^equaf is «»n sg-wared of bal/"; ^ means times ot X • 

 (fi,} fn ^^erica, the two last formulae (c) (c?) become, putAj)^ 

 tjlie 5»»6^ ©/"the^ctow 



tan.» i A = jaC^---6)«n(..~c) ^^^ 



^0 * sin (^ — .«) 



*• sua o sm c 



(Jl) In the supplemental polar formula made jfrom (ec), we 



have le cotasquaf (/ess cotasguared of hal/} on the left, and 



cosine* above and helow on the right : or, 



c,,.^ _Cos (S~B). Cos(S-~C) 

 — <M.^ i « ^ -— q^g g^ Cos(S— A.) ' 



(^.) c — Cos 7 (a + ^) ; 



2 (a. J)*. 

 Where sinq y =2 Cos ^C. •^- r^ 



Sum ab is a 4* * » sometimes Sab. 

 Siy is sine of 7. pron. gig. Cha is cos of ^alf ; pron. as in 

 chance ; mean cib is thq paean proportional between a and 5, or 



(5.) Sing to sin op as Sing to sin^p. (h) 



Circ pkrts are S *b and sup. rest, and 

 Smid is pro. Oops or pro. Tads. (t) 



Taf Sor Dkngs by Coth Ckng 

 is CorShaDab by CbrShaM; (A) 



^ The den has tkf in pole. (/) 



Cof. cbc. is Ck. CO. fl^b, 



(prim. lilt, are sines in pole.) 

 Where tan <p is tana, co Cang ; (tn) 



(for tan <f) say cot <p in pole.) 

 (a 'b m the second line is a dissyllable, CorShaDkb a trissyllable, <j>leb 

 a sySable, as also tan <{>, cot t.) 



(A.) Sing is «ne of an^le ; sin A : sin a rz sin B : sin h zn 

 sin C : sin c. 



(i.) Neper's circular parts are a, b, and Mjpplements of the 

 rest, or of c AB ; and sine middlQ part is joroduct of Cosines of 

 opposite*, or product of Tangents of acQacent*. 



