Quantum redactiones paginae "Usor:Tchougreeff/QUOMODO sive HOW To/PRINCIPIA CALCULI DIFFERENTIALIS ET INTEGRALIS ITEMQUE CALCULI DIFFERENTIARUM FINITARUM AUCTORE ANDREA CARAFFA E SOCIETATE IESU ROMAE TYPIS IOANNIS BAPTISTAE MARINI ET SOCII MDCCCXLV" differant

Content deleted Content added
Linea 13 129:
z = \Delta\cos\theta,</math> erit
<math>\Delta\cos\theta = \chi(\Delta\sin\theta\cos\omega, \Delta\sin\theta\sin\omega)</math> :
habita <math>\Delta></math> pro functione reliquarum 9<math>\theta</math> et ω <math>\omega</math>, sume <math>u = 0\theta,
v = o \omega</math>; obvenient <math>f.' =fof\omega = \Delta'o\omega \sin9sin\cosotheta\cos\omega -}- \Delta\cos9cos\theta\cos\cosoomega ,
f,'=f'. - A', \sin0sin\theta\cosa-\Delta\sin0sin\sino»theta\sin\omega, f.'=f'o\omega =\Delta% sin0sinosin\theta\sin\omega +
\Deltacos9sinoDelta\cos\theta\sin\omega , f/ = f, = \Delta', sin0sinsin\theta\sin^» + \Deltasin9cosoDelta\sin\theta\cos\omega, 3. =
\varphiα =\Delta'o\omega cos9\cos\theta- \Deltasin0Delta\sin\theta , \varphi,'= \varphi'., = \Delta', cos0\cos\theta</math>: hinc <math>f.'f.' -
f,'f,'= \Deltasin3Delta\sin3 \Delta, sin0sin\theta + \Deltacos9Delta\cos\theta), ?„'f,' - \varphi,/f„' =
\Deltasin9cosDelta\sin\theta\cos®(\Delta% cos9cos\theta - \Deltasin6Deltasin\theta) - \Delta\Delta'., sino , %f.'- ?,f,'=
\Delta\Delta', \coso + \Deltasin9sinaDeltasin\thetasina»(\Delta'o cos9cos\theta -</math>
Ain? ; quarum expressionum quadrata in summam collecta dant <math>A*[A*. + (A*-H A*o )sin*9]</math>: igitur
 
Ain? ; quarum expressionum quadrata in summam collecta dant A*[A*. + (A*
-H A*o )sin*9]: igitur
-
 
ffdxdyV(1--χ*.+x*,)= ffAdudwV [A'*.+(A*+-A*, sin-gj.