triusqtie folidi proieflioneni in plannni AOB coordinatdrum 

 u, V, definit, pio (jua i^jilur oblinemus 



/ ir, five 



qnac cft aequalio iu! iiyperhoJani , cuius femiaxis coniuga- 

 tus f/ — e / i^Jz-it. Iransvcifiis p — c y JiL. minor coniugato. 

 IlyperboLic liuius afvMi[)lolae ad axein OG fub angulo y 

 inclinanlur, cuius taugr-ns cft '^ ~ y t£— ' — cot (j O E 

 (5. 10.^, unde fc<juitur y — ^jo" — G O E. 



§. I <• Su)rj>ofiiimu.'; haft- nus n > 1 : fi enim n <J i , 

 puncla duntaxat. A, 15, pcrmulantur. 



Cafu vcro n = i -, h. e. fin A C rr fin B C , foimulae 

 fuperiores (J. .;.) danl lang A O E .: - ^ '\;, — tang k. '-, feu 

 A O K ~ ^ a et A O li - 1 80' -h ? a; taiVg A O F — .. /^i^^^ 

 rr - cot ? 7, h. e. A O F rr 90* -+- J a, et A O F =: z^o^"'-^ l a, 

 E C) F rr 9' °. I^roblcniali ilaque falislaciunL bini ciiculi ina- 

 ximi pcr polum arcu,^ A 13 Ir.mfrimtcs et ad inviccm nor- 

 malr-s , (]iiorum altcr aicuni A B bifaii.mi fccal. Quod fi 

 Fig 7 cnim KUK, Jllf'', 'li circtili fmit , ul fit A K - iU^: .? - , 

 EFrEF -KII , ct pcr quodvis ptinflum C cijculi 



E II E' ducuntur arcus CA, C P, lii cnuit .ictjualcs. Sin 

 aiitem ad punftum C ciiculi FIIF ducuntur aicus A C'', 

 BC, in triangulis reaangulis AFC% Bl C , ciit 



cofAC :z:cofKC'cof(9'--''-f-^ ') coflC fin?cs & 



cof B C— cof F C cof(ye* ^O = ■ ; col F C fin k - , 



proinde cof A C^ r:i -- cof B C , ii. c. ^A C =:: x 8o' — B C, 



unde 



