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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 27
# Folio 2v, page id 00068152:0004
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dubium
et quasi reciprocationes materiae esse, ubium nullum est, salvo aequi
librio summae. Ut autem vis hujus naturae legis melius intelligatur inspi
ciatur iterum figura: sint corpora quotcunque cujuscunque magnitudinis aut
sigurae quae moveantur aut quieseant ut B, C, M, N, S, Q, dlucatur recta
quaecenqe AA dico in alter utram plagarum, A vel H, quae detracto con.
trario conatu praevalet, eundem semper in his corporibus in summa nisum
fore; et quidem corpora M et N ponantur moveri in recta parallela ijosi AH
ipsius M moles sit Z, celeritas qua tendit ex 1M versus 2 M seu versus plagam
H sit 9; quantitas directionis ad H erit 18. Contra, corporis  moles sit
4, celeritas qua moreatur ex 1N versus Z N seu verrus plagam A sit 3
quantitas directionis ad A erit 1Z. Zuod vero altinet corpora B et C’etsi
moneantur in recta FC quae non est parallela ipsi A H directio tamen carum
in plagas A et H ita cestimatur, posito B tendere ex 1B in ZB celeritate
1B. ZB ut 9 duvatur per 1B recta 1BF parallela ipsi AA cui ex 23 cclucta
2B7 ad angulos rectos occurrat in S, fune celeritas in qua B tendit ad
plagam A aestimabitur magnitudine rectae 1B. F quam ponamus esse 8 moles
autem ipsius B est1 et quantitas directionis ejus ad plagam A erit 8. contra
si 1C. ZC ponatur 1 erit 1C. L (parallela ipsi AH), posito angulo 1C L 2C.
recto et quia ipsius C moles est 1 utique quantitas directionis versus Herit 8
dimiliter corpora P et Q licet moreantur in recta non parallela ipesi A H, dit
sitamen  ipsius s celeritas 16. Z S sit ut 3, et ipsius Q celeritas 1Q = Q ut
2, ductis ipsi A s parallelis 15. R et 12.S sio ut anguli 1PR, 2 et 1 S sic ut
ne
anguli 16. R. Z P et 12. S. 2s sint recti, et d R, et 12.5 164 itaque posito
molem ipsius L’esse s erit ejus quantitas directienis versus Hl, 4hin 8
seu   et posito molem ipsius Q esse 3, erit ejus quantitas directionis
e
verrus A, 3 in 16
7
in plagam Hl erit 18 + 8. , summaqlirectionum in plagam contrariam Aerit
12 +8+  et ab illa hanc detrahendo restabit 8 quantitas directionis totulis in
in recta Ast et parallelis tendens in plagam. H, eaqe semper manebit eadem
utcunque haec sex corpora motum communicent abque inter se concurrant modo nullui
externum accedat. semper enim erit perinde quodd directionem ac si libra
plasam 
ut1 celeritate ut e feratur versus in parallela ipsi AHL et secundum
hanc cestimationem etium continue moles horum sex corporum versus plagam AE pro
movebitur; in summa scilicet, licet particulatim considerando, aliqua minus
progrediantur imo contraria directione ferantur.