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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 11
# Folio 17v, page id 00068056:0034
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Aduussa interum hac hypothesi, quod eit infiunta vis uppensa
adhuc in Ahoy, minus ponderis caterae deducat, quam ipsa latena sola sequem utique
B esse centrumgr. calenae, adeoque posse semper dari data ejus magnitudine
hinc jam facimnus calculum. sit AB v, et BC, y. fiet Aex
curva AC = (Fartdu = C A et fiet BA = S75 Tar rdy-y
et BRF.
R BR.. sed BR in C2 est momentum curvae AC ex basi CB
bis
et fiet SA +di in V Stavtau -yr = mom. AC ex CB
Juim momeatum AC ex CB habetur, si ab AB in AC, detrahas
mom ex vertice seu (v idverdu
ergo fre
+(Sdv+ dii in FF5 Sdr + dus -yt = (Sdo + du in V-
Sdv + au vocetur ( deo et fiet : co sco -y = ved - (vdco
2s
 c0 - yt deo +d 1odco - ydy: Sco - y = (v d e0) + co dv ( v de
fiet L co deo = L y deo + = cd deo - 2cydco = eo sio -y deo
unde
seu
vel L co Scor- yt = (eo dv se Edidutem vel 1 co+ co-y = (co deodus re
ort : tco- est deo + LCo codco - ydy: sco - y = co Sdes - dus =co av = (0 dg. 1)
seu  co-y deo + L Co co des +i lis - 2coydeodus: co - ist +  Codes -y deo dus
seu vemus.
H
codeo - Co dysq
4C04 y deo (- = cos deo + L Cot de + Co y des-(  ydodus
e
(+ L co dco = = Co y d co di - 1 c0 5 did; + = co  dco dis
 2
=(Cot deo) - cot dus (= co ist deo)  Co is dy
H
seu y deo - 4 cohy deo dy + 2 co 1 deo dys = - 4 co dus +3co y dys
y dud + 4 co dus f 4co y dydio = +4W0 y dys dio f 3co 9 du + 4 c y dcodus - 2Coy todus
doB deo: dy = 4 fiob y9 - 4 coy 9 + 2c05 9 = - 4c + 3c0 yt
seu qel . 100:y19 = - +c0: 
+ 36:y2
sit co:y = r fiet
+r6-+r 4r= aY + 3Y = 4r - dr + 45
qE - qnq = - 4r. seu 9 - arr 9 + 1br 2161 , 1Y - (4Y 4Y et (4Y + 3r ni gr
2
+26: y5
+ 2Y
seu 4- rrer = _ 2rSi -Y seu g- 2r tar 4 rr, posilo q- dev: dus et r= C0: y
+372
+ 2Y..
unde ces est reducibilis ad quadraturas sed seu q- errtr = 2r24 2Y. adeoque
 q = f2Y +2rr  42 -1 Y posito g= aco: dy et r = co: y
unde haberi pt saltem per vadraturas curva, inqua  cosco-y = 2 sed do
posito esse cd= se foro Sidv + dy