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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 171v, page id 00068196:0340
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ex eo educatur langens LT. ipsi axi
triliner occurrens in T. et ordinata
ex puncto it in rectam rB. C. demittatur
perpendicularis iL.M, e idemque frat
in et ex 2b in 2B2C perp. 2L2 M.
curva A.M. M utique habebitur
transferatur IHIL in 1BiM, et
2H2L in 2B2M sumtis punctis M
in ordinatae BC et ducatur curva
per omnia puncta M. nempe AIMM2M
cuique curo hoc cunva hungenvae ad hanc
ad hujus curruae punctum iM ducatur tangens
1m T. einc non figurae ABrC, scuius
sentrum grav. +L) ad denique per
L ducatur ipsi AH paralleta
ccurvens AB in S. et 1G1C (parall. et
aequ. A1B) in R. erit Carea
area figurae A. BiC ad rectanus sC
B. HL B BM
SiR.B, ut TB ad B M.
et ad harutangens
sit ia figura Trilinea
orthogonia ABC, quaeritur
area portionis cujuscunque
ut A. BIC, A,B2C. per rectam
basi parallelam, abscissae.
ponaturdari cujuscunque portio
nis Enus modicentrum gravi
tatis portionis A1B. C centrum
et. portionis A2B2C centrm
L. E
a
ex in rectam
tur vertiaem ductam basi paralletam
c
ducantur ex L et C perpendi-
culares LH. CG. et in vidinata
BC. sumatur BB aequ. LH per
punota, M. 2M. ducatur curva
ajen
ipsi AG. ajo fote figmmaream ABC ad rectam EBCR
ut est TB ad B M. nempe AIB.C: 1SiBI CiR a: 1TB: EB. M.
itemque A.B2C. 2S2B2R2R:: 212B. 2B2M.
el. accurret axi A in T
pert. ducatur SLR. occurrens ABC et CG in R. Parallela A