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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 153, page id 00068192:0153
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Ordinatae ZAD, 3BF, 3CF; itemque
ZADG, 3BE FL, hCFK;  idem fiabre:
spectu alterius mobilis L. M P pro pun-
etiSD, G, E, HL, P, H substituendo F, S, P
F, R, V; ajo tractus seu spatia absoluta
fore figuris orthogoniis respondentibus
proportionaLia; sie tractus, ab 1A, Bin
2A2B; est ad tractum ab 1A 1C in Z A3C,
ut figura 3ADE 3B ad 3AGK 3C; et
tractus ab 1R 1C in 2A2C ad tractum
ab, T. 1N in 2I. 2V ut figura Z A D F3C
ad ZL PRSH; V tractus ab 1A, C inZA3C
ad tractum abIL. 1NV ad 3Z. 3N ut figura
ZAGK3C ad figuram ZL SVBH. Pro
orthogoniis substitui possunt figu-
ralsogoniae quaeris, modo in omnibus
ordinatim applicatis semperidem an
gulus servetur. Necrefert Linea cur-
ra durante motu in rectam extendatur
an sit rigida, modo in rectam ex bendi
deinde fingatur.
Prop. 4.
Si mobile sit superficies spati
um motu absolubum est area socidi
facti per rectas superficiei inpeanum
extensae ad angulos rectos inhistentes
in punctio respondentibus sip sis sineio
apuncto
à puncto quoris mobitis descriptis
proportionateh.
Datet ad eum modum quo pracede
Dpost. 5.
Omnis superficies mora constitu
tur infinitis Lineis quarum quae vis mo
vetur motu aequalicer distributo, d omne
corpus motum constituitur ex infinitis
superficiebus quarum quaeris movetur
motu aequaliter distributo.
Constitui dico non componi, sequ
tur ex demonstratione proposit. 12 de
Ductibus.
Sic Si Cylinder L. moveatur circa cen
trum C, constituitur ex infinitis superfici
ebus cy Lindricis concentricis at L, M H,
quarum quaeris movetur motu aequaliter dis
tributo, itaut nempe ejus puncta simul-
aequa les percurrant rectas Manifestumques
est ab iphis omnia solidipuncta abhumi praetet
quam cadentia in auem, quae nihie solido
homogeneum constituun
Prop. b. problema 2
Exehibere figuram planam propor-
sionatem tractur mobilis solidi.
Ouoniam solidum constituitur ex
infinitis superficiebus quarum quaeris