xpo $ LVT I 



ct MwrV^ + g^^ 4 ). Ex puncto D ducarxnr 

 jnfuper in tangentem MQ, perpendiculum D(^, et 

 prodibunt triangula Mmr et DQJVl fimilia , qua pro„ 



t-v y-v zz d Q *~v ik/t z dz 



pter ent u^L — 7inn 1 ^i<iij>') et (^_m — y [<j B . ^. » iTSpsy» 

 Hinc V Q=r V ( V JJ' -+■ D <£ ) = V« .+. j^J^-, 



V (a a d z* -4- (a a -f- z 2) z z d $•) — . ^- 



= vTd^r^Tcpi) • Elementum ergo fuper- 



ficiei VMm erit ^~^=iV(aadz*+(aa-\-zz)zzd<P') 

 <et fuperficies arcui AM refpondens erit = \fV(aadz % 

 ~+-(aa-\-zz)zzd<p*). Cuius integrale ita capi deber, 

 Vt pofito Cf) — o, ipfum euanefcat, Elementum autem 

 areae bafeos DMm=iZzd<P et hinc area ADM 

 =lfzzd<p t foliditas autem partis coni arcui AM re- 

 Ipondentis erit = \afzzd<p>. Commune ergo orcni- 

 bus conis debet efle lafzzdtp, et maximum rmni- 

 mumue \fV (aadz-\-(aa-\-zz)zzd<P % ) , quae ex- 

 preffio pofito dz = pd<P tranfibit in iequentem \fd<P 

 y(a app -\-(aa-\-zz)zz). 



3) Comparentur nunc hae exprefliones fecuudnm 

 regulas a Celeberrimo Eulero datas cum formula JZd<P 

 in qua Z ponitur functio quaecunque ipfarum <pz et p 

 atque ponatur dZ = Md<P-\-Ndz-\-?dp-\-Qdq etc. 

 j>rior ergo expreffio dabit Z=zz t quod difFerentiatum 

 ct comparatum cum dZ dat M__o N = iz 9 P__o 

 ctc. Pofterior autem 2 = V(aapp-\-(aa-\- zz)zz), 

 Hinr M - o M - {£±±-^ z ft p- a _? 



*iiuv m — <-» , _n _ y( aa pp_ 1 _xz(aa-+-zz)) cll 'V (aappn-zz(aa->-iz))' 



Per easdem ergo maximorum et minimorum regulas 

 debebit efle 



Ponatur ~=cc, et prodibit N— _| -_ff£_ro, quae 

 dudta io/>~<}) dabit Npdfy-pdP-zSzpdQ^o feu 



N__ 





