206 
® ) » ( æ 
tur (I) ”) Tang, u Sin. v- 
(II) Tang, u Cof. v = 
Cof. /' Cof. A — Cof. I 
2 Cof i (/+/') Sin 
Cof. I' Sin. A 
2 Cof i ( / + /') Sin. i ( l — /') *• 
Cof /" Cof. A' — Cof / 
(III) Tang, u Sin. u'= - — — — 
Cof. r Sin. A' 
hinc erit Cot. w = Tang, u (Sin. v Cof. 0 ■+ Cof. v 
Sin. <f))=Tang. u' (Sin. v' Cof 0 -f- Cof v Sin. 0). Er- 
go (V) Cot. co = Tang, u (Sin. 0 + v) = (VI) Tang, »' 
(Sm.<p-j-i; ); quare ^ 5 nec non 
Sin. (Cp) -h v 3 lang.« 
„ Sin.(<ß+v)+Sin.($-{-i/) 
componendo & dividendo— 
Tang.»' -{-Tang.» 
Sin.((p + u) — Sin.((f)-j-i/) 
v -f- v 
. Hinc fit Tang. (0 
) 
Tang, u' — Tang. » 
Cot. T (v — v) = C" + . ») > f eu (A) Tang. (<J> + 
Sin. ( u — ») 
v -+• v Sin. (u -f- ») Tang. é(v — v) 
= . Ut autem 
2 Sin. (» — ») 
valores ipforum v, v » & u repedantur, dividen- 
da eft aequatio (I) per (II), & (III) per (IV) > quo 
. Sin. v Cof r Cof A — Cof l 
fafto erit (VII) = — — , & 
Cof v 
Cof /' Sin. A 
(VIII) 
•) Numeri Romani (I) (II) &c. ; pariter atque litteræ (A) 
(B) &c.; ordinem tantum nomenque aequationum & formularum, 
ob commoditatem in citando, defignant. 
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