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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)
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LFB. II. DE SOHIS.
cum est: Dices nondum inventas scilicer maiore pondere longiori
else duas medias proporrionales:
Respondeo in materia Phylica latis
esle illas mechanice inveniri; nem-
Dein eadem maceria, in qua nC.
cellario organum adhibetur, 6c0-
merrice curius non proceditui,
quam mechanice, in quo non cst
diffculEaS.
PROD. CCXZXI
FIinc si crassundo e longitudo
chordarum, in eadem propertione
crescant, soni pont in duplicata lon-
sicndinum; vel crassitudinum per-
mutando; appenso scilicet eodem
pondere: Nempe censiones Pune in
compolica; longicudinum, et cral-
Licidinum; permutando pei P. 225.
igicur in hoc catu in duplicata lon-
sicudinum; igitur Tubduplicara
censionum est ipla racio longitu-
dinum; Sed Poni lune in copolica ex
Tubduplicata rensionum, d pernr-
cacalonsicudinum, igirur in compo-
Lica, ex permurata longirudinum, dc
permutata lonsicudimum, igieur in
duplicata longicudinu permurando:
V. 5. lic racio chordarum=. Lar1O
Fonorum erie = igitur dildiapalon,
SIc ratio chordari = rario CONOEu
cric Z. sic rario chordarum Z. (0-
noru erit Z aeque ica deinceps: ob-
Seruabis aurem auetopondere, iusta
compenlarionem heri posse; Pine
enim pondera in rarione lonorum,
V. 8. Sc rario chordarum = IFEM-
que crassicudinum; rario Conorum
est  appenso scilicer codem pon-
dere; sic rario ponderum . Coni
erunt in patione= ccce compenla-
tionem; sc ratio chordarim =
itemque cFaCMendinum; Fario FOBO-
rum ekt =. appento eodem ponde-
xa Cic racio ponderum 5. appeno
chordae Conierune in rarione
ccce compensationem: denique ve
rerula generalis cacuarur; s chor-
darum crassieudinis ee longieudi
nis sic eadem proxortio, d l pon-
dera sine in duplicaca chordarum,
Poni erune in rarione chordarum
perimurando; cum appello chor
das, longicudines incelligo.
PROP. CCZZZII.
Sonus chorda pulsatae ica imminui-
tur in hyporhesi parabola, ut prima
vibracio dupla sic secundae; haec, du-
platerriae; haec, dupla quaria, at
que ita deinceps: FExC propolicio
probatur exiis, quae demonstrata
Tunc Fract. 2. hic tancum brenicer
indico: Sic enim cempus AD, quo Fi8. 53a
chorda adducta, vel pulsaca pri-
am ribrationem efficie, cuius (pa-
tium delcentus, sIE V. ∞ Femipara-
bola ADOM; delcenlum vocomo-
cum illum accelerarum,, quo le 2
EeNGONIS REAFIL, ad SIEUI FCCFUI
reducie; cerre equali cempore sci-
licet DHI, Sparium aCcentus decur-
ric, quod est criangulum parabo-
licum OR EI D; alcentum NOcO,
mocum illum recardatum, quo a li-
cu recto, proprer vim in ipso de-
Ecentu aequisitam, ad ctacumm cer-
sionis rendic; quod aurem ita reS.
Ec habeat, brenicer indico: in a(cesu,
reducitur à rota relocieate acqui-
Sica ad nullam velocieacem, (IE ZUTE
velocicas acguisica erianoulu re-
Ailineum DFC, ac proinde (parium Fig, 47
Pyranis ADC, _E TempUS AF, exir
in aCcentu idem cempus, spariium
VeIO COHIIS G F D A, CubdupluS.
dictae pyramis;  vero sir alia hypo-
chels, ex Spatium pyramis IXEL
GFD A, e relociras acquilir2 PC
lD