MOtARVMALATARVM 87 



r_ jy 3 , ita vt fit m << i , et quaeratur valor 



. r t ,. „ (A — B z )( A — 4 B z-4-3 Czz)' 



lpfiussex hacaequatione m~zz. K r - 



A(A — zBzH-Caa)» 



— a_— B_s ( a_--_ 4 b *-+- i Cj2\» cu j us aequationis refolutio 



A ^A — 2B~-^-C:^z;' , l 



cum fit difficiliima , tribuantur ipfi z fiicceiliue plures 

 valores , ex quibus ftatim apparebit , quinam valorem 

 producat ipfi m proxime aequalem * quo cognito fecile 

 is valor ipfius z ernetur , qui aequationi huic exactius 

 conueuiat. Inuento autem valore hoc z , inclinatio axis 

 ad alam Cf) elicietur ex alterutra harum fbrmularum : 



r /K 5 2 ( A — B a ) . „r^l ~xf /t\ a _ A — 4 B z -r- ■ * C z z 



Pa. <P = .(a--,b»-».c»«) ; velc ° r - <P ~ 3(A- 2 BT-rcT^ > 

 eritque tum celeritas „ __ ^/s tang. <J). Ad hanc ope- 

 rationem oftendendam ponamus pro alae figura v __. a t n ~~ 1 9 

 fitque area alae __: A __ ^- f n , erit : 

 A-^rr A/, B-^A//, etCrr^ A/', 



crgo |^T7 = T71- Ponatur autem « __:^- \ vt fit 

 * __: e x tang. (J) , et x << i ; 



1 ( l -___ ) T - * x i 5 _ * 



erit i1n.$ 5 _=-~l^^^-i^- ; ;etcof.Cb \-_„__:__i_3j_^__ : 

 atque valorem ipfius x erui oportet ex hac aequatione 



I X I ^ 4 X i 7 3: JC 5 



w - _ —___ ( ^—-^—L^ ); 



n -f- i n -+- i 7i"Lf. 2 ~ ) n -+- j 



Ponamus exempli caufa »=_i , vt figura alae fit rectan- 

 gularis , vti vulgo fieri folet , cnius area fit _A, erit 



m = _Hri et *= >-=~ ( T_f#$*f#; Porroque 



