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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 14
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subnectemus
tentatam
subjiciemus modmo quo putamus unum quodque planum solutionem casus ab autore speci
minis propositi, seu hmomentum quo utrumque planorum inclinatorum
quant determinationem momenti quo unum quodque planorum propositorum
angulum rectum facientium premitur. Quoniam id nondum videmus exp
mum
p. 512
paliter ac
Adm. Rev. Rochanskium cujusin
4) Demonstratio Geometrica regulae apud staticos
proposit de gnglobo Neceptae de momentis gravium in planis inclinatis
de  in ACTS Novemb. 164
angulum dit planum verticale Ad B  et inclinatum ACE
duobus planis ctegi
facientitus
quantum
t in
ut ita  autorem speciminis alisqo ad argumentum hoc porro illustrandum
itsolutio cosos invitemus
rectum
incum
benre
et in illo descendere tendat grave B, in hoc grave C sint
et in aequiobrio
autem gravia connexa fune BAC angulusque ABC sit rectus
et gravia eam inter se rationem habeant, ut sint in aq
aegublibrio. Ajo fore grare B ad grave C, ut recta A
neunoru AB ad rectam AC. Quod sic ostendo: Funem (qui gravitate
Carere intelligitur) manu prehendendo in C trahiendoque grave
C deorsum in E, adeoque simul grave B sursum in D (quo
facto aequales erunt CE et BD) patet aequilibrium quod
proinde
prius erat inter graviamanere nec 
Hum
eorum centrum
an
gravitatis commune attolli vel deprimi.cumque gravium
in situ B C centrum gravitatis esset in recta BC
d.
horizontali, in ea manebit, non obstant hac gravium
transtatione quae ipsa in aequilibrio relinquitu cumue r
centrum gravitatis commune esset
in recta BC,  ideo eorundem centrum in situ D, E, manebit
tume
pta
Et cum gravium s
Geometria ostendi potest Lemma facile nec injucundum, si sint CE et BD
in recta BC; eo
H puncto infese
aequales, fore DH ad HE. ut AC ad AB. (de quo mox). Est autem etiam
grave E (sive C) ad grave D (sive B) ut DH ad HC, quia H estcentrum
aequilibrii eorum. Ergo erit grave C ad grave B ut AC ad AB quod asserebatur
idem aliter etiam sine assumto lemnate illo Geometrico ostendi potest
si grave B alsollatur usque ad A, seu Si (D) incidet in ipsum punctum A quo
enim
casu (2) aequalis BD) erit aequalis BA, et (H) incidet in C, OF (H) (D) coincidet
et
seu
oqe utun tu
ealu tronslatorum
 aequilibrii ac proinde (E sive  ad B sive A ut AC ad C (E) sive AI
que
placet tamen ipsius propositionis Geometricae supradictae demonstrationem
Lemma: omnium friangulorum angulum coincidentem
et summam laterum circa eundem angulum aequalem habentium bases a basi
subjicere.
uniue exipsis ejus triangule  rect in eadem ratione secantut
ie suti cet est ratio laterata i anrguti slagti positotita corea argutum otra 
sumul
unum quodue
premat
ocutore
GG. L
dum een
gantes meditationes
habentur
 nec m
ab illis pur
fievari vec
limpedir