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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 429v, page id 00068196:0854
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Transferam, jam hanc considerationem
ad curvarum, et consideremus, momenta plemen
lorum ex diversis axibus conferri posse ductibus. At
Sit Trilineum AXYA, in quod ducendum sit aliud trilineum AXZA
Transferatur XZ quodlibet in XV cadentibus punctis AV
in rectam AX, patet ductum eX AXZA in AXYA. id est
idem esse quod momenta omnium rectingulorum velut 1Y2X, 2Y3X,
3Y4X, tanquam ponderum, libratorum prii ex. V, seundi
ex 2V, tertii ex 3V, vel quod idem est ex Axibus rectam XAV
secantit ad angulos rectas sectantibus in V. jam ex ostensis
si pondera 1H2X, et 2Y3X, 3Y4X, respective transferantur
ad 1N, 2Y, 3V, et ita Sitorum centrum gravitatis sit s: r
centrigravitalis projecti in rectam AV sit 5. Isiu
autem figurae AX YA tentri gravitatis in rectam AX
projectio irit mementum figurae AXYA ex S, aequalis
dunctui seu summae momentorum dictorum. Vel si
figurae AXY A centri gravitatis prajectro in rectam AX sit X
luit SX in AXYA aequalis ductum vel sum mae
momentorum. X Z _ vel XV vocetur  AX
AX ocetur X. XY, y XZ vel XV sit Z. AIV, B
V AXYA est (ydx AK = sXGAX: Sydx
AV est Z. x v est Z-X,) Erit A5 = ((Z. y2 ydX: sy a
et SK = AK + SA + AK = szVo =  XydX + Sugax
Cydx
= (Z ydex. . Ergo S k. (ydX = SZytx. et ita
habemus confirmationem Theorenatis nostri Nam
Sydx
quod chiculus ete centrobargeo diduximus etiam
o chrculus ostendit. Sed nihil tunc difcimas novi