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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folio 32v, page id 00068160:0064
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33r); this page is its left half.
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Cop  actione et Actio semper contraria est reactioni, et corporum
duorum actiones inter se semper sunt aequales et in partes coptrarias tiriguatur
si digitos lapidem premit, premitur digitus a lapide, si equus lupidem trahit lapis
quum retrahit nam funis, utrenque tensus suo relaxandi conctu aequaliter fumer
equim igit versus lapidem, et lapidem versus equam fautumque impedit progressum
Hinc
nujus quantum promovet progressum alterius: Mutationes, veloritatum in contra
rias partes factae, sunt corporibus reciprore proportionales
Explant corpus si agaturvi AB et AC ibit vi Ad (malo dicere
sconatu). (+ sed non explicat quomodo moveatur corpus si debept
ire vi AB, AE, AC
Nempe ibit per ceutrum gravitatio
perae pretrum eut investigare qua
linea moveatur corpus, si simul lonetur in quolibet radio ex A ad curvam
BEC ducto pateliex pincine mereematurum ess in recta bjecunt angulos
bisecantium biserante num quae recta ensii trransuli per verticem bisetat
etiam angalem verticiis bisecat ostendi nscilicet alia scheda
sit recta sunt tres conatus componendi AC, AE AB separata
frrectionem ex omnibus compositont endepe ad centrum gravitatis
latiocinatio Neutoni quod nihil mobile ex A, tendens ad , aeque snon majori qua est curve) in maximam altitudinem vel mald minor est
curvee, aliaque pulchra ea occasione inveni
dabito autem artis nostris demonstrationibus intellectis de feadi posit
D
locitem
pls
avis in Nc,et parae
necesse
e ad eperveniat ut unte neo
e
pu au hoc sit
neque apparet quomodo hoc applicabile ad
ositionem ex tribus conatibus. Illud considerandum, si tres concitus
 DA, DB DC compositi deut lineam DK, posse duci per H parallele
ipsi De occurcentem ilsi AdA in F, et aliam per K paralleta
ipsi DA occurrentem ipsi de in G. idemus ergo est ac si
duo essent conatus  DF et DG. similiter si KH parallela dB.
et KL parall. DH, et H sit un DC, et in L in dB si opus preductis, perinde
erit ac si  conatus esset compositus in DH, et DL. sed ex DA et conatibus in dA, et dB
sumtis hon poteston poni conatus in da quin non cadit Dk inter oA et DB. at nta
in extremis res semper succedit
grantitas quantitasmotus quae colligitur Copiendo summam Motuum in
easdem partes et differentiam ad contrarias, manet eodem. (rectius dicerem: sumimam
progressus esse eandem non motus.) Nam cum actioni aequalis sit reactro aequales
in mulbus efficiunt mulationes versus contrarias partes. ergo summa ad easdem
partes eadem manet quae prius. Se (tostendendum est prius aestimanda progressu
vim, a quanliente vim actionis et reactionisse per quantitates processum progessum
vel regressuum exerere, revera se exerit per quantitatem recessus a se juvicem