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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 391, page id 00068191:0391
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in solido institui potest, ubi unus conatus potest
resolvit in tres ad tria plana angulum rectum
si placet, comprehendentia normales.
et in A concurrentia, normales.
prop. 1. 19.
si puncta conatuum repraesent
ejusdem puncti infinitorum
repraesentatrices rectas terminantia
cadant in quendam locum extensum, tunc
 exit erunt com erit conatus directio conatus
inde compositi in  directione tendet ad
ad centrum gravitatis loci
magnitudines vero talium onatuum
magnitato vero conatus eris in ratione
composita distantiae
loci a punctis conantibus et
si magnitudinum
magitudinis ejusdem loci cujusque loci
t
sint puncta conantia A et L, et
puncti conatus punctum A habeal
tendat ncn et conatibus infinitis AB
termm: icu tendat ad unumquodque
ex punctis A B, linee BB, in
Eat in ratione cujusque rectae AB
similiterque tendat  conalibus
omnibus LM sit loci BB
(2
Centrum gravitatis C, et loci MM
centrum gravitatis b, junque dico
esse punctum A revera tendere versus C,
det punctum L, versus G. sed nisum aut conatum
ipsius A fore ad nisum ipsius L in
aut conatum ipsius L in ratione composita
AC  ad LG et loci AB BB it
eB
(29.)
ad locum MqM. Nam omne si sit linecrecta fracta
polygonum aequalium laterum. aet
idem esse centrum gravitatis hujus se
linea, quod est punctorum mediorum cujusque lateris
nempe P, G, R. Unde idemque verum est numerum
utcunque multipli cando, donec polyssona abeat
in curram. Unde quae demonstravimus
in praecedenti de centro gravitatis
punctorum, habent locum in centro
gravitatis ipsius lineae, quae semper
ut in aetho latera ae Eademque et
ad polyedram superficiem, et
imo et ad locum solidum produci
possunt, si scilicet hedrae aequales
aut in superficie, aut cubi aequales
in solido assumantur, pro quibus deinde
eorum puncta media seu centra sb
su gravitatis substitur possunt