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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 220, page id 779785487:0278
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PETZSICA TR ACF. IIF.
vis diapence, id es, rationem (0- Porro Cciri eriam potelt, quaenam
F1s. 52. norum . Ec chorda AC, ica di-
vita in B, VE AC, sIc 2d AB, YE Z.
2d 2. SIE VE AB, ad AD, ita AD, 2ct
AE, dE AE, 2d AC; dico quod chor-
da AI, AC, ciuldem crasicudi-
nis, codemque appenso pondere.
Faciene diapence, hoc est lonum
AD, esse 2d TOMMM AC, YE 3. ad
2. naI POnUS A D, est ad PonuM
AC, rarione centionis, in subdu-
plicata AC, AD; id est, vE AC,
2d AF; racione vero longirudinis,
VE A C. 2d AD; igirur ratione
veriusque in composira A C, A E
dE AC, AD; hOC eA VE AC ducta
in a C, 2d A F, ductam in AD;
hoc es ve quadratum AIE, ad iC.
ctangulum AN, vel F C; CCd vE
quadearum AK, 2d AN, ica est ad
rectangulum AM, aequale AN;
RaIm A AI CCE CUB exETeMIS, d APY
sub mediis; sed AH eAt ad AMI, VE
3. 2.d 2. HatI AMI, AR CUINE veba-
Tes; AF, AI; hoc eA vE 2. 2d 3. 10i-
Eur Conus AD, est ad Conum AC
vc 3. 3d 2. Ecce diapente quaesirum;
porio cadem est eacio pro omni
alia Poni ratione; ratio porro cst,
quia dinita basi AI, in qualibec i2-
tione, certe es quadrarum AK,
ad quodlibet aliud rectangulum,
ub quolibet secto balis SCgmen-
t0, _ FOTA AC,; VE est cora A L, 2d
Praedictum Ceomeneum; led ve qua.
dEAEUI AK, est ad huiulmodi Le.
ctangulum, ica est ad aliud rectan-
culum, Cub duabus mediis, inFCF
eoram AL, ee praediccum Cegmei-
rum altumprum; sed racio Lonorum
quaelita est rario leomenti alsum.
pri, a rorius AI, cum sic Cemper
eadem, cum racione corius quadeari
AR, 2d rectangulum, Cub prataris
Sic rario Conorum chordarum AB,
AD; primo enim Cciatur racio (0-
nOrum AB, A C; quod veHiaE, SIE
re AB, ad AV, Ita haeC ad A C;
cum aurem Coni sine in compolita
ex lubduplicata rensionum, et per-
mutata longicudinum; POnuS AC,
cA ad Conum AB, re rectangulum
AZ. CUb AB AV, 2d quadcacum
AK; vel rectangulum AO, qua-
draro aequale; igitur Ve AV, ad
AT; LIE ZUTeI VE AV, ad AY, iF2
AC, ad AO; dico Conum AB, cAC
ad Ponum AC, ve AO, ad AC; lect
Tonus A D, est ad PONUM AC, VE
AY, 2d AC; ergO COHUS AB, CR
ad TOnUm AD, VE AO 2d AY; de-
nique li crassiendo corius chorde
SE ad crastendinem sesmenei 2(-
Cumpri, ve toca chorda, ad ideim
TEGTONEU; V. G. VE AC, 2d AB;
id esE, VE 3. ad 2. haud dubie FH-
sio A C, est ad cenSIOneI AB, in
compolica longitudinum, de cralli-
cudinum perrmutando, id eR, VE
4. 2d 9. Sed Subduplicata =. Cst
Coni porro Cunc in compolica
ex Lubduplicata tenLIONU, dE VeF-
mutara lonsicudinum; isieur ex
. 8c =. igieur rario Conorum
est = IOIEUE TONUS AC est ad (0-
num AB, vE 4. 2d 9. id est, VE AB,
ad AY, aEqui COIUS AC, eR ad (0-
num AD, rE AB ad AC; id est, ve
4. 2d 6. IoitUr COnIS AB, CM 2d (0-
BIIE ALD, VE AY, ad AC, id cAt,
vt 9. 2d 5. vel NE 3. 2d 2. vides
diapence; poliro quod crassirudo
AD, sic ad crassicudinem AB, rE
AC, 2d AB; id eAt, XE 3. 2d 2. ic
CAE in eadem qUXLIER CONLONAMEIZ
ratione: in aliis consonantiis eo-
dem modo procedendum cst; aequo.
duabus mediis proporrionalibus: ita difticillimum problema solu-
Eid