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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 102, page id 779782283:0188
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P H ZSLC A YR ACF A XV 5 I.
lensicudines chordarum, permutando: modo exrensiue, re patet, led eri2u
Prima pars probatur, quia aequalis incensine, cum sic idem actionis
caula, aequalem effectum producie, Cubiectum, peaedictae chordae im-
non incensive, si Cubiecta lunt inx-
qualia, igicur lalcem exrentiue, id
est eoc parres effectus, producie in
primetigicur chorda AC, cA xque
centaIn AFC, ac in ADC; idem
dico ac aliis punctis: Hlinc Cegmen
vno subiecto, quoc in alio; quia eUm AF, est 2que censum, ac leg
eamen pluribus partibus subiecti
maioris distribuuntur, ee pauciori-
mencum FC; Hlinc punctum F, nOn
adducitur deortum, per lineam
bus Cubiecti minoris, hinc Ac in- Perpendicularem, VE PaTCE ex PEOP.
censine centiones, id cA effectus
Ponderum, esle ve chordas permu-
tando: v. 8. appendacur pondus (ex
libearum chorda palmari A, eum
chordae bixalimari B; 2 qualem rim
exerir praedictum pondus, cum in
A, cum in B; sed si eadem vis effc-
etus distribuatur B, _c A; cum in
B., Sinc duplo plures parces, quam
in a, Cingulis parcibus A, duplum
competet e lingulis B. Cubduplum,
ve patec; isicur viscentionis A, exir
dupla, vis centionis B; igieur vis
censionis A, eric ad vim censionis
B, Ve B, est ad A, isieur appento in-
2qualibus chordis aegnali pondere,
vires censionis lunc re lonsicudines
permucando.
PROD. CEVII.
156. cum per eam lineam deortum
adducatur, a pondere pei quam de-
inde reducieur.
PROP. CLIZ.
Ellipsis desionat lineam, quam de
scribit pondus. currens in AC: SICFIS. 13
Si chorda tensa, in situ horizonta-
enim chorda centa AC, adducta in
ADC, vi ponderis; ex gemino Foco
li appendatur idem pondus, in di-
versis punctis, segmenta tensa chor-
da simul sumpta, erunt semper aequa-
Eis 23. lia: Sic enim chorda cen(a AC, Cu-
ducacur in ADC; cum dividatur
AB, bifariam in F, cui praedictum
pondus appendatur, ri cuius 2d-
A, C. d Cemidiameero BD, Hac se-
miellipsis RDM; EII CX A, eE C,
iuS Centrum sIE B, cui pondus Pex
libearum appendacur; ri cuius ad-
ducantur ad peripheriam delcri-
duCaEUE in AFC; dicO AFC, esse
Pram quorlibet linca, in angulum
COCUIECS, V. G. ALC, AFC, ADC,
aequalem ADO; cum enim pondus
AOC, dc. quodlibet Segmencorum
Par importar aequalem quanciea-
TeM; V. 8. ADC, eA aequalis AFC,
ALC, ADC, SEC. VE pater ex coni-
cis; aequi per prop. 258. Si chordae
AC, axpendarur pondus idem, II
diuerlis punctis Cegmenta chordae
tenla limul Cumpea, crunc semper
aequalia; isirur si pondus in chor-
da AC, currac, describic dictam
ellipsim LDP, quod erac demon-
Arandum.
PROP. CLZ.
Si chorda tensa n in s
menta aequalia, es a puncto dinisio-
nis adducatur per aequales excessus.
punctum adductum describit lineam
appensum, cum in B, cum in F, in rectam: Sic enim linca tenta A C, FI8. 14
rocam chordam indinisibiliceragac, diuisa bitariam in B; ex punctis
certe aequalem rim rensionis, non A, C, Cemidiametro AB, CB, deleri-
BAREIK
10