163

Astronomy.

that Series s, then Radius (1) : Sine of AQ_^ is) '-SR- (/} N Q_; therefore y~g

+ fey. Consequently

i-a 1.2.3 r-2-Z-4

W g * ~ y . g/Z nJLl£ „ l/ll ^ .if.il

i ~ 1 1.2 1.2.3 1*2.3.4’

t __ gf

Let gg~ Z , i+fg ~ a,— -b, -M- = r,

We

Let *■* = *, *u.

v|_e

*'2.3.^.^ and the Equation will become z ~ ^ -{-„ r '

'<'Viirh reverted fives y — ~z —a

xS kRc.

^ and the r,4 UU —

z c ^ 3 be. which reverted gives y-—%

<u4- + «r, K a b e — 5 £ 3 ■

\ h ^

( ^ substituting the Values of 3 and d, y —

*J i c c >

' bc.

3>’

#+ 2. st

SB. But if

d l^fs than 27 o, then i e

x 3 —~z s j Vr.

2 u 4

the Arch A N be greater than 90 Degrees,

-■-.«=.= Ili + u£.

J I 2

'■££2!. i^ c . And then a

- fg , and >

b <sr. ...

24

5:1 ex 3

A r “. 2?H—-> I sV. This Series expresseS the1 h QfC • ct

v° 0>0 0 q; , in Parts, whereof the Radius contains| tee ? fay* ° ut t0 have it in Degrees and Parts of a De-a dial a* A P-adius (x) is to this Series (r), so is thethat. C ” 57 °j 2 9578 {R) to Q.N — yin Degrees jls - •— 'r. _ R R , R c

"-L 3 4-% 3 , isc.

* <2+ ’ ,

' ''—0 tv_

a ~ 2« j

Eft . ^ *be very first Term of this Series —z is

k 'En t to ,1 . «

K^hiofj. ., eterrn ine the Anomaly of the Eccentricity

h o ,. *he Planets nearly enough; for in the

iet°V s °nlv Where C Q_- C S :: 1 : 0,01691, the

C 4,/,. 1 °jOdt) Part of a Degree, For Example,

stA Q.-30°;

iwr T her