164

Astronomy,

r The Log. of the Eccentricity CS —g-Then ) TheLog. of the Sine of AN=*=30°:4 TheLog.ofRadia!ArchR=z57°,295:

The Sum is the Log. g e X R, or R zSubduct the Log, of a — 1 -\-fg

: 0 .

There remains the Log. of — —y—0,4774^9^^^, ^

Rut 0,4774 Parts of a Degree are equal to 28 3 «therefore AN—N Qj= 30? — 28' 38" = 29° 3 1 p— A Q_of Angle A C Q,, the eccentric Anomaly jr, ^the Triangle Q_C S, having two Sides Q_C and gjeand the included Angle given, we find the AC S Q.- 29° 3 f. hil v«

60. Now making 2 C S = S H Radius, we f iSQ_H : P H (:: C E (= A C) : C D) :: Tangent ^Q_: Tangent of A S P — 29 0 2' 54'', the equatedequated Anomaly required. And that this is sufiR> ^near the T ruth, let us fee the V alue of the second

of the Series, viz. -.

’2 a 3

Thus, the Logarithm of—Multiply by - - -

=- 7 - 9 2 °

The Product is the Logarithm of

Add the Logarithm of

Rz

Rz 3

The Sum is the Logarithm of--

Subduct the Logarithm of 2

The Logarithm of the second Term

Rz 3

2 a

To which Logarithm answers the Number 0 ,

©r the Teoldas Part of a Degree; too small to ^ £ J,

= .c. 84 i