54 SOUTIO TROBIEMATIS BIFFICILIIMI 



ex his fit .v=400 ; j—^69 ; et :;=: ^' ; y{^xx -H 

 jj)—^Si ; vndc tmngiilum rc<fl;ingiiliim crit 



I. cath. ':=^T^^ II. cuh. i = ';^: , 111. hyp. = f^^ 

 atquc arcj zr '■^■^ ; quare problcmati ita (utisfit : 



. cath. - nrca=: -7:7^ — ZTT:?^ — ( 7777.) 



II. t.un. arca — ^^. ,,j, — ,^, ..^, — ^ ^, ,,, ; 



Si)liitio fccunda. 



§. XI. Sumatur cx rolutionc pracccdcntc cafus poftc 

 rior p — ^jr y {t'f — ^^) ) qni rcquirit hos valores : 



r ■::= c c -^- d d-\ x—{cc~\-dd)^\ x~pp 

 q—zcd C feu q—:Lcd{cc-\-dd) -^ yzLzqq — 1-T 

 P ^ H^f ^ pz=zcdicc-dd) , y{^xx-\jj]^2pp-rr 



, y(p-n)* 

 et vt antc ;rzr.v-i- —77 — 



Qjiia autem efle debct 0. qq^rr cr\t Sccdd^ {cc~]-dd)* 



ci 2 c dV 2 ^ c c -h d d , ii\.\ o ^ c c - 2cdV z-\-dd, quod huc 



rcdit, VI fit dd^{c-dV z^ ;, ergoveU>r-/^V2 feu \ > 77^, 



vcl d*;>dV 1—c fcu £ <:^ ~zr^ 

 Ergo fi // — r neceffe eft vt fit vcl r <^ V 2 -f- i vel 

 f>V2— I. At cft i'>i , vndc (tinpcr erit f>y2-i, 

 ct zqq — rr fict qu;intita'< pofitiun. Frit itaquc 

 I. cath. - ',' ; II. cath. -^ ct 111. hyix)t:- i^^-22J. 



Excmpliim. i. 



§11, Sit f — 2 , ct dzz I , ac proucuicnf hi valorcs ; 



