Mi. Mi.

1 2 2

2 5 5

3!

234

7 7

4 10 10 5 12 12 6 15 15

7 17 17

8 20 20

9 221 22 10 25 25 11 27 27 12 30 30 13 32 32 14 34 34 15 37 37

16 39 39 17 42 42 18 44 44 19 47 47 20 49 49

21 52 52

22 54 54

23 57 57

24 59 59

TABLE

TABLE IV.

A Table of the Sun's Equation.

Sign o. Sign 1. Sign 2. | Sign 3. | Sign 4. | Sign 5.

E. Subf.E. Subf. E. Subj.E. Subf. E. Subf. E. Subf

A. Add. E. Add. Æ. Add. Æ Add. Æ. Add. Æ. Add |11 Sign. 10 Sign. 9 Sign. | 8Sign. 7 Sign. | 6 Sign,

The

T

The Use of the Tables.

O find the Sun's true Place in the Ecliptick at any time, by thefe Tables, this is the

RULE.

From the feveral Tables, collect the Years, Month, and Day of the Month, and alfo the odd Hours, if any be, and fet them down, one under another, with the refpective Longitudes and Anomalies anfwering thereto: Then add the feveral Longitudes and Anomalies together, and with the Sum of the Anomalies, enter (Table IV.) of Equations, which Equation, Add to, or Subftrait from, the Sum of the Longitudes, and the Sum or Remainder, fhall be the Sun's true Place in the Ecliptick for the time proposed.

How Time is to be computed.

1. Any Day begins upon its own Noon; fo that the Fift Day of January, at 12 at Noon, is the common Term of the Old and New Years.

Example.

Let the true Place of the Sun in the Ecliptick be required, for the 16th Day of May, in the Year of our Lord 1703. at 5 in the Afternoon.

Firft, Set down the Year 1703. then the Month and Day, May 16, and laftly, the Hours, 5, as is here due.

Secondly, Look for

Long.

S. D. M.

Anom. © S. D. M.

Year 1703.

9 20 14

06 12 46

May, Day 19. |

4 14 03

04 12 02

Hour

12

12

1703. (in Table I.) a-
gainft which ftands 9 S.
10 D. 14 M. for the
Longitude; and 6 S.
12 D. 46 M. for the 4-
nomaly; both which fet
down as here you fee.
Thirdly, Look for May
16. (in Table II.) againit
which stands 4S. 14D.
3 M. for the Long. And
4S. 12 D. 2 M. for the Anomaly; both which fet under the for-
mer, as you fee.

O Mean Lon. 1 04 29 10 25.00
Equat. Add. 01 06

Fourthly, Look for 5 Hours (in Table III.) against which stands 12 Minutes, both for the Longit. and Anomal, both fet down, as you fee.

Fifthly,

Fifthly, Add all the

Longitudes together, and they make 14 Sig. 04 Deg. 29 Min. (from which abate 12 Signs, and there remains only Two Signs.) Alfo Add the Anomalies together, and

-

they make 10 Sig. 25 Deg. oo Min.

Sixthly, (in Table IV.) Look for 10 Signs at the Bottom of the Table, and 25 Deg. in the laft Column towards the Right Hand, fo against it, over 10 Signs, you shall find 1 Deg 6 Min. to be Added. Set them under the Mean Longitude, and add them to it, fo will the Sum be 2 Sig. 05 Deg. 35 Min. And that is the true Place of the Sun in the Ecliptick, which is 35 Deg. diftant from the Equinoctial Point r Aries. Note, that

Signs O I 2
Is r 8 II

3 4 5 678

9 ΙΟ II

4 2 m 1 m ↑ vy
Other Examples.

| O
Longit. | Anom. O
S. D. M.

Year 1720.

D. M.

S.

9 20 07

་

Febr. Day 29
Hours

1 28 09
15

6 12 21
I 28 09

11 18 31
1521

61

11 20 23

Longit. O
S. D. M.
9 20 48

3 21 23
O oo oo

I 12 II

15

8 10 45

Pisces.

Anom. O

S. D. M.
6 13 10
3 21 22
ooo oo

10 04 32

Or 35
1 13 468 laurus.

Anom. O

In this Example, it being Leap-Year, I take the Day of the Month out of the Column that hath Bisex. at the Head of it.

Note alfo, That if the Sum of the Sun's Anomalies be less than Six Signs, they will be found at the Head of the Equation Table, and the Degrees in the First Column towards the Left Hand, and the Equation must

Longit. O
S. D. M. S. D. M. (always) be Subftrait-

In all the Problems in this Section, it is to be understood, That (in all the Spherical Schemes, or Figures following.

P

Æ Q
PP

F

EC

FF

SAANZIN 8

Pole of the World.

Equinoctial Circle, or Equator.

Parallels (or fmaller Circles) of Declination of the
Sun, or of a Star.

Pole of the Ecliptick:

Ecliptick.

Parallels (or leffer Circles) of Altitude of the
Sun, or of a Star, or the Latitude of a Place
or Country.

Vernal Interfection of the Ecliptick and Æ-
Autumnal Squator.

Afcenfion

Repre- Defcenfion of any Point of the Ecliptick..

fents Zenith.

the

но ZN

Or

Oc

R

Nadir.

Horizon.

Prime Vertical Circle, or Azimuth of Eaft and
Weft.

Eaft Pole of the Meridian: Or the Place
in the Horizon, where the Sun, or a
Star, Rifes or Sets.

Weft

Right Angle..

Star.

Sun.