mobile trium pedum cubicorum ducundum n gravi
tatem speufriam duorum graduum; (quod est unum maliud
duci absolute, per def. 2.) et unus pes enbieus gravitate prae-
ditus, unius gradus, sit unuus (si placet) librae, adeoque pes gra
s.
vitate durrum graduum praeditus sit duarum librarum; ma
nifertum ett bis ter repeti libram, seu pondus fore librarum
sex; et quod in ponderibus, idmom alys quoque ductibus intelli-
gendum etso patet, ea ductus definitione
Feop. 9.
Si abtolute ducantur duo m se morem, duitus ett m rati-
ao composita eorum, quae ducuntun.
Inrationitus commensurabilitas, patet ex precedenti; nam