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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 94r, page id 00068193:0189
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di
at
13
ra
1b
Na
enes
2d
est
a
vet
ee
um
non
m
100)
De Tractu seu spatio etc
G. c
connituitur ex infinitis superficiebus cylndrias concentricis ut
L. M, N, quarum quaevis movetur motu aequaliter dictributo, ita utnum
pe
paneta simul aequales percurrant rectas. Manifertumq et
ab ipsis omnia solidi puncta absumi praeterquam cadentia m
es
auem, quae nihil solido homogeneum constituunt
drop. b. Probl. 1.
exhibere figuram planam proportionalem tractui mobilio
solidi.
Quomam solidum constituitur ed infinitis superficiebus,
quarum quavis movetur motu aequaliter distributo (per praeced.) divi-
6.
di per eas intelligatur in sua elementa solida? Inde ducatur
a
linea quaecunque omnes superficies secans; et hujus in rectam exten-
sae punctis respondentibus, inter superficies interceptis, ordinarm
applicetur in plano recta, quae sit in ratione compositâ ea directis
-
e
(
recta ab uno superficier puncto descripta, iptrasque elementi solidi
f. C
C
et in ratione reuproca elementi linea inter superficies duar pro-
armas intercepti; et tunc figura irogonir produita erit spatio
s
a mobili absoluto proportionalis. 
Constractio haec est Casus soluti problematis generalis de
ductibus prop. 12
Ut si
Fig. 146) superficies motum aequaliter dictributum
habentes, in quas resolvitur solidum motum, snt L, M, N, et eas
secet linea LM NC, quae extendatur m rectam d, pe, V, 30, et hunc
im punctis A, pe, v applicentur nonmales AE, C F, VG, sintque inter se
M.
l
oure quaecunque exempli gratia AE ad e F in rutione composita modo
2C
c
G.
dicto, seu ita ut rectangulum elementare Ed pi ad aliuo Fper sit
C C
in ratione comporita elementi soldi LMA ad elementum solidum
MNB et rectae P ad Q, id est linea à puncto L descriptae, ad lineum
a puncto M simul descriptam; erit figura AE F X proportionalio
tractum