128 



His ita definitis erit 



dx 



A 3 w s in 9 w 



& 7>oi cos 9oj 



ideoque 9,? 



(p -f-cos 2w2 



3 et dy ±z 



(f-+- 98^2 w)g 



(p4-cos2coi2 



Coordinatae autcm ipsius curvae 



quaefitae erunt 



x -— - 14 A ce-u — 7 A (i — ficos 310 + 7 A p fl — p) c »? 5co — 2 A (I — p) cos 7qj- 



6~jl — ? » V j-+- cos 2 w 



^- 14 A sjnu)-+-7 A(i4-p) sm 3io — ? Apg- ;-p) s/n 5co-»-2 ^ n-i-p)sm 7co 



■^ 6 (I+?) V p-4-cos2w 



Pro Hyperbola autem, ob \ = /|» erit angulus ECE = 65°, 2(5^ 



vel etiam BCE ~ 24.°, 3^ 



C or ollarium 3» 



§. .18. Sint E et e ultimi coeffici<|ntes, eruntque for- 

 nmlae reducendae atque per — ——3 multiplicandae se- 



T- * ( g + cos 2co ) 2 ■*■ 



quentes : 



Pro c>x 



f — A ?.ffn to — 3 Eps/n3 co — 5Cpsin ?co — 7Dps/n "10 — 9Eps/n9co 



^ 4-Asznco — B s/n 5 to — 2C s/n 7co — 3D iin9w — 4EsmII co 



C — v 2Bsziico — 3C sm 3'co — 4Dszn5to — 5Esj'n7w x 



Pro dy 



( -4- a$ co?coH-3o £cos3co 4-5cpcos 5co4-7 d?cos 7 co-f-9 epcosyu 



} -4-acosco -4- 6 cos 5 co 4- 2 c cos 7 to -4-3 <~cos 9 to 4-4? fos II to 



C .+■ 2 b cos toj-f- 3 c cos 3 co -4- 4 d cos 5 lo -f- 5 p cos 7 o> 



ex quibus sequentes iluunt determinationes: 



E = -f 



4 

 £ -— - 21 A pp-t-5 A_ 



B 



:i A pp _ 5 A 



A 21 A pp — 5 A 



e — -+- - 

 d _=-+- __* 



4 



r — :iapp — 3A 



L — g . 



h —~ 21 APPH-5A 



29 

 n 21 A t? — 5 A 



exiftente 



