ai8 Opuscula 



parallclariim omnium, qnas intra Umilcs conslniclionis non 

 ajscquitur. 



Quae postremo assiimiliu-,Tab.XVIlI.,mii]lo plenioraequatio 

 (C), ail formulas pcrtinct sccundo loco posilas pro conslru- 

 liono acqualioniim quarii gracilis. Valorcs cocllicicnlium , qui 

 l)rcvilatis causa in auxiliariis acqualionlbus adhuc litcris re- 

 ]>racscntanlur , capla arbitraria C = — 3, ita se habont =0 = 



^i—-\-65),a=0,l> = — —,d= -,e = ^ , 



2^4/ ca 2 ^1 



„;=:^5a±i^'_270,« = _J285+i(6c3-27)(G)°-h-39)', 



^=^' + ,-(27 — 6(3)'+ 3 (a°+ 39) 4- 55,7= 141 — 18 (:o+-^' 



(i) 4 



Aple selecta unitalc linearl, super recla linea ab origine C de- 



ducia angulo tangcnds =-, abscinde ab ipsa origine C inter- 



3 



valla C C, CC",CC"'jec. juxla formulam^rV 10, idestCC'=o, 



CC"=>/io,CC"'=:4v/io, ec.PunciaC',C",C"', cc. centra e- 



runt circulorum aequalionis (or) , ex quibus in figura prinios 



quinque tantum delineasse sufficit numcris x = o ^ x = 1 , 



= 2,= 3, = 4 vespondentes, consiructis scorsim radiis V"^, 



^/ {^m-\-n-\-p-^q') ,y/ {in-\-^n-\-\p-\-Qq),GC. Numerus cuique 



circulo adscriptus valor est indicis gencralls x, quo circulus 



ipse delcrminalur. Aequalioncs aliae diiae (a^') rectilineum si- 



stcraa punctorum offerunt, seu reclas lineas ex aequalione pro- 



deuntes j-=ihx' -\ (z — e— or'-), quasvidere est in tabula 



suis numerls extremis o', i',2',3', ,0:' distinctas, el puncto- 

 rum toiideni scries super ipsis rectis valoribus, quos praese- 

 ferunt, indicis x respondentium ex secunda aequationum (x') . 

 Siquac circumferentiarum (x) in hujusmodi puntis rectas (x') 

 secabunt, simulquc iidcm sint numeri, qui circulos secant.es, 

 et puncta intersectionis distinguunt, totldcm aderunt solutiones 

 quaesitae in comuni valore indicis x , et valore indicis x rectae 

 cujusque proprio, in qua locum habet congruentia ista valorum 

 indicis x. Constructio nostra solutiones positlvas tres nobis ob- 

 jicit x=o ,x'r='5'^x ::=2,ar'= 1 •,a: = 2,.z' = io. Circumferen- 

 liaeenimnumeris x :=o,^2 distinctac secant inpunctisejusdem 

 indicis rectas indicis a; = 3',=:i'5itemcircumferenliaindicisx=2 



