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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 151, page id 00068192:0151
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moretux motu ae qualiter distributoper praecedere
tem) dividi per cas Intel Ligatur in sua eLementa
solida. Inde ducatur Linea quaecunque omnes superficius
Secans; S hujus in rectam extensae punetis responden
tibus inter superficies interceptis, ordinatim appaei
cetur in planorecta, quae sit in ratione composita ex di
rectis rectae abuno superficiei puncto descriptae,
iphiusgelementi solidi,  in ratione reciproca e Leme
lifineae, inter supersicies duas proximat inter cepti. V
tunc figura isogonia producta erit spatio a mobiei
absoluto proportionaLis
Constructio hac est casus SoLuti problema-
tis genera Lis De ductibu 3 prop. 12.
Ut si superficies motum aequa liter distributum
habentes in quasre solvitur solidum motum sine
L. M, N, 8 caS Secet Linea L. MH C, quae extendatum
In reCtEM ARVRS huic in pUNCHSN, M, V. C applicentur
normales AC, MF, VG. sintque interse duae quae cunque exem
pligratia AEad MSi in ratione composita modo dicto;
seu itant sit rectangulum exementare est Madaliud sirev
inratione composita elementi solidi. L. MI A ad elementu
Solidum M NB Frectae Pad id est Linea a punctoL.
Descriptae, ad Lineam a punctom simul de scriptam; erit fi:
gura DESiX proportiona Listractui ipsius solidiu sive
cum asterius solidi tractu eadem proportione represen
tato comparetur, sire partibus tractus ejus dem 3o lidiita
ita ut versi graria tractus partis solidi L. N sit adtrac
tum totiu3 solidi L. C ut figura L. EGV ad figuram.
LF. GK.
Prop. 7.
LrOp. 3
Si mobile sit Linea spatium
moru absolutum est ut area super
ficiei factae per rectas riae cujus q
puncti proportionalez ipsi Linea in
rectum extensae eodem anguso recto in
puncto respondenre insistentes.
Cum enim Fractus sit ductus factus
ex Lineih a puncto descriptis in mobile
ordinabim ductis (per defin. hic) & duc-
tus sint proportionates figurihisego
nis proportionasit er formatis per.
prop. b. 87 de ductibus) habetur propo-
Situm.
Sit Linea mobilis ABC, cujus ex
trema A et C dehcribant Lincaz1A2A
ZA81C2CZC, S punctum.
quodris ut B, describat Lineam 1B2B
ZB fiat figura orthogonia comprehensa
recta ZAZBZC8 rectis adhanenormali
bu3ZADGZCFK; 3Linea GHK. sic
ut ordinata quaeris normalis ipsi
ZR 3B3C, sit 3BF. I et ris puncto-
rum 1A2A, B2B, 1C2C, itemque
1A 2AZA, 1 B2BZB, 1C2C3C.
sint respectire proportionat eh