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# Title: Leibniz-Handschriften zur Physica LH 37, 3
# Folio 62r, page id 00068532:0119
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068532&page=119
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.90
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de pondere in plano inclinato per
trachium
horizonti obliquum in stateram
igente
Ponamus  pondera ita esse sito in HerG
 ut H, descendente ad sin plano inclinato 
staterae
s
et transferente, brachium AH in AS, ad eoque _ machium
AG in A) attollatur pondus perpendiculan ter ex Gin 1
quaeritur quae debeat esse proportio ponderum
et in H et G ut sint in aequilitiio ducatur s+
horizonti parallala et in eam demittatur perpendiculais 
Cum sit, utique debent esse pondus in H nempe O, ad pondus in G
nempe D, ut reciproce ut descensus, id est directe C ad D ut Gi d Hs
M. uesy
ut GI ad 3T. porro datur ratio HT ad HP y
datur  et natio Hr: E5
vatur ratio A) ad FS nempe n. Et ex Ex 1agatur1 (B nornalis
a
ex Sducta se mormpli in AH
in AG. Eut A 5E. A5 6 Ob tiangula
quia angulus
G1A_ GAI est aequalis angulo HAS erunt triangulat AES et AβEI
similia, et ES: (1: AG: AI. jam si de initio descensus agatur
sunt A+a AS vet AG AS AY:: AH: AG. sit ergo
jam β1: 1G: AC: AG. Ergo demum antur componendo
erit HT: G1:: mn A. AH AC: A2 A AG.
Jam e
jam n seu HS: ES est: A H: Ad. Ergo fiet e niq.
HT: GI  seu pondus A ad pond:: n AH. AC: AG2. AD.
rectum
obliquam
sit aequilibrium erit pondus D ad pondus O in tacione
Composita sinque complementi anguli inclinationis plani ad radium
x
et
directa
AC directa (AC ad Ad) perpendi cularium ad directiones ex
entio et (AH ad AG) reciproca dup licata brachiorum.
idem aliter investigare tentemus Verum Ducatur
jam 1E paralteta ipsi HS erit triangulum AIE ad triangulum
cum triangula AIE et AHs sint si ducatur 1E ita ut sit
angulus AIE aequalis anguli AHS, er unt trian gula AHS AIE et
de ArS similia at trianu uta similia sunt in ratione
uplicata  homologorum laterum, ergo Ariangs. AIE, id est
in initiis) riangulum AIG est ad triangulum AHS ut AI hoc
A. (in initiis) AG? ad AH sed eadem trianus uta AIG et AHS
sunt ut AC in 1G ad Ad in HS. Ergo denique fiet 1G ad HS
cun ratione composita
quod consentit prion.
AG2 ad AH et A recipooca Ad ad AC
Non ergo verum est momenta ponderum
in ratione pondera in plano inclinationis des hoc modo
descendentia (ut brachia impellant quibus affixa non sunt) imminata in ratione
ineteuntions eatheti ad hypoteune
perpendicularium excentro sp A ad rectas directionum
quod mirum.
Hic casus proponi
potest peritiam
mechanicam
jactanti.
figura haec melius in fine
5
pagiat versae