CFRFJRFM ALGEBRATCAWM, r^r 



M — AraTJ— P7j/«5-pY- quod fi praeterea ftatuamus N=:^ 

 b M , atque in hac aeftimationes modo exhibitas in- 



u 



determinatariim M et N fufficiantur , proueniet a:*»— P^v 



— 7_ — P g —a. 



yi^—?y— a -{-bx^^^^y^^—^y^, dudbque in ;i"«6— PV 



—7 -a. -tt- P 5- 



nafcitur j «*— Pv— <s;js,v«^— PVH-^-va^ — f^V «i— p7 ( A). 



II. Habemus ergp aequationem trinomialem A , ad 

 quam omnes reliquae quae occurrere polTunt, facile re- 

 ducentur. Sit ergo generahs aequatio curuarum trind- 

 miahum j'^ ~ ax^ -^bx^y (B) j et A aequatio ad hanc re - 



diieetur 7 ponendo ct. — ^^,_^^^_^^ , ^—j^i^Jt^^^ Y= 



m 



<^=:: 



IIL Pro obtinenda areu aequationis B , aequationes 

 riflumtaej' — M*.\I^, et .r— M^^N^, pn^ebent j ^ .r rz 

 ( y N dyi +(^ M ^N ) ?/!«-+->- • Nf^-^^- ' . Qiiod fi nunc 

 ad abbreuiandum , fiant y\~(i-^y ^ 0— p-j-cS^, 'k~y, 

 -h-^,ct pro N et ^N fcribantur in parenthefi flf-H 

 ^M, et bdlSl^ inuenietur y dx~ {y ad^~\-\b 

 M^M) M'^"*^^— '. Sit porro / numerus quicunque 

 affirmatiuus , et h quicunque fra^Sus , atque y\ — l 

 -f- H. Fadisque deinceps A — ;;^^, 6—^5"^',^,' 

 C-^f|,D-::^^^i, etc. atque Q.zr/M-^N^"^ 

 ^M nec non T r= A M^ -h B M^ ' -\- C M^^ -f. stc. 

 H- r M *''*'' . Inuenietur primo area quaefita J.fjdx 

 — N«T-(HH-i)r^Q_. 



Sciendum autem in hac prima Qiiadratnrae for- 

 mula, fore^Oi/A^nN^T fimpUciter, fi h fit=a-,.Tel- 



f=^h 



