PROBLEMAm GEOMETRICl aaj 



tnde fit vt ante : 



Ex quatuot fuperioribus formulis quoque obtincmus : 



Ji n-{0 — T>) erfin.t _ hh . 



'■ coj. :p ~ aa fjj':.» ^ 



co/. (9 — J>) - °g gpJ^i-tf o 



"ji^cp — //M« — bi> — ■" 

 vnde fit 



fin. e ^jr^ =r: A et -^^ — -I- lin. 9 —iS 



ergo -^4)— — "«. e — A et jj,.^ — — 15 - im. 9 

 quae aequationes inuicem multiplicatae praebent : 

 cor.r=(A-+-B) fm. a-AB- fmJ* feu iH-AB-(A-fB)fm.$. 

 Cum iam A et B geminos habeant valores , erit 



AB==;f et(A-+-B)fm.0=:;/4-;^ 



vnde fit I -{-jfzz: "-^jj^ , ideoque hinc ifta nota ellipfeos 



proprietas refiiltat : a a -\- h b—e e-\- ff. 



Porro fi akerum focum ponamus in U , erit vti conftat 



CUz=y{aa-H)z:^V{aa-di>y 



at {aa-bb)^ riz^aa-^-hbf -j^aabb. 



Cum igitur fic aa -i-bb—ee-^-ffet ab — efCv\. & erit 



C V—y{e*-hJ*-^^eeff{i-2{m. ^) 



verum ell 1 — 2 fiti. &* =: col. 2 9 , hincque obtinetur : 



CU=:»^(^*-h;*-2£'^/. cof 2^) 



His inuentis ratio conftru tioniim datarum fiet perfpicua : 



?ro I. ConliruStme. Ob ECF — FCGnzd crir ECGp-s- «• 

 2«; et cum fit EC(^) : CF(/ )zzCF (/) : CG erit 

 CG^? i Porro dudbi eG erit tang. C.Gir: ^^^ 



F f 3 Ac 



