30 Dr. Hurron’s Projed? for a 
The radius being I, and arc a, it is well known that the 
i ag 3 Bee See Qo" 
fineis =@ — ia +71 — age @! +2 o— so51 ee? &e. 
6 8 
cofine =I <a fe sg U- =s5 Fe pete an te Ur ee 7 SP soriqes 0” &e. 


ane =O te ee ee 1382 git gn 
I 
EE SE aie re A ML ai dip Nb Reads 
cotang.—@ 30 Figs Oe aps aa. ee 
+ se Ee) g 4 61 6 een: BON 20 10 
feeaht SL ne +O a7 Ot sega ait Waragod GL Ge 


2 34 7 3 9 : 
cofec. =@ "+50 aset G Seize aT cape” + sq:Tg7o0% &e. 
Or the fame faries are thus otherwife exprefled : 

_ Bis Spud A ah i ay alg at 
fine =a= 5 ae cf i we ET i aitiis eee &ec. 
I 2 b c 6 3 e 10 
cofine =1+ - @ +——ai— a —— asi ge me: 
2 3+4 sin 0 Fino Dia 
gid zB 
ES rls 17 ae ited 9 ible) ir &c. 
tangent = ats a tient ae a +e ° timing a aR rt 
cotang. = a— ey, ba akin) | ath eee 
3 1S 21 10 
fecant =1 + ‘ Bt a? frie OFS 4.13854 a8 4.595728 gro &e, 
2 12 150 3416 124651 

cofec. =aat*+ 2 a4 al gt 4 BES 5» 1274 oti ?555% 4° &c, 
6 60 294 1240 25146 
where 4, c, 4, ¢, &c. denote the preceding co-efficients, And 
hence, with the help of the table of the firft ten powers of 
the firft 100 numbers, in p. 101. of my tables of powers pub- 
lifhed by order of the Board of Longitude, may be eafily 
found the fines, &c. of all arcs up to 100, by only dividing thofe 
powers by their, refpective co-efficients, as alfo of all multiples 
of thefe arcs by 10, 100, &c. by only varying the decimal 
points in the feveral terms, as the figures will be all the fame: 
and 
