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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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L 1B. II. DE SONIS.
quadruplo acurior Pono B; igitur l1
eadem chordam B, Scruara lcilicet
eadem crassicudine, ita conthahaim,
ve Conum duplo acuriorem priore
Faciat; hand dubie chordae B Con-
ErACEX, e chordae A COni FaCICHE
diapalon; id est, Conus A eric du-
plo acutior lono B contracta; igi
cur ex praetaro problemare to-
ta res depender, quod iam
Coluo.
PROP. CCXXZ.
Appenso eodem pondere, eidem
chordae, ita chordam contrahere, ut
sonum quaesirum reddat: Nullibi (o-
lucum vidi hoc problema, quod
forre, ve valde dubito, propcee
Cummiami difficultarem, omillum
est; igieur sC dara chorda AD, V.
18. 51. 8. cui lic appenlum darum pondus;
diuidarur secundum carionem (0-
norum qualicam; cum incer seg-
mencum de rotam, line duxe media.
concinue proportionales, minOE
media dabir longicudinem chordae
contracta, cui praedictum pondus
appenlum, carionem Ponoru quseli-
ca tacier: v. 8. vehabearur diapalon,
rario diapalon est -,. igirur diuido
AD bitariam aequalicer in L, VE AD
sI ad AL, VE 2. ad 1. CCFEC (I Cup-
ponaeur eadem censio chordarum
AL, AD, COnUS A D eric ad ConuIm
ALS VE AL, ad AD; hOc eAt VE I.
ad 2. eritque diapalon, nempe Loni
chordarum eiuldem cralscudinis,
de centionis, sed diverla longiru-
dinis, Cune ve longicudines permu-
cando, Per prop. 204. Sed G vrri-
que idem pondus appendatur, cen-
Tiones crume, ve chorda; Coni vero
in compolita, ex ratione chorda-
rum permurando, et ex subdupli-
cacacentionum, non permucando,
re lupra demonstratii est; igitur ve
sic diapalon, no deber allumi chor-
da AL: SIE aUTeM DE AL, ad AM, it2
AML, ad AHI, _E ANI, ad AD; 2TTU-
IBaEHE Chorda AM, idemque illi
pondus appendatur; dico quod
AMI, AD, eodem, vel aequali ap-
penso pondere, taciene diapalon,
id est, lonns AM, cric duplo acu-
tior Lono AD; quod sic deton-
AEFO: CONI AM, AD, Cunc in com-
polica, ex lubduplicata rensionum
et permutata chordarum; id est, (0-
NUS AMI, est ad TONUM AD, FariO-
ne centionis, ve AD, 2d AII; Cune
enim AD, ANI, in subduplicaca
AD, AM; cacione vero longicudi.
nIS VE AD, ad AMI; ioicur ration
ne veriulque, ve AD, ducta in AD,
id cs, VE quadraEUI AC, ad AMI,
ductam in AN; id est, ad rectan-
gulum AC; sed quadracum AC,
est ad rectangulum AC, ve ad se-
ctangulum AF; nempe rectanou-
Ium AF, est Cub exeremis, _ AC,
Cub mediis; igIEUE AG, AF, SuNE
aequalia; igicur quadratum AC, est
ad AC, ve ad AF, sed AC est duplu
AF, ergo duplum AC; igieur (O-
nuS AMI, est ad Conun AD, in F2-
tione = ecce qualirum diapalons
quod erar Faciendum; (I VerO SIE
chorda AL, Cubdupla AD, appen-
(o Ecilicer eodem pondere; sirque
AD duplo crassior; censio AL erit
quadrupla censionis AD; igicur
Tonus AL rarione rentionis duplusi
rarione longicudinis duplus; igitur
racione veriulque quadruplus; igi-
tur in ratione=. ccce dildiapalon;
Sed Ai chordis AM, AD; eiusdem
cralsirudinis idem pondus appen
datuE; POnIS AMI es duplus AD;
ergo lubduplus chordae AL, (ub-
duplx crassicudinis, ecce diapalori: