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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18A
# Folio 44, page id 00068191:0044
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propositio 5
Si duo quae in se invicem dicuntur
sint unum ut basis alterum ut
altitudo, ductus est ut figura superbasi
ejusdem ubique altitudinis
Uttiesiate du ertobrliae C et M
utd Ut si sit mobile Lad mobile
Aea ut basis AB ad basin DE, et gravitas
specifica mobilis L ad gravitatem specifia
mobilis M, ut altitudo AC ad altitudinem EF
erit pondus L ad pondus M, ut figura 
ABC ad figuram DEF. Nam ut ductus
sunt (per prop. 3.) in ratione composita
eorum quae invicem ducuntur. ita )
sunt
et figura in ratione composita basium et altitu-
dinum.
parallelogramma vel
Tales figurae sunt vel planae ut rectaegata ve
solida ut paralle lepipeda, columnaria aus cylindrica
ri propositib 6
series in, recipiens
Si pluriume unum cordinatim aliquod recipiens
ducatur, Ductus est ut figura
scalaris composita ex rectangulis
tomnibus
factis dactue cupasqee raa per sportionalium
euscex pluribae i partem crectae
recipentis propertiae nales p
quatum lateraccia barce sint ut
quorum altitudines sint ut termini
ipsius seriei, bases vero utegeates
 sunt partes rectam constituentes,
proportionales partibus recipientis
Nam si gravis AE partes AB, BC
CD, DE sint proportionales rectae FM
partibus respondentibus FG, GH, HL, LM
et utraeque partes sint constituentes sui totius
sintque. ectae FN, GO, HP, LR proportionales
gravitatibus specificis partium gravis, AB, BC etc.
erit (pereren +.  rectangulum quodque ut NFG
proportionale ponderi partis respondentis ut AB
gO et FNOFRSM. figura scalaris ex
Aumso Xo iC
ctite
ooi
200000
.--
omnibus rectangulis
composita, ipsi ponderi
grabis AE proportionalis
erit
propi. 7