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# Title: Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5
# Folio 91v, page id 00068534:0178
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motuum arcanum tandem inveni:
n
et ejusm omnas
sint duo corpora, B. D. aequalis inter se et cum tertio A. quilita in eos
inccurrio, ut tres corpora (A). B. D. Constituant angulum rectum, et uno adhuc tat
accedent, complerent quadratum, cujus quadrato diagonae angules in eorum
centris ablas cujus quadrati diagoualem faciat producta A(A) patet
si corpus H qua globum e quasi duobus motibus venisse ponamus, uno it
ipsum suno quide
qu.
( E(A)
altero AA) posito A(A) esse diagonalem quadrati FE
mota porpulsum corpus D in ((DD ceteritate D(D) a
altero corpus B in (B) celeritate B((B) aequ. F(A) H unde augetur
quantitas motus quis enim non videt ob aequalitatem corporum quantitatem
nempe at ut sum latus duplicatum quadrati ad dingonalem.
Verum qua m. lifice venit, ut nihilo minus eadem mancant vires
quia eadem manebit  manent quadcata celeritatum in corpora
ducta id est nam quadiatum a diagonali, aequale quadratis duous
laterum simul sumlis. Hinc etsi A (A) recta u linea motus non fuisset
diagonius quadrnti D, () B
sumen res successisset, quanquam alia hatione
quia in omni para llelogrammo rectangulo summa a quadratis docrum
laterum conjugatorum aequalis quadrato diagoni. Ideo in omni
parallet proposita
fingi, potest,  salvis vitibus corpus ferri
nguli cujuslibet, cujus diagonium sit recta data.
mota dia parailelogia
Hinc mirifica elici potest speculatio. si quamlibet rectam
quae latus est par
e cursus alterius unius rectanguli misus diergonivur
facius alterius rectanguli et ita in infinitum, illis tantum exceptis
sed him facile colligi potest conside
randum esse rectangulum aequilateu
ABM, et finuendum quali corpus cenderet
a B versu A celeritate B Ac. ANC, M A
et retrosum lenderet
determinatum est autem quae sit ratio BL (quae in ipsam BA, sed
de erminavimus quam
(13)
lobi
ompositionis
B
N
H ipsum autem
ob aequalitatem
amittet suum
et quiescet in locop, motus quae fait postictum majorem esse quam quae erit fuit ante ictum
contrario conatu rursus incidit ad ipsam B e
possit salvis viribus. Qua varde paradoxa inquisitio est. Sed
hinc etiam patet, quasvis alias motus compositiones, salvis
viribus not posse admitti nisi recpse duplices impulsus depreren
dantur
sit conatus in aliqua recta, et quibus conalibus prorsum et rebrorsum
compositus intelligi possit in eadem recta compositus in telligi