DE STATIQNIBFS TlANETARVM. 59" 



T \ r 2 D + J 2 F 2 v P +- H *i+-/0+-r 2 A 2 (2D-P) 2 

 *"^ - 4 <v/-\D 2 F( 2 D-P rPi-4-;-i);DD'iH-^'Ti-) 

 Haec vcro porro in ordinem redigatur 



D - rA — ;wi~ 2 ^ — ^ — 



-\-,y- : ,2 F 2 P-+-4'- 2 ^F 2 ')-^-8 2 A 2 r<,^ ' 2 4-r 2 



<M 



4. U- 2 *--t-/ 2 ArO 

 A 2 P 2 /)-h4"^A F'| ^ +fT^FPft+S.-VF 2 " !;^ _ 



- rAP'^+-<Y/F^-r-^FH r 



r 2 A 2 P-|/^+-2r^AFP-+-2n^AFP l/^ -f-2 2 F 2 -+-2r s ^AP,, 



- ' 2~/T(y 2 EH-r^AT' ^ 



r 2 A 2 ^P2 ^r 2 P3A 2 



■ D +- y'w-. r rrr^ ~= 0. 



£ /xy 2 AP+-*- 2 F 2 ; 41, 2 AP-f~6- 2 F 2 j/T 



Poteft haec aeqimio diuidi pcr aliam quadratici 

 t»r dinis, vt poltea patebitc 



Scholion. 



2. Tdem probiemi porcfl aliter et. breuius Fi S'3» 

 folui, it.i quidem vt aeqaino nori nifi quauior 

 d*irienfionurri prooe.it. DeHenr autem in fubfi- 

 dium uuhiberi duo fcquentiu ' Lemaiata. 



Lemma I. 



3. In omni quadrilatero' FOI S , [ "ofitis OF 

 = F, QL-d } SI = M, SF-N, OS~D, et FI 



H 3. =/«] 



