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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 47v, page id 00068193:0096
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Sect. 1. Capo 3. Do Purtibres
ordinatim applicata, ut F. X, vel G0, terminis scilicet ceriet
respondentia; sed partes rectae F.M, ab initio aliquo sum
ta dicantur Abscissae; ut si H. P sit ordinatim applicata
respondens termino serieu; side erit abscissa, qua pro-
portionalis erit numero exprimenti, quotus in serie sit
terminus, si ponatur recta applicationes recipiens uni-
fonmiter crescere ab si versus M.
Prop. 8.
+
Derie m seruem ordinatim ducta, ductus est. propor-
tionalis solido facto ea duabus fegurio. Utogonys, quarum. or
dinatm applicata sint terminis serierum respondentes.
Ut si grave supradietum (inprop. 7. fig. 9.) AE, non tan
tum gravitatem specifieam augeat; quo magis ad fundum E
a1 C
accedit, sed et ubique varias habent crasities, seu magnitudines
sectionum factarum per plana fundo parallela; Patet secti–
onum magnitudines ducendas ordinatim n gravitates spe-
cifieas. Sit jam Logonium C
n
Vel
2)) CC) (B) (n Fig. 10.)
cujus ordinatae ut (K) F) sint proportionales gravitatibus spe
eifieis in sectionibus gravis respondentibus, ut C, si scilicet
abseissae (8) (K) sint.
Et eodem modo sit iogonium (∞,
(2)
5
L) (B), eujus ordinatae
ut (k) (G) proportionales sint magnitudinibus sectionum. gra-
vis respondentium ut n C, eritqi ductus solidus (S) (5)2)
e1
li
)(2) (5) (S) (M) proportionalis ponderi totius AE. Singulae enim
3
sectiones gravis m suas gravitates specificas duetr representantur
rectangulis vel aliis parallelogrammis Vogonys ut (G) (21 X(7)
quae in pantes iptius rectae (B) (P) respondentes ducta constituunt
fotidem par allelepida isogonia ut (3)
aut (5) (N), componen
tia ductum solidum ut sectiones gravis componunt grave; Pror
Jus
30.
ur
t
esst
gra