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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 82r, page id 00068199:0163
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quostropracta
angenerum invers
cen
ucchove
eb sale
asrtosus ammise bindi Mecharicis
sconit ergo ib anis ad 1eometria
Trabs ubique aequaliter suo peanteri resisitas
quaeritur quae sit ejus figura sentinea AGC
Resi stenta in e8 ab resistentiam in BA es ut
e
quadrumm CGad quad r. BA. Ergo mocutum
portions  tratis CFGC momentum ex D
es A momentum ex BA etit
debet esse ad integrae trabis CBA
ut qu. FG ad qu. BA. S
CF nocetur X et FG y
posilis X aequidifferentibus) erit y - byas. sibys = XC
l
et2
erit sy = X: et1. et 1y = X: et 1. C+2. Ergo fet
e
Quae dividi potest in duas
e+ 1. C+2 = b. tC
et 2
ua
b = 1: C710CF2 et xet
re seu e+ 2=2C seu Ca2
unde b = 1: 12 positu latere recto unitate
At difficilior est solutio si trabe ponatur praetereaonere
gravata per eam equaliter diffuso, quaritur qua
resistat hats det suo
oneri et pondere imposito ei sit q ponitur graratas spccitica
firira esse debent ut aequiitem
s
oneris eadem ponatur onu umulari it aliud quod ejusdem sit
cum imbe gnpvitatis specificor semper enim comparao
et tunc abrigudinem fore s
iastitur poces
u
De seua. Ergo tohignatis
 tolum ex
e Cdo
EeG est _ = a XX. at Habis et oneris seu totius CdEGC momantum 
migenem
aeris idra
ex EG est axx +Ny qua debet esse proportio nale resistentia
Let erit Bynta
ut ry quoe est in sola trabe circa 2.
y + L axx. aequ. byy. Hanc aequationem.
pummatricem ita solvo.
verte
y + Mx erc