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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B
# Folio 77, page id 00068192:0077
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C
LrOP. 10.
Iniisdem mobilibus uniformiter mo
tis, coincidit. Longitudines esse ce quales
et velocitates esse temporibus reciproce
proportionates.
Datet ex prop. 8. vel 9 Nam-
quia velocitates (3) 8 (2) sunt in
cex directa
ratione composita Longitudinum
686, et reciproca temporum (2V
(per prop. 2 hic)  Longitudines nune
sunt aquates ex hypothesi, itaque
demta ratione aequasitatis erunt
velocitates (3) 2 (2) reciproce uttem
pora () e (5) seu erit velocitas
(3) ad reLocitatem (2) ut tempus isd
ad tempus (2) idemque succedit dricissim
Non inutile erit indicusum
subjicere positionum inhisquae de
monstravimus, contentarum, etsi
Quaedam bis diversohabitu occurrant
In Mobilibus motis aoui=
distribute;aLiisqu omnibus
cuorum motum ascima-
mus mocupunci tanquum
aequidistributum; si motus
Sint uniformes, Tunc
LP temporibus impensis aequa
LibusreLocitates sunt ava
ut Longitud ines
in ratione composita 3 ad 1 8t 2 ad 1
id est in ratione b adi, sive ut factum
ex tempore in reuocitatem, seu si resocitas
ipsius B sit dupta es tempustripsum, res-
pectu relocitatis etemporis ipsius B, exit
ipsius B percursa Longitudo bistripsasseu
terdupta hoc est sextupta Longitudinis
ab A percursa.
L. rOp. 7.
Quandocunque percursa a mobilibus
Longitudo ea eose censerur quae abasi-
quo puncto percursa et velocitas quae ejus-
Dem puncti, e motus mobitium sunt uni
formes; Longitudines percursae sunt in
ratione composita temporum t redoci
tatum.
Nam inpunctis sunt tales sper
praecedentem) e hoc Locoidem esse in
texligitur motus mobitis qui puncti,
perinde ac si motu aequidistributo se
cundum hujus puncti motum moreretur
Ut si sphaera AB, cujus centrum
A proroeratur super Linca L. M W, solet
Sphaera attribui motus centri A perinde
ac si in punctum reducta percurreret
Lineam 1 A2 AZA (parallelam ipsi
L. M H) vel perinde ac si motu aequidistri
buro