_To find the Suns distance from the Node at the Time of New Moon in_
March, _the year before_ CHRIST _424, O. S._
The years 423 added to 1777 make 2200, or 22 Centuries.
Sun from Node
s ° ʹ
At the mean time of New Moon in _March 1777_, Tab. I. 8 23 33
From which subtract the Sun’s distance from the Node
for 2200 years, Table V 3 6 0
--------
Remains the Sun’s distance from the Ascending Node,
_March 21_, 424 years before CHRIST 5 17 33
Which, taken from 6 Signs, the distance of the Nodes
from each other 6 0 0
--------
Leaves the Sun’s distance at that time from the Descending
Node, Descending _viz._ 0 12 27
Which being less than 17 degrees, shews that the Sun was then eclipsed.
And as from these short Calculations we find those two antient Eclipses
taken at a venture, to be truly recorded; it is natural to imagine that
so are all the rest in the catalogue.
Here follow ASTRONOMICAL TABLES, for calculating the Times of NEW and
FULL MOONS and ECLIPSES.
+-------------------------------------------------------------------------+
| TABLE I. _The mean time of New Moon in_ March, _the mean Anomaly of the |
| Sun and Moon, the Sun’s mean Distance from the Ascending Node; with |
| the mean Longitude of the Sun and Node from the beginning of the Sign |
| Aries, at the times of all the New Moons in_ March _for 100 years, |
| Old Style_. |
+-------+----------+----------+----------+----------+----------+----------+
|Years |Mean time |The Sun’s |The Moon’s|The Sun’s |The Sun’s |The Node’s|
|of |of New | mean | mean |distance |Longitude |Longitude |
|CHRIST.|Moon in |Anomaly. |Anomaly. |from the |from |from |
| |_March_. | | | Node. |Aries. |Aries. |
+-------+----------+----------+----------+----------+----------+----------+
| | D. H. M. | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ |
+-------+----------+----------+----------+----------+----------+----------+
| 1701 | 27 13 45 | 9 8 23 | 0 28 5 | 7 23 15 | 0 16 3 | 4 22 48 |
| 1702 | 16 22 34 | 8 27 39 | 11 7 53 | 8 1 17 | 0 5 20 | 4 4 3 |
| 1703 | 6 7 23 | 8 16 55 | 9 17 41 | 8 9 20 | 11 24 37 | 3 15 17 |
| 1704 | 24 4 55 | 9 4 30 | 8 23 18 | 9 18 3 | 0 13 0 | 2 24 57 |
| 1705 | 13 13 44 | 8 23 54 | 7 3 6 | 9 26 6 | 0 2 17 | 2 6 11 |
+-------+----------+----------+----------+----------+----------+----------+
| 1706 | 2 22 32 | 8 13 48 | 5 12 54 | 10 4 9 | 11 21 34 | 1 17 25 |
| 1707 | 21 20 5 | 9 2 17 | 4 18 31 | 11 12 52 | 0 9 57 | 0 27 5 |
| 1708 | 10 4 54 | 8 21 10 | 2 28 19 | 11 20 55 | 11 29 14 | 0 8 19 |
| 1709 | 29 2 26 | 9 9 48 | 2 3 56 | 0 29 38 | 0 17 37 | 11 17 59 |
| 1710 | 18 11 16 | 8 28 32 | 0 13 44 | 1 7 40 | 0 6 54 | 10 29 14 |
+-------+----------+----------+----------+----------+----------+----------+
| 1711 | 7 20 5 | 8 17 27 | 10 23 33 | 1 15 43 | 11 26 11 | 10 10 28 |
| 1712 | 25 17 36 | 9 5 8 | 9 29 10 | 2 24 26 | 0 14 34 | 9 20 8 |
| 1713 | 15 2 25 | 8 25 48 | 8 8 58 | 3 2 29 | 0 3 50 | 9 1 21 |
| 1714 | 4 11 14 | 8 14 52 | 6 16 46 | 3 10 32 | 11 23 7 | 8 12 35 |
| 1715 | 23 8 46 | 9 3 37 | 5 24 22 | 4 19 15 | 0 11 30 | 7 22 15 |
+-------+----------+----------+----------+----------+----------+----------+
| 1716 | 11 17 35 | 8 21 26 | 4 4 11 | 4 27 18 | 0 0 47 | 7 3 29 |
| 1717 | 1 2 23 | 8 11 58 | 2 13 59 | 5 5 20 | 11 20 4 | 6 14 44 |
| 1718 | 19 23 56 | 9 0 31 | 1 19 36 | 6 14 3 | 0 8 27 | 5 24 24 |
| 1719 | 9 8 45 | 8 19 47 | 11 29 24 | 6 22 6 | 11 27 43 | 5 5 37 |
| 1720 | 27 6 17 | 9 8 9 | 11 5 1 | 8 0 49 | 0 16 6 | 4 15 17 |
+-------+----------+----------+----------+------------+--------+----------+
| 1721 | 16 15 6 | 8 27 25 | 9 14 49 | 8 8 52 | 0 5 23 | 3 26 31 |
| 1722 | 5 23 55 | 8 16 41 | 7 24 38 | 8 16 55 | 11 24 40 | 3 7 45 |
| 1723 | 24 21 27 | 9 5 3 | 7 0 15 | 9 25 38 | 0 13 4 | 2 17 26 |
| 1724 | 13 6 16 | 8 24 19 | 5 10 3 | 10 3 41 | 0 2 22 | 1 28 41 |
| 1725 | 2 15 4 | 8 13 45 | 3 19 51 | 10 11 43 | 11 21 39 | 1 9 56 |
+-------+----------+----------+----------+----------+----------+----------+
| 1726 | 21 12 37 | 9 1 57 | 2 25 28 | 11 20 26 | 0 10 3 | 0 19 37 |
| 1727 | 10 21 26 | 8 21 13 | 1 5 16 | 11 28 29 | 11 29 20 | 0 0 51 |
| 1728 | 28 18 58 | 9 9 35 | 0 10 53 | 1 7 13 | 0 17 43 | 11 10 30 |
| 1729 | 18 3 47 | 8 28 51 | 10 20 41 | 1 15 15 | 0 7 0 | 10 21 45 |
| 1730 | 7 12 36 | 8 18 7 | 9 0 29 | 1 23 18 | 11 26 17 | 10 2 59 |
+-------+----------+----------+----------+----------+----------+----------+
| 1731 | 26 10 8 | 9 6 29 | 8 6 6 | 3 2 1 | 0 14 40 | 9 12 39 |
| 1732 | 14 18 57 | 8 25 45 | 6 15 54 | 3 10 3 | 0 3 57 | 8 23 54 |
| 1733 | 4 3 45 | 8 14 49 | 4 25 43 | 3 18 6 | 11 23 14 | 8 5 7 |
| 1734 | 23 1 18 | 9 3 25 | 4 1 20 | 4 26 49 | 0 11 37 | 7 14 48 |
| 1735 | 12 10 7 | 8 22 39 | 2 11 8 | 5 4 52 | 0 0 54 | 6 26 1 |
+-------+----------+----------+----------+----------+----------+----------+
| 1736 | 30 7 39 | 0 11 1 | 1 16 45 | 6 13 35 | 0 19 17 | 6 5 42 |
| 1737 | 19 16 28 | 9 0 1 | 11 26 33 | 6 21 38 | 0 8 34 | 5 16 56 |
| 1738 | 9 1 17 | 8 19 33 | 10 6 21 | 6 29 42 | 11 27 51 | 4 28 9 |
| 1739 | 27 22 49 | 9 7 55 | 9 11 58 | 8 8 24 | 0 16 14 | 4 7 50 |
| 1740 | 16 7 38 | 8 27 11 | 7 21 46 | 8 16 27 | 0 5 30 | 3 19 3 |
+-------+----------+----------+----------+----------+----------+----------+
| 1741 | 5 16 26 | 8 16 27 | 6 1 34 | 8 24 30 | 11 24 47 | 3 0 16 |
| 1742 | 24 13 59 | 9 4 49 | 5 7 11 | 10 3 12 | 0 13 10 | 2 9 58 |
| 1743 | 13 22 48 | 8 24 5 | 3 16 59 | 10 11 15 | 0 2 27 | 1 21 12 |
| 1744 | 2 7 36 | 8 13 21 | 1 26 48 | 10 19 18 | 11 21 44 | 1 2 25 |
| 1745 | 21 5 9 | 9 1 43 | 1 2 25 | 11 28 0 | 0 10 7 | 0 12 7 |
+-------+----------+----------+----------+----------+----------+----------+
| 1746 | 10 13 58 | 8 20 59 | 11 12 13 | 0 6 3 | 11 29 44 | 11 23 20 |
| 1747 | 29 11 30 | 9 9 21 | 10 17 50 | 1 14 45 | 0 17 47 | 11 3 2 |
| 1748 | 17 20 19 | 8 28 37 | 8 27 38 | 1 22 49 | 0 7 4 | 10 14 15 |
| 1749 | 7 5 8 | 8 17 53 | 7 7 26 | 2 0 53 | 11 26 21 | 9 25 28 |
| 1750 | 26 2 40 | 9 6 15 | 6 13 3 | 3 9 35 | 0 14 44 | 9 5 9 |
+-------+----------+----------+----------+----------+----------+----------+
| 1751 | 15 11 29 | 8 25 32 | 4 22 51 | 3 17 38 | 0 4 1 | 8 16 23 |
| 1752 | 3 20 17 | 8 14 47 | 3 2 39 | 3 25 41 | 11 23 18 | 7 27 37 |
| 1753 | 22 17 50 | 9 3 10 | 2 8 16 | 5 4 24 | 0 11 41 | 7 7 17 |
| 1754 | 12 2 39 | 8 22 26 | 0 18 4 | 5 12 27 | 0 0 59 | 6 18 32 |
| 1755 | 1 11 27 | 8 11 41 | 10 27 52 | 5 20 30 | 11 20 16 | 5 29 45 |
+-------+----------+----------+----------+----------+----------+----------+
| 1756 | 19 9 0 | 9 0 4 | 10 3 30 | 6 29 13 | 0 8 39 | 5 9 27 |
| 1757 | 8 17 49 | 8 19 20 | 8 13 18 | 7 10 15 | 11 27 56 | 4 20 41 |
| 1758 | 27 15 21 | 9 7 42 | 7 18 55 | 8 15 58 | 0 16 19 | 4 0 21 |
| 1759 | 17 0 10 | 8 26 58 | 5 28 43 | 8 24 1 | 0 5 36 | 3 11 36 |
| 1760 | 5 8 58 | 8 16 13 | 4 8 31 | 9 2 4 | 11 24 53 | 2 22 49 |
+-------+----------+----------+----------+----------+----------+----------+
| 1761 | 24 6 31 | 9 4 35 | 3 14 8 | 10 10 47 | 0 13 16 | 2 2 29 |
| 1762 | 13 15 19 | 8 23 52 | 1 23 56 | 10 18 51 | 0 2 33 | 1 13 44 |
| 1763 | 3 0 8 | 8 13 7 | 0 3 44 | 10 26 53 | 11 21 50 | 0 24 57 |
| 1764 | 20 21 41 | 9 1 29 | 11 9 21 | 0 5 36 | 0 10 13 | 0 4 37 |
| 1765 | 10 6 30 | 8 20 46 | 9 19 9 | 0 13 38 | 11 29 30 | 11 15 52 |
+-------+----------+----------+----------+----------+----------+----------+
| 1766 | 29 4 2 | 9 9 8 | 8 24 46 | 1 22 21 | 0 17 53 | 10 25 32 |
| 1767 | 18 12 51 | 8 28 24 | 7 4 35 | 2 0 24 | 0 7 10 | 10 6 47 |
| 1768 | 6 21 39 | 8 17 39 | 5 14 23 | 2 8 27 | 11 26 27 | 9 18 1 |
| 1769 | 25 19 12 | 9 6 2 | 4 20 0 | 3 17 0 | 0 14 50 | 8 27 41 |
| 1770 | 15 4 1 | 8 25 17 | 2 29 48 | 3 25 12 | 0 4 7 | 8 8 56 |
+-------+----------+----------+----------+----------+----------+----------+
| 1771 | 4 12 49 | 8 14 33 | 1 9 36 | 4 3 16 | 11 23 24 | 7 20 8 |
| 1772 | 22 10 22 | 9 2 56 | 0 15 13 | 5 11 49 | 0 11 47 | 6 29 48 |
| 1773 | 11 19 10 | 8 22 11 | 10 25 1 | 5 20 1 | 0 1 4 | 6 11 3 |
| 1774 | 1 3 59 | 8 11 27 | 9 4 49 | 5 28 4 | 11 20 21 | 5 22 17 |
| 1775 | 20 1 32 | 8 29 50 | 8 10 26 | 7 6 4 | 0 8 44 | 5 1 57 |
+-------+----------+----------+----------+----------+----------+----------+
| 1776 | 8 10 20 | 8 19 5 | 6 20 14 | 7 14 50 | 11 28 1 | 4 13 12 |
| 1777 | 27 7 53 | 9 7 27 | 5 25 51 | 8 23 23 | 0 16 24 | 3 22 52 |
| 1778 | 16 16 42 | 8 26 43 | 4 5 40 | 9 1 36 | 0 5 41 | 3 4 6 |
| 1779 | 6 1 30 | 8 15 59 | 2 15 28 | 9 9 39 | 11 24 58 | 2 15 19 |
| 1780 | 23 23 3 | 9 4 21 | 1 21 5 | 10 18 22 | 0 13 21 | 1 24 59 |
+-------+----------+---------+----------+----------+----------+----------+
| 1781 | 13 7 52 | 8 23 37 | 0 0 53 | 10 26 24 | 0 2 38 | 1 6 14 |
| 1782 | 2 16 40 | 8 12 53 | 10 10 41 | 11 4 27 | 11 21 54 | 0 17 27 |
| 1783 | 21 14 13 | 9 1 15 | 9 16 18 | 0 13 10 | 0 10 17 | 11 27 7 |
| 1784 | 9 23 2 | 8 20 32 | 7 26 6 | 0 21 13 | 11 29 34 | 11 8 22 |
| 1785 | 28 20 35 | 9 8 54 | 7 1 43 | 1 29 56 | 0 17 57 | 10 18 2 |
+-------+----------+---------+----------+----------+----------+----------+
| 1786 | 18 5 23 | 8 28 9 | 5 11 31 | 2 7 59 | 0 7 14 | 9 29 16 |
| 1787 | 7 14 11 | 8 17 25 | 3 21 19 | 2 16 2 | 11 26 31 | 9 10 29 |
| 1788 | 25 11 44 | 9 5 47 | 2 26 56 | 3 24 45 | 0 14 54 | 8 20 9 |
| 1789 | 14 20 33 | 8 25 3 | 1 6 45 | 4 2 47 | 0 4 11 | 8 1 25 |
| 1790 | 4 5 21 | 8 14 19 | 11 16 33 | 4 10 50 | 11 23 28 | 7 12 38 |
+-------+----------+---------+----------+----------+----------+----------+
| 1791 | 23 2 54 | 9 2 41 | 10 22 10 | 5 19 33 | 0 11 51 | 6 22 18 |
| 1792 | 11 11 43 | 8 21 57 | 9 1 58 | 5 27 56 | 0 1 7 | 6 3 32 |
| 1793 | 0 20 31 | 8 11 12 | 7 11 45 | 6 5 39 | 11 20 24 | 5 14 45 |
| 1794 | 19 18 4 | 8 29 35 | 6 17 23 | 7 14 22 | 0 8 48 | 4 24 27 |
| 1795 | 9 2 52 | 8 18 51 | 4 27 11 | 7 22 25 | 11 28 6 | 4 5 41 |
+-------+----------+---------+----------+----------+----------+----------+
| 1796 | 27 0 25 | 9 7 13 | 4 2 48 | 9 1 8 | 0 16 29 | 3 15 21 |
| 1797 | 16 9 14 | 8 26 29 | 2 12 36 | 9 9 10 | 0 5 46 | 2 26 36 |
| 1798 | 5 18 2 | 8 15 44 | 0 22 24 | 9 17 13 | 11 25 3 | 2 7 50 |
| 1799 | 24 15 35 | 9 4 6 | 11 28 1 | 10 25 56 | 0 13 26 | 1 17 30 |
| 1800 | 13 0 24 | 8 23 23 | 10 7 49 | 11 3 59 | 0 2 43 | 0 28 44 |
+-------+----------+---------+----------+------------+--------+----------+
+-------------------------------------------------------------------------+
| TABLE II. _The mean New Moons, &c. in_ March _to the New Style_. |
+-------+----------+----------+----------+----------+----------+----------+
|Years |Mean time |The Sun’s |The Moon’s|The Sun’s |The Sun’s |The Node’s|
|of |of New | mean | mean |distance |Longitude |Longitude |
|CHRIST.|Moon in |Anomaly. |Anomaly. |from the |from |from |
| |_March_. | | | Node. |Aries. |Aries. |
+-------+----------+----------+----------+----------+----------+----------+
| | D. H. M. | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ |
+-------+----------+----------+----------+----------+----------+----------+
| 1753 | 4 5 6 | 7 4 2 | 1 12 27 | 4 3 44 | 11 12 35 | 7 8 50 |
| 1754 | 23 2 39 | 8 22 26 | 0 18 4 | 5 12 27 | 0 0 59 | 6 18 32 |
| 1755 | 12 11 27 | 8 11 41 | 10 27 52 | 5 20 29 | 11 20 16 | 5 29 45 |
+-------+----------+----------+----------+----------+----------+----------+
| 1756 | 30 9 0 | 9 0 3 | 10 3 29 | 6 29 12 | 0 8 39 | 5 9 27 |
| 1757 | 19 17 49 | 8 19 19 | 8 13 17 | 7 7 15 | 11 27 56 | 4 20 41 |
| 1758 | 9 2 37 | 8 8 35 | 6 23 5 | 7 15 18 | 11 17 13 | 4 1 54 |
| 1759 | 28 0 9 | 8 26 58 | 5 28 43 | 8 24 1 | 0 5 36 | 3 11 36 |
| 1760 | 16 8 58 | 8 16 14 | 4 8 31 | 9 2 4 | 11 24 53 | 2 22 49 |
+-------+----------+----------+----------+----------+----------+----------+
| 1761 | 5 7 47 | 8 5 29 | 2 18 19 | 9 10 9 | 11 14 10 | 2 4 1 |
| 1762 | 24 15 19 | 8 23 52 | 1 23 56 | 10 18 51 | 0 2 33 | 1 13 44 |
| 1763 | 14 0 8 | 8 13 7 | 0 3 44 | 10 26 53 | 11 21 50 | 0 24 57 |
| 1764 | 2 8 57 | 8 2 23 | 10 13 32 | 11 4 57 | 11 11 7 | 0 6 10 |
| 1765 | 21 6 30 | 8 20 46 | 9 19 9 | 0 13 38 | 11 29 30 | 11 15 52 |
+-------+----------+----------+----------+----------+----------+----------+
| 1766 | 10 15 18 | 8 10 1 | 7 28 58 | 0 21 41 | 11 18 47 | 10 27 5 |
| 1767 | 29 12 51 | 8 28 23 | 7 4 35 | 2 0 23 | 0 7 10 | 10 6 47 |
| 1768 | 17 21 39 | 8 17 39 | 5 14 23 | 2 8 26 | 11 26 27 | 9 18 1 |
| 1769 | 7 6 28 | 8 6 55 | 3 24 11 | 2 16 29 | 11 15 44 | 8 29 15 |
| 1770 | 26 4 1 | 8 25 18 | 2 29 48 | 3 25 11 | 0 4 7 | 8 8 56 |
+-------+----------+----------+----------+----------+----------+----------+
| 1771 | 15 12 49 | 8 14 33 | 1 9 36 | 4 3 16 | 11 23 24 | 7 20 8 |
| 1772 | 3 21 38 | 8 3 49 | 11 19 24 | 4 11 19 | 11 12 41 | 7 1 22 |
| 1773 | 22 19 10 | 8 22 11 | 10 25 1 | 5 20 1 | 0 1 4 | 6 11 3 |
| 1774 | 12 3 59 | 8 11 27 | 9 4 49 | 5 28 4 | 11 20 21 | 5 22 17 |
| 1775 | 1 12 48 | 8 0 43 | 7 14 37 | 6 6 7 | 11 9 38 | 5 3 30 |
+-------+----------+----------+----------+----------+----------+----------+
| 1776 | 19 10 20 | 8 19 5 | 6 20 14 | 7 14 50 | 11 28 1 | 4 13 12 |
| 1777 | 8 19 9 | 8 8 21 | 5 0 2 | 7 22 53 | 11 17 18 | 3 24 25 |
| 1778 | 27 16 42 | 8 26 43 | 4 5 40 | 9 1 36 | 0 5 41 | 3 4 6 |
| 1779 | 17 1 30 | 8 15 59 | 2 15 28 | 9 9 39 | 11 24 58 | 2 15 19 |
| 1780 | 5 10 19 | 8 5 15 | 0 25 16 | 9 17 42 | 11 14 15 | 1 26 32 |
+-------+----------+----------+----------+----------+----------+----------+
| 1781 | 24 7 52 | 8 23 37 | 0 0 53 | 10 26 24 | 0 2 38 | 1 6 14 |
| 1782 | 13 16 40 | 8 12 53 | 10 10 41 | 11 4 27 | 11 21 54 | 0 17 27 |
| 1783 | 3 1 29 | 8 2 8 | 8 20 29 | 11 12 30 | 11 11 11 | 11 28 40 |
| 1784 | 20 23 2 | 8 20 32 | 7 26 6 | 0 21 13 | 11 29 34 | 11 8 22 |
| 1785 | 10 7 50 | 8 9 47 | 6 5 54 | 0 29 16 | 11 18 51 | 10 19 35 |
+-------+----------+----------+----------+----------+----------+----------+
| 1786 | 29 5 23 | 8 28 9 | 5 11 31 | 2 7 59 | 0 7 14 | 9 29 16 |
| 1787 | 18 14 11 | 8 17 25 | 3 21 19 | 2 16 2 | 11 26 31 | 9 10 29 |
| 1788 | 6 23 0 | 8 6 41 | 2 1 7 | 2 24 5 | 11 15 48 | 8 21 43 |
| 1789 | 25 20 33 | 8 25 3 | 1 6 45 | 4 2 47 | 0 4 11 | 8 1 25 |
| 1790 | 15 5 21 | 8 14 19 | 11 16 33 | 4 10 50 | 11 23 28 | 7 12 38 |
+-------+----------+----------+----------+----------+----------+----------+
| 1791 | 4 14 10 | 8 3 34 | 9 26 21 | 4 18 53 | 11 12 44 | 6 23 51 |
| 1792 | 22 11 43 | 8 21 57 | 9 1 58 | 5 27 36 | 0 1 7 | 6 3 32 |
| 1793 | 11 20 31 | 8 11 12 | 7 11 45 | 6 5 39 | 11 20 24 | 5 14 45 |
| 1794 | 1 6 20 | 8 0 29 | 5 21 34 | 6 13 42 | 11 9 22 | 4 7 15 |
| 1795 | 20 2 52 | 8 18 51 | 4 27 11 | 7 22 25 | 11 28 6 | 4 5 41 |
+-------+----------+----------+----------+----------+----------+----------+
| 1796 | 8 11 41 | 8 8 6 | 3 6 59 | 8 0 28 | 11 17 23 | 3 16 54 |
| 1797 | 27 9 14 | 8 26 29 | 2 12 36 | 9 9 10 | 0 5 46 | 2 26 36 |
| 1798 | 16 18 2 | 8 15 44 | 0 22 24 | 9 17 13 | 11 25 3 | 2 7 50 |
| 1799 | 6 2 51 | 8 5 0 | 11 2 12 | 9 25 16 | 11 14 20 | 1 19 3 |
| 1800 | 25 0 24 | 8 23 23 | 10 7 49 | 11 3 59 | 0 2 43 | 0 28 44 |
+-------+----------+----------+----------+----------+----------+----------+
+-------------------------------------------------------------------------+
| TABLE III. _The mean time of Full Moon in_ March, _the mean Anomaly |
| of the Sun and Moon, the Sun’s mean Distance from the |
| Ascending Node; with the mean Longitude of the Sun and Node |
| from the beginning of the Sign Aries, at the time of all the Full |
| Moons in_ March _for 100 years, Old Style_. |
+-------+----------+----------+----------+----------+----------+----------+
|Years |Mean time |The Sun’s |The Moon’s|The Sun’s |The Sun’s |The Node’s|
|of |of Full | mean | mean |distance |Longitude |Longitude |
|CHRIST.|Moon in |Anomaly. |Anomaly. |from the |from |from |
| |_March._ | | | Node. |Aries. |Aries. |
+-------+----------+----------+----------+----------+----------+----------+
| | D. H. M. | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ |
+-------+----------+----------+----------+----------+----------+----------+
| 1701 | 12 19 23 | 8 23 56 | 6 15 11 | 7 7 55 | 0 1 30 | 4 23 35 |
| 1702 | 2 4 12 | 8 13 6 | 4 24 59 | 7 15 57 | 11 20 47 | 4 4 48 |
| 1703 | 21 1 45 | 9 1 28 | 4 0 35 | 8 24 40 | 0 9 10 | 3 14 30 |
| 1704 | 9 10 33 | 8 19 57 | 2 10 24 | 9 2 43 | 11 28 27 | 2 25 43 |
| 1705 | 28 8 6 | 9 8 27 | 1 16 0 | 10 11 26 | 0 16 50 | 2 5 25 |
+-------+----------+----------+----------+----------+----------+----------+
| 1706 | 17 16 54 | 8 28 11 | 11 25 48 | 10 19 29 | 0 6 7 | 1 16 38 |
| 1707 | 7 1 43 | 8 17 44 | 10 5 37 | 10 27 32 | 11 25 24 | 0 27 51 |
| 1708 | 24 23 16 | 9 5 43 | 9 11 14 | 0 6 15 | 0 13 47 | 0 7 33 |
| 1709 | 14 8 4 | 8 25 15 | 7 21 2 | 0 14 18 | 0 3 4 | 11 18 46 |
| 1710 | 3 16 54 | 8 13 59 | 6 0 50 | 0 22 21 | 11 22 21 | 11 0 0 |
+-------+----------+----------+----------+----------+----------+----------+
| 1711 | 22 14 27 | 9 2 0 | 5 6 27 | 2 1 3 | 0 10 44 | 10 9 42 |
| 1712 | 10 23 14 | 8 20 35 | 3 16 16 | 2 9 6 | 0 0 1 | 9 20 55 |
| 1713 | 29 20 47 | 9 10 21 | 2 21 52 | 3 17 48 | 0 18 23 | 9 0 35 |
| 1714 | 19 5 36 | 8 29 25 | 1 1 40 | 3 25 53 | 0 7 40 | 8 11 48 |
| 1715 | 8 14 24 | 8 19 4 | 11 11 28 | 4 3 56 | 11 26 57 | 7 23 1 |
+-------+----------+----------+----------+----------+----------+----------+
| 1716 | 26 11 57 | 9 5 59 | 0 17 5 | 5 12 38 | 0 15 20 | 7 2 43 |
| 1717 | 15 20 45 | 8 26 31 | 18 26 53 | 5 20 41 | 0 4 37 | 6 13 56 |
| 1718 | 5 5 34 | 8 15 58 | 7 6 42 | 5 28 44 | 11 23 54 | 5 25 10 |
| 1719 | 24 3 7 | 9 4 20 | 6 12 18 | 7 7 26 | 0 12 17 | 5 4 52 |
| 1720 | 12 11 55 | 8 23 36 | 4 22 7 | 7 15 29 | 0 1 34 | 4 16 5 |
+-------+----------+----------+----------+----------+----------+----------+
| 1721 | 1 20 44 | 8 12 52 | 3 1 55 | 7 23 32 | 11 20 51 | 3 27 18 |
| 1722 | 20 18 17 | 9 1 14 | 2 7 32 | 9 2 15 | 0 9 14 | 3 6 59 |
| 1723 | 10 3 5 | 8 20 30 | 0 17 21 | 9 10 18 | 11 28 31 | 2 18 12 |
| 1724 | 28 0 38 | 9 8 52 | 11 22 57 | 10 19 0 | 0 16 55 | 1 27 55 |
| 1725 | 17 9 26 | 8 28 18 | 10 2 45 | 10 27 3 | 0 6 12 | 1 9 9 |
+-------+----------+----------+----------+----------+----------+----------+
| 1726 | 6 18 15 | 8 17 24 | 8 12 34 | 11 5 6 | 11 25 30 | 0 20 23 |
| 1727 | 25 15 48 | 9 5 46 | 7 18 10 | 0 13 49 | 0 13 53 | 0 0 5 |
| 1728 | 14 0 36 | 8 25 2 | 5 27 59 | 0 21 52 | 0 3 10 | 11 11 18 |
| 1729 | 3 9 25 | 8 14 18 | 4 7 47 | 0 29 55 | 11 22 27 | 10 22 32 |
| 1730 | 22 6 58 | 9 2 40 | 3 13 23 | 2 8 38 | 0 10 50 | 10 2 13 |
+-------+----------+----------+----------+----------+----------+----------+
| 1731 | 11 15 46 | 8 21 56 | 1 23 12 | 2 16 41 | 0 0 7 | 9 13 26 |
| 1732 | 29 13 19 | 9 10 18 | 0 28 48 | 3 25 23 | 0 18 30 | 8 23 8 |
| 1733 | 18 22 7 | 8 29 22 | 11 8 37 | 4 3 26 | 0 7 47 | 8 4 21 |
| 1734 | 8 6 56 | 8 18 50 | 9 18 26 | 4 11 29 | 11 27 4 | 7 15 34 |
| 1735 | 27 4 29 | 9 7 12 | 8 24 2 | 5 20 12 | 0 15 27 | 6 25 15 |
+-------+----------+----------+----------+----------+----------+----------+
| 1736 | 15 13 17 | 8 26 29 | 7 3 51 | 5 28 15 | 0 4 44 | 6 6 29 |
| 1737 | 4 22 6 | 8 15 44 | 5 13 39 | 6 6 18 | 11 24 1 | 5 17 42 |
| 1738 | 23 19 39 | 9 4 6 | 4 19 15 | 7 15 1 | 0 12 24 | 4 27 24 |
| 1739 | 13 4 27 | 8 23 22 | 2 29 4 | 7 23 4 | 0 1 41 | 4 8 37 |
| 1740 | 1 13 16 | 8 12 38 | 1 8 52 | 8 1 7 | 11 20 57 | 3 19 50 |
+-------+----------+----------+----------+----------+----------+----------+
| 1741 | 20 10 48 | 9 1 0 | 0 14 28 | 9 9 49 | 0 9 20 | 2 29 30 |
| 1742 | 9 19 37 | 8 20 16 | 10 24 17 | 9 17 52 | 11 28 37 | 2 10 44 |
| 1743 | 28 17 10 | 9 8 38 | 9 29 53 | 10 26 35 | 0 17 0 | 1 20 26 |
| 1744 | 17 1 58 | 8 27 54 | 8 9 42 | 11 4 38 | 0 6 17 | 1 1 39 |
| 1745 | 6 10 47 | 8 17 10 | 6 19 31 | 11 12 41 | 11 25 34 | 0 12 52 |
+-------+----------+----------+----------+----------+----------+----------+
| 1746 | 25 8 19 | 9 5 32 | 5 25 7 | 0 21 24 | 0 13 57 | 11 22 34 |
| 1747 | 14 17 8 | 8 24 48 | 4 4 56 | 0 29 27 | 0 3 14 | 11 3 47 |
| 1748 | 3 1 57 | 8 14 4 | 2 14 44 | 1 7 30 | 11 22 31 | 10 15 0 |
| 1749 | 21 23 30 | 9 2 26 | 1 20 20 | 2 16 12 | 0 10 54 | 9 24 42 |
| 1750 | 11 8 18 | 8 21 42 | 0 0 9 | 2 24 15 | 0 0 11 | 9 5 59 |
+-------+----------+----------+----------+----------+----------+----------+
| 1751 | 30 5 51 | 9 10 5 | 11 5 45 | 4 2 58 | 0 18 34 | 8 15 37 |
| 1752 | 18 14 39 | 8 29 20 | 9 15 33 | 4 11 1 | 0 7 51 | 7 26 50 |
| 1753 | 7 23 18 | 7 18 35 | 7 25 21 | 4 19 4 | 11 27 8 | 7 8 4 |
| 1754 | 26 21 1 | 9 6 59 | 7 0 58 | 7 27 47 | 0 15 32 | 6 17 45 |
| 1755 | 16 5 49 | 8 26 14 | 5 10 46 | 6 5 49 | 0 4 49 | 5 29 0 |
+-------+----------+----------+----------+----------+----------+----------+
| 1756 | 4 14 38 | 8 15 30 | 3 20 35 | 6 13 52 | 11 24 6 | 5 10 14 |
| 1757 | 23 12 11 | 9 3 53 | 2 26 12 | 7 25 35 | 0 12 29 | 4 19 54 |
| 1758 | 12 20 59 | 8 23 8 | 1 5 59 | 8 0 38 | 0 1 46 | 4 1 9 |
| 1759 | 2 5 47 | 8 12 25 | 11 15 48 | 8 8 41 | 11 21 3 | 3 12 22 |
| 1760 | 20 3 20 | 9 0 46 | 10 21 25 | 9 17 24 | 0 9 26 | 2 22 2 |
+-------+----------+----------+----------+----------+----------+----------+
| 1761 | 9 12 9 | 8 20 2 | 9 1 13 | 9 25 27 | 11 28 43 | 2 3 16 |
| 1762 | 28 9 41 | 9 8 25 | 8 6 50 | 11 4 11 | 0 17 6 | 1 12 57 |
| 1763 | 17 18 30 | 8 27 40 | 6 16 38 | 11 12 13 | 0 6 23 | 0 24 11 |
| 1764 | 6 3 19 | 8 16 56 | 4 26 26 | 11 20 16 | 11 25 40 | 0 5 24 |
| 1765 | 25 0 52 | 9 5 19 | 4 2 3 | 0 28 58 | 0 14 3 | 11 15 5 |
+-------+----------+----------+----------+----------+----------+----------+
| 1766 | 14 9 40 | 8 24 34 | 2 11 52 | 1 7 1 | 0 3 20 | 10 26 20 |
| 1767 | 7 18 29 | 8 13 50 | 0 21 41 | 1 15 4 | 11 22 37 | 10 7 34 |
| 1768 | 21 16 1 | 9 2 12 | 11 27 17 | 2 23 47 | 0 11 0 | 9 17 14 |
| 1769 | 11 0 50 | 8 21 28 | 10 7 9 | 3 1 49 | 0 0 17 | 8 28 28 |
| 1770 | 0 9 39 | 8 10 44 | 8 16 57 | 3 9 52 | 11 19 54 | 8 9 42 |
+-------+----------+----------+----------+----------+----------+----------+
| 1771 | 19 7 11 | 8 29 6 | 7 22 30 | 4 18 36 | 0 7 57 | 7 19 21 |
| 1772 | 7 16 0 | 8 18 22 | 6 2 18 | 4 26 39 | 11 27 14 | 7 0 35 |
| 1773 | 26 13 32 | 9 6 44 | 5 7 55 | 6 5 21 | 0 15 37 | 6 10 16 |
| 1774 | 15 22 21 | 8 26 0 | 3 17 43 | 6 13 24 | 0 4 54 | 5 21 31 |
| 1775 | 5 7 10 | 8 15 16 | 1 27 31 | 6 21 27 | 11 24 11 | 5 2 44 |
+-------+----------+----------+----------+----------+----------+----------+
| 1776 | 23 4 42 | 9 3 38 | 1 3 8 | 8 0 10 | 0 12 34 | 4 12 25 |
| 1777 | 12 13 31 | 8 22 54 | 11 12 56 | 8 8 13 | 0 1 51 | 8 23 30 |
| 1778 | 1 22 20 | 8 12 10 | 9 22 45 | 8 16 16 | 11 21 8 | 3 4 52 |
| 1779 | 20 19 52 | 9 0 32 | 8 28 22 | 9 24 59 | 0 9 31 | 2 14 32 |
| 1780 | 9 4 41 | 8 19 48 | 7 8 10 | 10 3 1 | 11 28 48 | 1 25 47 |
+-------+----------+----------+----------+----------+----------+----------+
| 1781 | 28 2 14 | 9 8 9 | 6 13 47 | 11 11 44 | 0 17 11 | 1 5 27 |
| 1782 | 19 11 2 | 8 27 28 | 4 23 34 | 11 19 47 | 0 6 27 | 0 6 41 |
| 1783 | 6 19 51 | 8 16 44 | 3 3 23 | 11 27 50 | 11 25 44 | 11 27 54 |
| 1784 | 24 17 24 | 9 5 4 | 2 9 0 | 1 6 35 | 0 14 7 | 11 7 35 |
| 1785 | 14 2 12 | 8 24 20 | 0 18 48 | 1 14 36 | 0 3 24 | 10 18 48 |
+-------+----------+----------+----------+----------+----------+----------+
| 1786 | 3 11 1 | 8 13 36 | 10 28 37 | 1 22 39 | 11 22 41 | 10 0 2 |
| 1787 | 22 8 33 | 9 1 57 | 10 4 13 | 3 1 22 | 0 11 4 | 9 9 42 |
| 1788 | 10 17 22 | 8 21 14 | 8 14 2 | 3 9 25 | 0 0 21 | 8 20 57 |
| 1789 | 29 14 55 | 9 9 36 | 7 19 39 | 4 18 7 | 0 18 44 | 8 0 38 |
| 1790 | 18 23 43 | 8 28 52 | 5 29 27 | 4 26 10 | 0 8 1 | 7 11 51 |
+-------+----------+----------+----------+----------+----------+----------+
| 1791 | 8 8 32 | 8 18 8 | 4 9 15 | 5 4 13 | 11 27 17 | 6 23 4 |
| 1792 | 26 6 5 | 9 6 20 | 3 14 52 | 6 12 56 | 0 15 40 | 6 2 45 |
| 1793 | 15 14 53 | 8 25 46 | 1 24 40 | 6 20 59 | 0 4 58 | 5 13 59 |
| 1794 | 4 23 42 | 8 15 2 | 0 4 29 | 6 29 2 | 11 24 15 | 4 25 13 |
| 1795 | 23 21 14 | 9 3 14 | 11 10 5 | 8 7 45 | 0 12 39 | 4 4 54 |
+-------+----------+----------+----------+----------+----------+----------+
| 1796 | 12 6 3 | 8 22 39 | 9 19 53 | 8 15 48 | 0 1 56 | 3 16 8 |
| 1797 | 1 14 52 | 8 11 55 | 7 29 42 | 8 23 50 | 11 21 13 | 2 27 23 |
| 1798 | 20 12 24 | 9 0 7 | 7 5 18 | 10 2 33 | 0 9 36 | 2 7 3 |
| 1799 | 9 21 13 | 8 19 33 | 5 15 6 | 10 10 36 | 11 28 53 | 1 18 18 |
| 1800 | 27 18 46 | 9 7 46 | 4 20 43 | 11 19 19 | 0 17 16 | 0 27 57 |
+-------+----------+----------+----------+----------+----------+----------+
+-------------------------------------------------------------------------+
| TABLE IV. _The mean Full Moons, &c. in_ March _to the New Style_. |
+-------+----------+----------+----------+----------+----------+----------+
|Years |Mean time |The Sun’s |The Moon’s|The Sun’s |The Sun’s |The Node’s|
|of |of Full | mean | mean |distance |Longitude |Longitude |
|CHRIST.|Moon in |Anomaly. |Anomaly. |from the |from |from |
| |_March_. | | | Node. |Aries. |Aries. |
+-------+----------+----------+----------+----------+----------+----------+
| | D. H. M. | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ |
+-------+----------+----------+----------+----------+----------+----------+
| 1753 | 18 23 18 | 7 18 35 | 7 25 21 | 4 19 4 | 11 27 8 | 7 8 4 |
| 1754 | 8 8 17 | 7 7 53 | 6 5 10 | 4 27 7 | 11 16 26 | 6 19 18 |
| 1755 | 27 5 49 | 8 26 14 | 5 10 46 | 6 5 49 | 0 4 49 | 5 29 0 |
+-------+----------+----------+----------+----------+----------+----------+
| 1756 | 15 14 38 | 8 15 30 | 3 20 35 | 6 13 52 | 11 24 6 | 5 10 14 |
| 1757 | 4 23 27 | 8 4 36 | 2 0 23 | 6 21 55 | 11 13 23 | 4 21 27 |
| 1758 | 23 20 59 | 8 23 8 | 1 5 59 | 8 0 38 | 0 1 46 | 4 1 9 |
| 1759 | 13 5 47 | 8 12 25 | 11 15 48 | 8 8 41 | 11 21 3 | 3 12 22 |
| 1760 | 1 14 36 | 8 1 41 | 9 25 37 | 8 16 44 | 11 10 20 | 2 23 35 |
+-------+----------+----------+----------+----------+----------+----------+
| 1761 | 20 12 9 | 8 20 2 | 9 1 13 | 9 25 27 | 11 28 43 | 2 3 16 |
| 1762 | 9 20 57 | 8 9 19 | 7 11 2 | 10 3 31 | 11 18 0 | 1 14 29 |
| 1763 | 28 18 30 | 8 27 40 | 6 16 38 | 11 12 13 | 0 6 23 | 0 24 11 |
| 1764 | 17 3 19 | 8 16 56 | 4 26 26 | 11 20 16 | 11 25 40 | 0 5 24 |
| 1765 | 6 12 8 | 8 6 13 | 3 6 15 | 11 28 19 | 11 14 57 | 11 16 38 |
+-------+----------+----------+----------+----------+----------+----------+
| 1766 | 25 9 40 | 8 24 34 | 2 11 52 | 1 7 1 | 0 3 20 | 10 26 20 |
| 1767 | 18 18 29 | 8 13 50 | 0 21 41 | 1 15 4 | 11 22 37 | 10 7 33 |
| 1768 | 3 3 17 | 8 3 6 | 11 1 29 | 1 23 7 | 11 11 54 | 9 18 46 |
| 1769 | 22 0 50 | 8 21 28 | 10 7 5 | 3 1 49 | 0 0 17 | 8 28 28 |
| 1770 | 11 9 39 | 8 15 45 | 8 16 54 | 3 9 52 | 11 19 34 | 8 9 42 |
+-------+----------+----------+----------+----------+----------+----------+
| 1771 | 30 7 11 | 8 29 6 | 7 22 30 | 4 18 36 | 0 7 57 | 7 19 21 |
| 1772 | 18 16 0 | 8 18 22 | 6 2 18 | 4 26 39 | 11 27 14 | 7 0 35 |
| 1773 | 8 0 48 | 8 7 38 | 4 12 7 | 5 4 42 | 11 16 31 | 6 11 49 |
| 1774 | 26 22 21 | 8 26 0 | 3 17 43 | 6 13 24 | 0 4 54 | 5 21 31 |
| 1775 | 16 7 10 | 8 15 16 | 1 27 31 | 6 21 27 | 11 24 11 | 5 2 44 |
+-------+----------+----------+----------+----------+----------+----------+
| 1776 | 4 15 58 | 8 4 32 | 0 7 20 | 6 29 30 | 11 13 28 | 4 13 58 |
| 1777 | 23 13 31 | 8 22 54 | 11 12 56 | 8 8 13 | 0 1 51 | 3 23 39 |
| 1778 | 12 22 20 | 8 12 10 | 9 22 45 | 8 16 16 | 11 21 8 | 3 4 52 |
| 1779 | 2 7 8 | 8 1 26 | 8 2 34 | 8 24 19 | 11 10 25 | 2 16 5 |
| 1780 | 20 4 41 | 8 19 48 | 7 8 10 | 10 3 1 | 11 28 48 | 1 25 47 |
+-------+----------+----------+----------+----------+----------+----------+
| 1781 | 9 13 30 | 8 9 4 | 5 17 59 | 10 11 4 | 11 18 5 | 1 7 0 |
| 1782 | 28 11 2 | 8 27 28 | 4 23 34 | 11 19 47 | 0 6 27 | 0 16 41 |
| 1783 | 17 19 51 | 8 16 44 | 3 3 23 | 11 27 50 | 11 25 44 | 11 27 54 |
| 1784 | 6 4 40 | 8 5 59 | 1 13 12 | 0 5 53 | 11 15 1 | 11 9 7 |
| 1785 | 25 2 12 | 8 24 20 | 0 18 48 | 1 14 36 | 0 3 24 | 10 18 48 |
+-------+----------+----------+----------+----------+----------+----------+
| 1786 | 14 11 1 | 8 13 36 | 10 28 37 | 1 22 39 | 11 22 41 | 10 0 2 |
| 1787 | 3 19 49 | 8 2 52 | 9 8 25 | 2 0 42 | 11 11 58 | 9 11 15 |
| 1788 | 21 17 22 | 8 21 14 | 8 14 2 | 3 9 25 | 0 0 21 | 8 20 57 |
| 1789 | 11 2 11 | 8 10 30 | 6 23 51 | 3 17 28 | 11 19 38 | 8 2 10 |
| 1790 | 29 23 43 | 8 28 52 | 5 29 27 | 4 26 10 | 0 8 1 | 7 11 51 |
+-------+----------+----------+----------+----------+----------+----------+
| 1791 | 19 8 32 | 8 18 8 | 4 9 15 | 5 4 13 | 11 27 17 | 6 23 4 |
| 1792 | 7 17 21 | 8 7 24 | 2 19 4 | 5 12 16 | 11 16 34 | 6 4 17 |
| 1793 | 26 14 53 | 8 25 46 | 1 24 40 | 6 20 59 | 0 4 58 | 5 13 59 |
| 1794 | 15 23 42 | 8 15 2 | 0 4 29 | 6 29 2 | 11 24 15 | 4 25 13 |
| 1795 | 5 8 30 | 8 4 18 | 10 14 17 | 7 7 5 | 0 13 32 | 4 6 26 |
+-------+----------+----------+----------+----------+----------+----------+
| 1796 | 23 6 3 | 8 22 39 | 9 19 53 | 8 15 48 | 0 1 56 | 3 16 8 |
| 1797 | 12 14 52 | 8 11 55 | 7 29 42 | 8 23 50 | 11 21 13 | 2 27 23 |
| 1798 | 1 23 40 | 8 1 11 | 6 9 30 | 9 1 53 | 11 10 30 | 2 8 36 |
| 1799 | 20 21 13 | 8 19 33 | 5 15 6 | 10 10 36 | 11 28 53 | 1 18 18 |
| 1800 | 10 6 2 | 8 8 50 | 3 24 55 | 10 18 39 | 11 18 10 | 0 29 31 |
+-------+----------+----------+----------+----------+----------+----------+
+----------------------------------------------------------------------------+
| TAB. V. _The first mean Conjunction of the Sun and Moon after a compleat |
| Century, beginning with_ March, _for 5000 years 10 days 7 hours 56 |
| minutes (in which time there are just 61843 mean Lunations) with the |
| mean Anomaly of the Sun and Moon, the Sun’s mean distance from the |
| Ascending Node, and the mean Long. of the Sun and Node from the |
| beginning of the sign Aries, at the times of all those mean |
| Conjunctions_. |
+---------+-----------+----------+----------+----------+----------+----------+
|Centuries| First |The Sun’s |The Moon’s|The Sun’s |The Sun’s |The Node’s|
| of |Conjunction| mean | mean |distance |Longitude |Longitude |
|_Julian_ | after a | Anomaly. | Anomaly. |from the |from |from |
| Years. | Century. | | |Node. |Aries. |Aries. |
+ +-----------+----------+----------+----------+----------+----------+
| | D. H. M. | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ |
+---------+-----------+----------+----------+----------+----------+----------+
| 100 | 4 8 11 | 0 3 21 | 8 15 22 | 4 19 27 | 0 5 2 | 4 14 25 |
| 200 | 8 16 22 | 0 6 42 | 5 0 44 | 9 8 55 | 0 10 4 | 8 28 51 |
| 300 | 13 0 33 | 0 10 3 | 1 16 6 | 1 28 22 | 0 15 6 | 1 13 16 |
| 400 | 17 8 43 | 0 13 24 | 10 1 28 | 6 17 49 | 0 20 8 | 5 27 41 |
| 500 | 21 16 54 | 0 16 46 | 6 16 50 | 11 7 16 | 0 25 10 | 10 12 6 |
+---------+-----------+----------+----------+----------+----------+----------+
| 600 | 26 1 5 | 0 20 7 | 3 2 12 | 3 26 44 | 1 0 12 | 2 26 32 |
| 700 | 0 20 32 | 11 24 22 | 10 21 45 | 7 15 31 | 0 6 7 | 7 9 24 |
| 800 | 5 4 43 | 11 27 43 | 7 7 7 | 0 4 58 | 0 11 9 | 11 23 49 |
| 900 | 9 12 54 | 0 1 4 | 3 22 29 | 4 24 25 | 0 16 12 | 4 8 13 |
| 1000 | 13 21 5 | 0 4 25 | 0 7 51 | 9 13 53 | 0 21 14 | 8 22 39 |
+---------+-----------+----------+----------+----------+----------+----------+
| 1100 | 18 5 16 | 0 7 46 | 8 23 13 | 2 3 20 | 0 26 16 | 1 7 4 |
| 1200 | 22 13 26 | 0 11 7 | 5 8 35 | 6 22 47 | 1 1 18 | 5 21 29 |
| 1300 | 26 21 37 | 0 14 28 | 1 23 57 | 11 12 15 | 1 6 20 | 10 5 55 |
| 1400 | 1 17 4 | 11 18 43 | 9 13 30 | 3 1 2 | 0 12 15 | 2 18 47 |
| 1500 | 6 1 15 | 11 22 4 | 5 28 52 | 7 20 29 | 0 17 17 | 7 3 12 |
+---------+-----------+----------+----------+----------+----------+----------+
| 1600 | 10 9 26 | 11 25 25 | 2 14 14 | 0 9 56 | 0 22 19 | 11 17 37 |
| 1700 | 14 17 37 | 11 28 46 | 10 29 36 | 4 29 23 | 0 27 22 | 4 2 2 |
| 1800 | 19 1 48 | 0 2 8 | 7 14 58 | 9 18 51 | 1 2 24 | 8 16 27 |
| 1900 | 23 9 58 | 0 5 29 | 4 0 20 | 2 8 18 | 1 7 26 | 1 0 52 |
| 2000 | 27 18 9 | 0 8 50 | 0 15 42 | 6 27 45 | 1 12 28 | 5 15 17 |
+---------+-----------+----------+----------+----------+----------+----------+
| 2100 | 2 13 36 | 11 13 5 | 8 5 15 | 10 16 32 | 0 18 24 | 9 28 8 |
| 2200 | 6 21 47 | 11 16 26 | 4 20 37 | 3 6 0 | 0 23 26 | 2 12 34 |
| 2300 | 11 5 58 | 11 19 47 | 1 5 59 | 7 25 27 | 0 28 28 | 6 26 59 |
| 2400 | 15 14 9 | 11 23 8 | 9 21 21 | 0 14 54 | 1 3 30 | 11 11 24 |
| 2500 | 19 22 20 | 11 26 29 | 6 6 43 | 5 4 11 | 1 8 32 | 3 25 49 |
+---------+-----------+----------+----------+----------+----------+----------+
| 2600 | 24 6 31 | 11 29 50 | 2 22 4 | 9 23 49 | 1 13 35 | 8 10 14 |
| 2700 | 28 14 41 | 0 3 11 | 11 17 26 | 2 13 16 | 1 18 37 | 0 24 39 |
| 2800 | 3 10 8 | 11 7 26 | 6 26 59 | 6 2 3 | 0 24 31 | 5 7 33 |
| 2900 | 7 18 19 | 11 10 47 | 3 12 21 | 10 21 30 | 0 29 33 | 9 21 58 |
| 3000 | 12 2 30 | 11 14 8 | 11 27 43 | 3 10 58 | 1 4 35 | 2 6 23 |
+---------+-----------+----------+----------+----------+----------+----------+
| 3100 | 16 10 41 | 11 17 30 | 8 13 5 | 8 10 25 | 1 9 37 | 6 20 48 |
| 3200 | 20 18 52 | 11 20 51 | 4 28 27 | 0 19 52 | 1 14 39 | 11 5 13 |
| 3300 | 25 3 3 | 11 24 11 | 1 13 49 | 5 9 20 | 1 19 41 | 3 19 39 |
| 3400 | 29 11 14 | 11 27 32 | 9 29 11 | 9 28 47 | 1 24 43 | 8 4 4 |
| 3500 | 4 6 41 | 11 1 47 | 5 18 44 | 1 17 34 | 1 0 41 | 0 16 53 |
+---------+-----------+----------+----------+----------+----------+----------+
| 3600 | 8 14 52 | 11 4 58 | 2 4 6 | 6 7 1 | 1 5 42 | 5 1 19 |
| 3700 | 12 23 3 | 11 8 9 | 10 19 28 | 10 26 28 | 1 10 43 | 9 15 45 |
| 3800 | 17 7 14 | 11 11 20 | 7 4 50 | 3 15 55 | 1 15 45 | 2 0 10 |
| 3900 | 21 15 25 | 11 14 31 | 4 20 12 | 8 5 22 | 1 20 47 | 6 14 35 |
| 4000 | 25 23 36 | 11 17 42 | 1 5 34 | 0 24 49 | 1 25 49 | 10 29 0 |
+---------+-----------+----------+----------+----------+----------+----------+
| 4100 | 0 19 3 | 10 22 56 | 8 25 7 | 4 13 36 | 1 0 45 | 3 12 51 |
| 4200 | 5 3 14 | 10 26 17 | 5 10 29 | 9 3 3 | 1 6 47 | 7 6 16 |
| 4300 | 9 11 25 | 10 29 37 | 1 25 51 | 1 12 30 | 1 11 48 | 11 25 39 |
| 4400 | 13 19 36 | 11 2 58 | 10 11 13 | 6 1 57 | 1 16 51 | 4 10 4 |
| 4500 | 18 3 46 | 11 6 18 | 6 26 35 | 10 21 24 | 1 21 53 | 8 29 31 |
+---------+-----------+----------+----------+----------+----------+----------+
| 4600 | 22 11 57 | 11 9 39 | 3 11 15 | 3 10 51 | 1 26 55 | 1 13 56 |
| 4700 | 26 20 7 | 11 12 59 | 11 27 19 | 8 0 16 | 2 1 57 | 5 28 19 |
| 4800 | 1 15 34 | 10 17 14 | 7 16 52 | 11 19 4 | 1 7 53 | 10 11 11 |
| 4900 | 5 23 45 | 10 20 35 | 4 2 14 | 4 8 30 | 1 12 55 | 2 25 35 |
| 5000 | 10 7 56 | 10 23 56 | 0 17 36 | 8 27 57 | 1 17 57 | 7 10 0 |
+---------+-----------+----------+----------+----------+----------+----------+
+-----------------------------------------------------------------------------+
| TABLE VI. _The mean Anomaly of the Sun and Moon, the Sun’s mean |
| distance from the Ascending Node, with the mean Longitude of the Sun |
| and Node from the beginning of the Sign Aries, for 13 mean Lunations._ |
+----------+-----------+----------+----------+----------+----------+----------+
| | |The Sun’s |The Moon’s|The Sun’s |The Sun’s |The Node’s|
|Lunations.| Mean | mean | mean |motion | mean |retrograde|
| |Lunations. |Anomaly. | Anomaly. |from |Motion. |Motion. |
| | | | |the Node. | | |
| +-----------+----------+----------+----------+----------+----------+
| | D. H. M. | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ | s ° ʹ |
+----------+-----------+----------+----------+----------+----------+----------+
| 1 | 29 12 44 | 0 29 6| 0 25 49 | 1 0 40 | 0 29 6 | 0 1 34 |
| 2 | 59 1 28 | 1 28 13| 1 21 38 | 2 1 20 | 1 28 13 | 0 3 8 |
| 3 | 88 14 12 | 2 27 19| 2 17 27 | 3 2 1 | 2 27 19 | 0 4 41 |
| 4 | 118 2 56 | 3 26 26| 3 13 16 | 4 2 41 | 3 26 26 | 0 6 15 |
| 5 | 147 15 4 | 4 25 32| 4 9 5 | 5 3 21 | 4 25 32 | 0 7 49 |
+----------+-----------+----------+----------+----------+----------+----------+
| 6 | 177 4 24 | 5 24 38 | 5 4 54 | 6 4 1 | 5 24 38 | 0 9 23 |
| 7 | 206 17 8 | 6 23 44 | 6 0 43 | 7 4 42 | 6 23 45 | 0 10 57 |
| 8 | 236 5 52 | 7 22 50 | 6 26 32 | 8 5 22 | 7 22 51 | 0 12 31 |
| 9 | 265 18 36 | 8 21 57 | 7 22 21 | 9 6 2 | 8 21 58 | 0 14 4 |
| 10 | 295 7 21 | 9 21 3 | 8 18 10 | 10 6 42 | 9 21 4 | 0 15 38 |
+----------+-----------+----------+----------+----------+----------+----------+
| 11 | 324 20 5 | 10 20 9 | 9 13 59 | 11 7 22 | 10 20 10 | 0 17 12 |
| 12 | 354 8 49 | 11 19 16 | 10 9 48 | 0 8 3 | 11 19 17 | 0 18 46 |
| 13 | 383 21 33 | 0 18 22 | 11 5 37 | 1 8 43 | 0 18 23 | 0 20 20 |
+----------+-----------+----------+----------+----------+----------+----------+
The first, second, third, and fourth Tables may be continued, by means
of the sixth, to any length of time: for, by adding 12 Lunations to the
mean time of the New or Full Moon which happens next after the 11th day
of _March_, and then, casting out 365 days in common years, and 366 days
in leap-years, we have the mean time of New or Full Moon in _March_ the
following year. But when the mean New or Full Moon happens on or before
the 11th of _March_, there must be 13 Lunations added to carry it to
_March_ again. The Anomalies, Sun’s distance from the Node, and
Longitude of the Sun, are found the same way, by adding them for 12 or
13 Lunations. But the retrograde Motion of the Node for these Lunations
must be subtracted from it’s longitude from Aries in _March_, to have
it’s Longitude or Place in the _March_ following.
+----------------------------------------------------+
| TABLE VII. _The number of Days, reckoned |
| from the beginning of_ March, _answering to |
| the Days of all the mean New and Full Moons_. |
+----+---+---+---+---+---+---+---+---+---+---+---+---+
|Days|Mar|Apr|May|Jun|Jul|Aug|Sep|Oct|Nov|Dec|Jan|Feb|
+----+---+---+---+---+---+---+---+---+---+---+---+---+
| 1 | 1| 32| 62| 93|123|154|185|215|246|276|307|338|
| 2 | 2| 33| 63| 94|124|155|186|216|247|277|308|339|
| 3 | 3| 34| 64| 95|125|156|187|217|248|278|309|340|
| 4 | 4| 35| 65| 96|126|157|188|218|249|279|310|341|
| 5 | 5| 36| 66| 97|127|158|189|219|250|280|311|342|
+----+---+---+---+---+---+---+---+---+---+---+---+---+
| 6 | 6| 37| 67| 98|128|159|190|220|251|281|312|343|
| 7 | 7| 38| 68| 99|129|160|191|221|252|282|313|344|
| 8 | 8| 39| 69|100|130|161|192|222|253|283|314|345|
| 9 | 9| 40| 70|101|131|162|193|223|254|284|315|346|
| 10 | 10| 41| 71|102|132|163|194|224|255|285|316|347|
+----+---+---+---+---+---+---+---+---+---+---+---+---+
| 11 | 11| 42| 72|103|133|164|195|225|256|286|317|348|
| 12 | 12| 43| 73|104|134|165|196|226|257|287|318|349|
| 13 | 13| 44| 74|105|135|166|197|227|258|288|319|350|
| 14 | 14| 45| 75|106|136|167|198|228|259|289|320|351|
| 15 | 15| 46| 76|107|137|168|199|229|260|290|321|352|
+----+---+---+---+---+---+---+---+---+---+---+---+---+
| 16 | 16| 47| 77|108|138|169|200|230|261|291|322|353|
| 17 | 17| 48| 78|109|139|170|201|231|262|292|323|354|
| 18 | 18| 49| 79|110|140|171|202|232|263|293|324|355|
| 19 | 19| 50| 80|111|141|172|203|233|264|294|325|356|
| 20 | 20| 51| 81|112|142|173|204|234|265|295|326|357|
+----+---+---+---+---+---+---+---+---+---+---+---+---+
| 21 | 21| 52| 82|113|143|174|205|235|266|296|327|358|
| 22 | 22| 53| 83|114|144|175|206|236|267|297|328|359|
| 23 | 23| 54| 84|115|145|176|207|237|268|298|329|360|
| 24 | 24| 55| 85|116|146|177|208|238|269|299|330|361|
| 25 | 25| 56| 86|117|147|178|209|239|270|300|331|362|
+----+---+---+---+---+---+---+---+---+---+---+---+---+
| 26 | 26| 57| 87|118|148|179|210|240|271|301|332|363|
| 27 | 27| 58| 88|119|149|180|211|241|272|302|333|364|
| 28 | 28| 59| 89|120|150|181|212|242|273|303|334|365|
| 29 | 29| 60| 90|121|151|182|213|243|274|304|335|366|
| 30 | 30| 61| 91|122|152|183|214|244|275|305|336|---|
| 31 | 31| --| 92|---|153|184|---|245|---|306|337|---|
+----+---+---+---+---+---+---+---+---+---+---+---+---+
+-----------------------------------------+
|TABLE VIII. _The Moon’s annual Equation._|
+-----+-----------------------------+-----+
|Sun’s| Subtract |Sun’s|
|Ano. +----+----+----+----+----+----+Ano. |
| | 0 | 1 | 2 | 3 | 4 | 5 | |
| | S. | S. | S. | S. | S. | S. | |
+-----+----+----+----+----+----+----+-----+
| D. | M. | M. | M. | M. | M. | M. | D. |
+-----+----+----+----+----+----+----+-----+
| 0 | 0 | 11 | 18 | 22 | 19 | 11 | 30 |
| 1 | 0 | 11 | 19 | 22 | 19 | 11 | 29 |
| 2 | 1 | 11 | 19 | 22 | 18 | 10 | 28 |
| 3 | 1 | 11 | 19 | 22 | 18 | 10 | 27 |
| 4 | 1 | 12 | 19 | 22 | 18 | 10 | 26 |
| 5 | 2 | 12 | 19 | 22 | 18 | 9 | 25 |
| 6 | 2 | 12 | 19 | 21 | 18 | 9 | 24 |
| 7 | 3 | 13 | 20 | 21 | 17 | 9 | 23 |
| 8 | 3 | 13 | 20 | 21 | 17 | 8 | 22 |
| 9 | 3 | 13 | 20 | 21 | 17 | 8 | 21 |
| 10 | 4 | 14 | 20 | 21 | 17 | 8 | 20 |
| 11 | 4 | 14 | 20 | 21 | 16 | 7 | 19 |
| 12 | 4 | 14 | 20 | 21 | 16 | 7 | 18 |
| 13 | 5 | 14 | 20 | 21 | 16 | 6 | 17 |
| 14 | 5 | 15 | 20 | 21 | 16 | 6 | 16 |
| 15 | 5 | 15 | 21 | 21 | 15 | 6 | 15 |
| 16 | 6 | 15 | 21 | 21 | 15 | 5 | 14 |
| 17 | 6 | 15 | 21 | 21 | 15 | 5 | 13 |
| 18 | 6 | 16 | 21 | 21 | 15 | 5 | 12 |
| 19 | 7 | 16 | 21 | 20 | 14 | 4 | 11 |
| 20 | 7 | 16 | 21 | 20 | 14 | 4 | 10 |
| 21 | 7 | 16 | 21 | 20 | 14 | 3 | 9 |
| 22 | 8 | 17 | 21 | 20 | 13 | 3 | 8 |
| 23 | 8 | 17 | 21 | 20 | 13 | 3 | 7 |
| 24 | 9 | 17 | 21 | 20 | 13 | 2 | 6 |
| 25 | 9 | 17 | 21 | 20 | 13 | 2 | 5 |
| 26 | 9 | 18 | 21 | 20 | 12 | 2 | 4 |
| 27 | 10 | 18 | 21 | 19 | 12 | 1 | 3 |
| 28 | 10 | 18 | 21 | 19 | 12 | 1 | 2 |
| 29 | 10 | 18 | 22 | 19 | 11 | 0 | 1 |
| 30 | 11 | 18 | 22 | 19 | 11 | 0 | 0 |
+-----+----+----+----+----+----+----+-----+
|Sun’s| 11 | 10 | 9 | 8 | 7 | 6 |Sun’s|
|Ano. | S. | S. | S. | S. | S. | S. |Ano. |
| +----+----+----+----+----+----+ |
| | Add | |
+-----+-----------------------------+-----+
+-----------------------------------------+
| TABLE IX. _Equation of the Moon’s |
| mean Anomaly._ |
+-----+-----------------------------+-----+
|Sun’s| |Sun’s|
|Anom.| Add |Anom.|
+-----+----+----+----+----+----+----+-----+
| | 0 | 1 | 2 | 3 | 4 | 5 | |
| | S. | S. | S. | S. | S. | S. | |
+-----+----+----+----+----+----+----+-----+
| ° | ʹ | ʹ | ʹ | ʹ | ʹ | ʹ | ° |
+-----+----+----+----+----+----+----+-----+
| 0 | 0 | 10 | 17 | 20 | 17 | 10 | 30 |
| 1 | 0 | 10 | 17 | 20 | 17 | 10 | 29 |
| 2 | 1 | 11 | 17 | 20 | 17 | 9 | 28 |
| 3 | 1 | 11 | 18 | 20 | 17 | 9 | 27 |
| 4 | 1 | 11 | 18 | 20 | 17 | 9 | 26 |
| 5 | 2 | 12 | 18 | 20 | 17 | 9 | 25 |
| 6 | 2 | 12 | 18 | 20 | 16 | 8 | 24 |
| 7 | 2 | 12 | 18 | 20 | 16 | 8 | 23 |
| 8 | 3 | 12 | 18 | 20 | 16 | 8 | 22 |
| 9 | 3 | 12 | 19 | 20 | 16 | 7 | 21 |
| 10 | 3 | 13 | 19 | 20 | 16 | 7 | 20 |
| 11 | 4 | 13 | 19 | 20 | 15 | 7 | 19 |
| 12 | 4 | 13 | 19 | 20 | 15 | 6 | 18 |
| 13 | 4 | 13 | 19 | 19 | 15 | 6 | 17 |
| 14 | 5 | 14 | 19 | 19 | 15 | 6 | 16 |
| 15 | 5 | 14 | 19 | 19 | 14 | 5 | 15 |
| 16 | 5 | 14 | 19 | 19 | 14 | 5 | 14 |
| 17 | 6 | 14 | 19 | 19 | 14 | 5 | 13 |
| 18 | 6 | 15 | 19 | 19 | 14 | 4 | 12 |
| 19 | 6 | 15 | 20 | 19 | 13 | 4 | 11 |
| 20 | 7 | 15 | 20 | 19 | 13 | 4 | 10 |
| 21 | 7 | 15 | 20 | 19 | 13 | 3 | 9 |
| 22 | 7 | 16 | 20 | 19 | 13 | 3 | 8 |
| 23 | 8 | 16 | 20 | 19 | 12 | 3 | 7 |
| 24 | 8 | 16 | 20 | 18 | 12 | 2 | 6 |
| 25 | 8 | 16 | 20 | 18 | 12 | 2 | 5 |
| 26 | 9 | 16 | 20 | 18 | 11 | 1 | 4 |
| 27 | 9 | 17 | 20 | 18 | 11 | 1 | 3 |
| 28 | 9 | 17 | 20 | 18 | 11 | 1 | 2 |
| 29 | 10 | 17 | 20 | 18 | 10 | 0 | 1 |
| 30 | 10 | 17 | 20 | 17 | 10 | 0 | 0 |
+-----+----+----+----+----+----+----+-----+
| | 11 | 10 | 9 | 8 | 7 | 6 | |
|Sun’s| S. | S. | S. | S. | S. | S.|Sun’s|
|Anom.+----+----+----+----+----+----+Anom.|
| | Subtract | |
+-----+-----------------------------+-----+
+-------------------------------------------------------------+
| TABLE X. _The Moon’s elliptic Equation._ |
+------+-----------------------------------------------+------+
| | | |
|Moon’s| Add |Moon’s|
| +-------+-------+-------+-------+-------+-------+ |
| Ano. | 0 | 1 | 2 | 3 | 4 | 5 |Ano. |
| | Signs | Signs | Signs | Signs | Signs | Signs | |
+------+-------+-------+-------+-------+-------+-------+------+
| ° | H. M. | H. M. | H. M. | H. M. | H. M. | H. M. | ° |
+------+-------+-------+-------+-------+-------+-------+------+
| 0 | 0 0 | 4 49 | 8 8 | 9 2 | 7 32 | 4 14 | 30 |
| 1 | 0 10 | 4 57 | 8 12 | 9 1 | 7 27 | 4 6 | 29 |
| 2 | 0 20 | 5 5 | 8 16 | 9 0 | 7 22 | 3 58 | 28 |
| 3 | 0 30 | 5 13 | 8 20 | 8 59 | 7 17 | 3 50 | 27 |
| 4 | 0 40 | 5 21 | 8 24 | 8 58 | 7 12 | 3 42 | 26 |
| 5 | 0 50 | 5 29 | 8 28 | 8 57 | 7 6 | 3 34 | 25 |
| 6 | 1 0 | 5 37 | 8 31 | 8 55 | 7 0 | 3 26 | 24 |
| 7 | 1 10 | 5 45 | 8 34 | 8 53 | 6 54 | 3 18 | 23 |
| 8 | 1 20 | 5 53 | 8 37 | 8 51 | 6 48 | 3 10 | 22 |
| 9 | 1 30 | 6 1 | 8 40 | 8 49 | 6 42 | 3 2 | 21 |
| 10 | 1 40 | 6 9 | 8 43 | 8 47 | 6 36 | 2 53 | 20 |
| 11 | 1 50 | 6 16 | 8 45 | 8 44 | 6 30 | 2 45 | 19 |
| 12 | 2 0 | 6 23 | 8 47 | 8 41 | 6 24 | 2 37 | 18 |
| 13 | 2 10 | 6 30 | 8 49 | 8 38 | 6 18 | 2 29 | 17 |
| 14 | 2 20 | 6 37 | 8 51 | 8 35 | 6 11 | 2 21 | 16 |
| 15 | 2 30 | 6 44 | 8 53 | 8 32 | 6 4 | 2 12 | 15 |
| 16 | 2 40 | 6 51 | 8 55 | 8 29 | 5 57 | 2 3 | 14 |
| 17 | 2 50 | 6 58 | 8 57 | 8 26 | 5 50 | 1 54 | 13 |
| 18 | 3 0 | 7 4 | 8 59 | 8 23 | 5 43 | 1 45 | 12 |
| 19 | 3 10 | 7 10 | 9 0 | 8 20 | 5 36 | 1 36 | 11 |
| 20 | 3 19 | 7 16 | 9 1 | 8 16 | 5 29 | 1 27 | 10 |
| 21 | 3 28 | 7 22 | 9 2 | 8 12 | 5 22 | 1 19 | 9 |
| 22 | 3 37 | 7 28 | 9 2 | 8 8 | 5 15 | 1 11 | 8 |
| 23 | 3 46 | 7 33 | 9 3 | 8 4 | 5 8 | 1 3 | 7 |
| 24 | 3 55 | 7 38 | 9 3 | 8 0 | 5 1 | 0 54 | 6 |
| 25 | 4 4 | 7 43 | 9 4 | 7 56 | 4 54 | 0 45 | 5 |
| 26 | 4 13 | 7 48 | 9 4 | 7 52 | 4 46 | 0 36 | 4 |
| 27 | 4 22 | 7 53 | 9 4 | 7 47 | 4 38 | 0 27 | 3 |
| 28 | 4 31 | 7 58 | 9 3 | 7 42 | 4 30 | 0 18 | 2 |
| 29 | 4 40 | 8 3 | 9 3 | 7 37 | 4 22 | 0 9 | 1 |
| 30 | 4 49 | 8 8 | 9 2 | 7 32 | 4 14 | 0 0 | 0 |
+------+-------+-------+-------+-------+-------+-------+------+
| | 11 | 10 | 9 | 8 | 7 | 6 | |
|Moon’s| Signs | Signs | Signs | Signs | Signs | Signs |Moon’s|
| +-------+-------+-------+-------+-------+-------+ |
| Ano. | Subtract | Ano. |
+------+-----------------------------------------------+------+
+---------------------------------------------------------------+
| TABLE XI. _The Sun’s Equation at the time of |
| New and Full Moon._ |
+-------+-----------------------------------------------+-------+
| | Subtract | |
| Sun’s +-------+-------+-------+-------+-------+-------+ Sun’s |
| Anom. | 0 | 1 | 2 | 3 | 4 | 5 | Anom. |
| | Signs | Signs | Signs | Signs | Signs | Signs | |
+-------+-------+-------+-------+-------+-------+-------+-------+
| ° | H. M. | H. M. | H. M. | H. M. | H. M. | H. M. | ° |
+-------+-------+-------+-------+-------+-------+-------+-------+
| 0 | 0 0 | 1 44 | 3 2 | 3 32 | 3 5 | 1 48 | 30 |
| 1 | 0 4 | 1 47 | 3 3 | 3 32 | 3 3 | 1 45 | 29 |
| 2 | 0 7 | 1 50 | 3 5 | 3 32 | 3 2 | 1 42 | 28 |
| 3 | 0 11 | 1 53 | 3 7 | 3 32 | 3 0 | 1 38 | 27 |
| 4 | 0 14 | 1 57 | 3 9 | 3 32 | 2 58 | 1 35 | 26 |
| 5 | 0 18 | 2 0 | 3 10 | 3 31 | 2 56 | 1 31 | 25 |
| 6 | 0 22 | 2 3 | 3 12 | 3 31 | 2 54 | 1 28 | 24 |
| 7 | 0 25 | 2 6 | 3 14 | 3 31 | 2 52 | 1 24 | 23 |
| 8 | 0 29 | 2 8 | 3 16 | 3 30 | 2 50 | 1 21 | 22 |
| 9 | 0 32 | 2 11 | 3 17 | 4 30 | 2 48 | 1 17 | 21 |
| 10 | 0 36 | 2 14 | 3 18 | 3 30 | 2 45 | 1 14 | 20 |
| 11 | 0 40 | 2 17 | 3 19 | 3 29 | 2 43 | 1 11 | 19 |
| 12 | 0 43 | 2 20 | 3 20 | 3 29 | 2 40 | 1 7 | 18 |
| 13 | 0 47 | 2 22 | 3 21 | 3 28 | 2 37 | 1 4 | 17 |
| 14 | 0 50 | 2 25 | 3 22 | 3 27 | 2 35 | 1 0 | 16 |
| 15 | 0 54 | 2 28 | 3 23 | 3 26 | 2 32 | 0 56 | 15 |
| 16 | 0 57 | 2 30 | 3 24 | 3 25 | 2 29 | 0 52 | 14 |
| 17 | 1 0 | 2 32 | 3 25 | 3 24 | 2 26 | 0 49 | 13 |
| 18 | 1 4 | 2 35 | 3 26 | 3 23 | 2 23 | 0 45 | 12 |
| 19 | 1 7 | 2 38 | 3 27 | 3 22 | 2 21 | 0 41 | 11 |
| 20 | 1 11 | 2 40 | 3 28 | 3 21 | 2 18 | 0 38 | 10 |
| 21 | 1 14 | 2 43 | 3 28 | 3 20 | 2 15 | 0 34 | 9 |
| 22 | 1 17 | 2 45 | 3 29 | 3 19 | 2 12 | 0 30 | 8 |
| 23 | 1 21 | 2 47 | 3 29 | 3 18 | 2 10 | 0 26 | 7 |
| 24 | 1 24 | 2 49 | 3 30 | 3 17 | 2 7 | 0 23 | 6 |
| 25 | 1 28 | 2 51 | 3 30 | 3 15 | 2 4 | 0 19 | 5 |
| 26 | 1 31 | 2 54 | 3 31 | 3 13 | 2 1 | 0 15 | 4 |
| 27 | 1 34 | 2 57 | 3 31 | 3 11 | 1 58 | 0 11 | 3 |
| 28 | 1 38 | 2 59 | 3 31 | 3 9 | 1 55 | 0 7 | 2 |
| 29 | 1 41 | 3 1 | 3 32 | 3 7 | 1 52 | 0 4 | 1 |
| 30 | 1 44 | 3 2 | 3 32 | 3 5 | 1 48 | 0 0 | 0 |
+-------+-------+-------+-------+-------+-------+-------+-------+
| | 11 | 10 | 9 | 8 | 7 | 6 | |
| Sun’s | Signs | Signs | Signs | Signs | Signs | Signs | Sun’s |
| Anom. +-------+-------+-------+-------+-------+-------+ Anom. |
| | Add | |
+-------+-----------------------------------------------+-------+
+---------------------------------------------------------------+
| TABLE XII. _Equation of the Sun’s mean Place._ |
+-------+-----------------------------------------------+-------+
| | Subtract | |
| Sun’s +-------+-------+-------+-------+-------+-------+ Sun’s |
| Anom. | 0 | 1 | 2 | 3 | 4 | 5 | Anom. |
| | Signs | Signs | Signs | Signs | Signs | Signs | |
+-------+-------+-------+-------+-------+-------+-------+-------+
| ° | ° ʹ | ° ʹ | ° ʹ | ° ʹ | ° ʹ | ° ʹ | ° |
+-------+-------+-------+-------+-------+-------+-------+-------+
| 0 | 0 0 | 0 57 | 1 40 | 1 56 | 1 42 | 0 59 | 30 |
| 1 | 0 2 | 0 59 | 1 41 | 1 56 | 1 41 | 0 57 | 29 |
| 2 | 0 4 | 1 0 | 1 42 | 1 56 | 1 40 | 0 56 | 28 |
| 3 | 0 6 | 1 1 | 1 43 | 1 56 | 1 39 | 0 54 | 27 |
| 4 | 0 8 | 1 2 | 1 44 | 1 56 | 1 38 | 0 52 | 26 |
| 5 | 0 10 | 1 4 | 1 45 | 1 56 | 1 36 | 0 50 | 25 |
| 6 | 0 12 | 1 6 | 1 45 | 1 56 | 1 35 | 0 48 | 24 |
| 7 | 0 14 | 1 7 | 1 46 | 1 55 | 1 34 | 0 46 | 23 |
| 8 | 0 16 | 1 9 | 1 47 | 1 55 | 1 33 | 0 44 | 22 |
| 9 | 0 18 | 1 10 | 1 48 | 1 55 | 1 32 | 0 42 | 21 |
| 10 | 0 20 | 1 12 | 1 48 | 1 54 | 1 30 | 0 41 | 20 |
| 11 | 0 22 | 1 14 | 1 49 | 1 54 | 1 29 | 0 39 | 19 |
| 12 | 0 24 | 1 15 | 1 50 | 1 54 | 1 28 | 0 37 | 18 |
| 13 | 0 26 | 1 17 | 1 51 | 1 53 | 1 26 | 0 35 | 17 |
| 14 | 0 28 | 1 18 | 1 51 | 1 53 | 1 25 | 0 33 | 16 |
| 15 | 0 30 | 1 20 | 1 52 | 1 52 | 1 23 | 0 31 | 15 |
| 16 | 0 31 | 1 21 | 1 52 | 1 52 | 1 22 | 0 29 | 14 |
| 17 | 0 33 | 1 22 | 1 53 | 1 51 | 1 21 | 0 27 | 13 |
| 18 | 0 35 | 1 24 | 1 53 | 1 51 | 1 19 | 0 25 | 12 |
| 19 | 0 37 | 1 25 | 1 54 | 1 50 | 1 18 | 0 23 | 11 |
| 20 | 0 39 | 1 27 | 1 54 | 1 49 | 1 16 | 0 21 | 10 |
| 21 | 0 41 | 1 28 | 1 55 | 1 49 | 1 14 | 0 19 | 9 |
| 22 | 0 43 | 1 29 | 1 55 | 1 48 | 1 13 | 0 17 | 8 |
| 23 | 0 45 | 1 30 | 1 55 | 1 47 | 1 11 | 0 14 | 7 |
| 24 | 0 46 | 1 32 | 1 56 | 1 46 | 1 10 | 0 12 | 6 |
| 25 | 0 48 | 1 33 | 1 56 | 1 46 | 1 8 | 0 10 | 5 |
| 26 | 0 50 | 1 34 | 1 56 | 1 45 | 1 6 | 0 8 | 4 |
| 27 | 0 52 | 1 35 | 1 56 | 1 45 | 1 5 | 0 6 | 3 |
| 28 | 0 54 | 1 36 | 1 56 | 1 44 | 1 3 | 0 4 | 2 |
| 29 | 0 55 | 1 38 | 1 56 | 1 43 | 1 1 | 0 2 | 1 |
| 30 | 0 57 | 1 40 | 1 56 | 1 42 | 0 59 | 0 0 | 0 |
+-------+-------+-------+-------+-------+-------+-------+-------+
| | 11 | 10 | 9 | 8 | 7 | 6 | |
| Sun’s | Signs | Signs | Signs | Signs | Signs | Signs | Sun’s |
| Anom. +-------+-------+-------+-------+-------+-------+ Anom. |
| | Add | |
+-------+-----------------------------------------------+-------+
+-----------------------------------------+
| TABLE XIII. _Equation of the |
| Moon’s Nodes._ |
+-----+-----------------------------+-----+
| | Subtract | |
|Sun’s+----+----+----+----+----+----+Sun’s|
|Ano. | 0 | 1 | 2 | 3 | 4 | 5 |Ano. |
| | S. | S. | S. | S. | S. | S. | |
+-----+----+----+----+----+----+----+-----+
| ° | ʹ | ʹ | ʹ | ʹ | ʹ | ʹ | ° |
+-----+----+----+----+----+----+----+-----+
| 0 | 0 | 5 | 8 | 10 | 8 | 5 | 30 |
| 1 | 0 | 5 | 8 | 10 | 8 | 5 | 29 |
| 2 | 0 | 5 | 8 | 10 | 8 | 5 | 28 |
| 3 | 0 | 5 | 8 | 10 | 8 | 4 | 27 |
| 4 | 1 | 5 | 8 | 10 | 8 | 4 | 26 |
| 5 | 1 | 5 | 8 | 10 | 8 | 4 | 25 |
| 6 | 1 | 6 | 9 | 10 | 8 | 4 | 24 |
| 7 | 1 | 6 | 9 | 9 | 8 | 4 | 23 |
| 8 | 1 | 6 | 9 | 9 | 8 | 4 | 22 |
| 9 | 1 | 6 | 9 | 9 | 7 | 3 | 21 |
| 10 | 2 | 6 | 9 | 9 | 7 | 3 | 20 |
| 11 | 2 | 6 | 9 | 9 | 7 | 3 | 19 |
| 12 | 2 | 6 | 9 | 9 | 7 | 3 | 18 |
| 13 | 2 | 6 | 9 | 9 | 7 | 3 | 17 |
| 14 | 2 | 7 | 9 | 9 | 7 | 3 | 16 |
| 15 | 2 | 7 | 9 | 9 | 7 | 3 | 15 |
| 16 | 2 | 7 | 9 | 9 | 7 | 2 | 14 |
| 17 | 3 | 7 | 9 | 9 | 7 | 2 | 13 |
| 18 | 3 | 7 | 9 | 9 | 6 | 2 | 12 |
| 19 | 3 | 7 | 9 | 9 | 6 | 2 | 11 |
| 20 | 3 | 7 | 9 | 9 | 6 | 2 | 10 |
| 21 | 3 | 7 | 9 | 9 | 6 | 2 | 9 |
| 22 | 4 | 7 | 9 | 9 | 6 | 1 | 8 |
| 23 | 4 | 8 | 9 | 9 | 6 | 1 | 7 |
| 24 | 4 | 8 | 9 | 9 | 6 | 1 | 6 |
| 25 | 4 | 8 | 9 | 9 | 6 | 1 | 5 |
| 26 | 4 | 8 | 10 | 9 | 5 | 1 | 4 |
| 27 | 4 | 8 | 10 | 9 | 5 | 1 | 3 |
| 28 | 4 | 8 | 10 | 8 | 5 | 0 | 2 |
| 29 | 5 | 8 | 10 | 8 | 5 | 0 | 1 |
| 30 | 5 | 8 | 10 | 8 | 5 | 0 | 0 |
+-----+----+----+----+----+----+----+-----+
| | 11 | 10 | 9 | 8 | 7 | 6 | |
|Sun’s| S. | S. | S. | S. | S. | S. |Sun’s|
|Ano. +----+----+----+----+----+----+Ano. |
| | Add | |
+-----------------------------------+-----+
| The above titles, _Add_ and _Subtract_, |
| are right when the Equation is applied |
| to the Sun’s mean distance from the |
| Node; but when it is applied to the |
| mean place of the Node, the titles must |
| be changed. |
+-----------------------------------------+
+------------------------+
| TAB. XIV. _The |
| Moon’s latitude |
| in Eclipses._ |
+------------------------+
| Argument of Latit. |
+------+-----------------+
| Moon | |
| fr. | Sig. 0 N. A. |
| the | Sig. 6 S. D. |
| Node.| |
+------+----------+------+
| ° | ° ʹ ʺ | ° |
+------+----------+------+
| 0 | 0 0 0 | 30 |
| 1 | 0 5 15 | 29 |
| 2 | 0 10 30 | 28 |
| 3 | 0 15 44 | 27 |
| 4 | 0 20 59 | 26 |
| 5 | 0 26 13 | 25 |
| 6 | 0 31 26 | 24 |
| 7 | 0 36 39 | 23 |
| 8 | 0 41 51 | 22 |
| 9 | 0 47 2 | 21 |
| 10 | 0 52 13 | 20 |
| 11 | 0 57 23 | 19 |
| 12 | 1 2 31 | 18 |
| 13 | 1 7 38 | 17 |
| 14 | 1 12 44 | 16 |
| 15 | 1 17 49 | 15 |
| 16 | 1 22 52 | 14 |
| 17 | 1 27 53 | 13 |
| 18 | 1 32 54 | 12 |
+------+----------+------+
| | Moon |
| N. D. Sig. 5 | fr. |
| S. A. Sig. 11 | the |
| | Node.|
+-----------------+------+
| Argument of Latit. |
+------------------------+
| This Table extends |
| no farther than the |
| limits of Eclipses. |
| N. A. signifies North |
| Ascending Lat. S. A. |
| South Ascending; N. D. |
| North Descending; |
| and S. D. South |
| Descending. |
+------------------------+
+--------------------------------------------------------+
| TABLE XV. _The Moons Horizontal Parallax; |
| the Semidiameters and true Horary motions |
| of the Sun and Moon._ |
+--------------------------------------------------------+
| Anomaly of the Sun and Moon. |
| +------------------------------------------------+
| | Moon’s Horizontal Parallax. |
| | +----------------------------------------+
| | | Sun’s Semidiameter. |
| | | +--------------------------------+
| | | | Moon’s Semidiamet. |
| | | | +------------------------+
| | | | | Moon’s horary Mot. |
| | | | | +----------------+
| | | | | | Sun’s |
| | | | | | horary Mot. |
| | | | | | +---------+
| | | | | | | Anomaly |
| | | | | | | of the |
| | | | | | | Sun and |
| | | | | | | Moon. |
+-------+-------+-------+-------+-------+------+---------+
| ^s ° | ʹ ʺ | ʹ ʺ | ʹ ʺ | ʹ ʺ | ʹ ʺ | ^s ° |
+-------+-------+-------+-------+-------+------+---------+
| 0 0 | 54 59 | 15 50 | 14 54 | 30 10 | 2 23 | 12 0 |
| 6 | 54 59 | 15 50 | 14 55 | 30 12 | 2 23 | 24 |
| 12 | 55 0 | 15 50 | 14 56 | 30 15 | 2 23 | 18 |
| 18 | 55 4 | 15 51 | 14 57 | 30 18 | 2 23 | 12 |
| 24 | 55 11 | 15 51 | 14 58 | 30 26 | 2 23 | 6 |
| 1 0 | 55 20 | 15 52 | 14 59 | 30 34 | 2 23 | 11 0 |
| 6 | 55 30 | 15 53 | 15 1 | 30 44 | 2 24 | 24 |
| 12 | 55 40 | 13 54 | 15 4 | 30 55 | 2 24 | 18 |
| 18 | 55 51 | 15 55 | 15 8 | 31 9 | 2 24 | 12 |
| 24 | 56 0 | 15 56 | 15 12 | 31 23 | 2 25 | 6 |
| 2 0 | 56 11 | 15 58 | 15 17 | 31 40 | 2 25 | 10 0 |
| 6 | 56 24 | 15 59 | 15 22 | 31 58 | 2 26 | 24 |
| 12 | 56 41 | 16 1 | 15 26 | 32 17 | 2 27 | 18 |
| 18 | 57 12 | 16 2 | 15 30 | 32 39 | 2 27 | 12 |
| 24 | 57 30 | 16 4 | 15 36 | 33 11 | 2 28 | 6 |
| 3 0 | 57 49 | 16 6 | 15 41 | 33 23 | 2 28 | 9 0 |
| 6 | 58 10 | 16 8 | 15 46 | 33 47 | 2 29 | 24 |
| 12 | 58 31 | 16 9 | 15 52 | 34 11 | 2 29 | 18 |
| 18 | 58 52 | 16 11 | 15 58 | 34 34 | 2 29 | 12 |
| 24 | 59 11 | 16 13 | 16 3 | 34 58 | 2 30 | 6 |
| 4 0 | 59 30 | 16 14 | 16 9 | 35 22 | 2 30 | 8 0 |
| 6 | 59 52 | 16 15 | 16 14 | 35 45 | 2 31 | 24 |
| 12 | 60 9 | 16 17 | 16 19 | 36 0 | 2 31 | 18 |
| 18 | 60 26 | 16 19 | 16 24 | 36 20 | 2 32 | 12 |
| 24 | 60 40 | 16 20 | 16 28 | 36 40 | 2 32 | 6 |
| 5 0 | 60 54 | 16 21 | 16 31 | 37 0 | 2 32 | 7 0 |
| 6 | 61 4 | 16 21 | 16 34 | 37 10 | 2 33 | 24 |
| 12 | 61 11 | 16 22 | 16 37 | 37 19 | 2 33 | 18 |
| 18 | 61 16 | 16 22 | 16 38 | 37 28 | 2 33 | 12 |
| 24 | 61 20 | 16 23 | 16 39 | 37 36 | 2 33 | 6 |
| 6 0 | 61 24 | 16 23 | 16 39 | 37 40 | 2 33 | 6 0 |
+-------+-------+-------+-------+-------+------+---------+
| The gradual increase or decrease of the above numbers |
| being so small, it is sufficient to have them to every |
| sixth degree; the proportions for the intermediate |
| degrees being easily made by sight. |
+--------------------------------------------------------+
+----------------------------------+
| TABLE XVI. _The Sun’s mean |
| Motion and Anomaly._ |
+---------+-------------+----------+
| | Sun’s mean | Sun’s |
|Years of | Longitude | mean |
|Christ | from Aries. | Anomaly. |
|beginning+-------------+----------+
| | ^s ° ʹ ʺ | ^s ° ʹ|
+---------+-------------+----------+
O.S. | 1 | 9 7 53 10 | 6 29 54 |
| 1301 | 9 17 42 30 | 6 16 58 |
| 1401 | 9 18 27 50 | 6 15 59 |
| 1501 | 9 19 13 10 | 6 14 59 |
| 1601 | 9 19 58 30 | 6 13 59 |
| 1701 | 9 20 43 50 | 6 12 59 |
N.S. | 1753 | 9 10 16 52 | 6 1 38 |
| 1801 | 9 9 39 39 | 6 0 10 |
Old Style +---------+-------------+----------+
to the | | Sun’s mean | Sun’s |
beginning |Years of | Motion. | mean |
of A. D. |Christ | | Anomaly. |
1753; |compleat +-------------+----------+
then | | ^s ° ʹ ʺ | ^s ° ʹ|
New Style +---------+-------------+----------+
| 1 | 11 29 45 40 | 11 29 45 |
| 2 | 11 29 31 20 | 11 29 29 |
| 3 | 11 29 17 0 | 11 29 14 |
| 4 | 0 0 1 49 | 11 29 58 |
| 5 | 11 29 47 29 | 11 29 42 |
| 6 | 11 29 33 9 | 11 29 27 |
| 7 | 11 29 18 49 | 11 29 11 |
| 8 | 0 0 3 38 | 11 29 55 |
| 9 | 11 29 49 18 | 11 29 40 |
| 10 | 11 29 34 58 | 11 29 24 |
| 11 | 11 29 20 38 | 11 29 9 |
| 12 | 0 0 5 26 | 11 29 53 |
| 13 | 11 29 51 7 | 11 29 37 |
| 14 | 11 29 36 47 | 11 29 22 |
| 15 | 11 29 22 27 | 11 29 7 |
| 16 | 0 0 7 15 | 11 29 50 |
| 17 | 11 29 52 55 | 11 29 35 |
| 18 | 11 29 38 35 | 11 29 20 |
| 19 | 11 29 24 16 | 11 29 4 |
| 20 | 0 0 9 4 | 11 29 48 |
| 40 | 0 0 18 8 | 11 29 36 |
| 60 | 0 0 27 12 | 11 29 24 |
| 80 | 0 0 36 16 | 11 29 12 |
| 100 | 0 0 45 20 | 11 29 0 |
| 200 | 0 1 30 40 | 11 28 1 |
| 300 | 0 2 16 0 | 11 27 1 |
| 400 | 0 3 1 20 | 11 26 1 |
| 500 | 0 3 46 40 | 11 25 2 |
| 600 | 0 4 32 0 | 11 24 2 |
| 700 | 0 5 17 20 | 11 23 2 |
| 800 | 0 6 2 40 | 11 22 3 |
| 900 | 0 6 48 0 | 11 21 3 |
| 1000 | 0 7 33 20 | 11 20 3 |
| 2000 | 0 15 6 40 | 11 10 7 |
| 3000 | 0 22 40 0 | 11 0 10 |
| 4000 | 1 0 13 20 | 10 20 13 |
| 5000 | 1 7 46 40 | 10 10 16 |
| 6000 | 1 15 20 0 | 10 0 19 |
+---------+-------------+----------+
| | Sun’s mean | Sun’s |
| | Motion. | mean |
| | | Anomaly. |
| Months +-------------+----------+
| | ^s ° ʹ ʺ | ^s ° ʹ|
+---------+-------------+----------+
| Jan. | 0 0 0 0 | 0 0 0 |
| Feb. | 1 0 33 18 | 1 0 33 |
| Mar. | 1 28 9 11 | 1 28 9 |
| Apr. | 2 28 42 30 | 2 28 42 |
| May. | 3 28 16 40 | 3 28 17 |
| June | 4 28 49 58 | 4 28 50 |
| July | 5 28 24 8 | 5 28 24 |
| Aug. | 6 28 57 26 | 6 28 57 |
| Sep. | 7 29 30 44 | 7 29 30 |
| Oct. | 8 29 4 54 | 8 29 4 |
| Nov. | 9 29 38 12 | 9 29 37 |
| Dec. | 10 29 12 22 | 10 29 11 |
+---------+-------------+----------+
+-----+-------------+
| | Sun’s mean |
| | Motion and |
| | Anomaly. |
|Days.+-------------+
| | ^s ° ʹ ʺ |
+-----+-------------+
| 1 | 0 0 59 8 |
| 2 | 0 1 58 17 |
| 3 | 0 2 57 25 |
| 4 | 0 3 56 33 |
| 5 | 0 4 55 42 |
| 6 | 0 5 54 50 |
| 7 | 0 5 53 58 |
| 8 | 0 7 53 7 |
| 9 | 0 8 52 15 |
| 10 | 0 9 51 23 |
| 11 | 0 10 50 32 |
| 12 | 0 11 49 40 |
| 13 | 0 12 48 48 |
| 14 | 0 13 47 57 |
| 15 | 0 14 47 5 |
| 16 | 0 15 46 13 |
| 17 | 0 16 45 22 |
| 18 | 0 17 44 30 |
| 19 | 0 18 43 38 |
| 20 | 0 19 42 47 |
| 21 | 0 20 41 55 |
| 22 | 0 21 41 3 |
| 23 | 0 22 40 12 |
| 24 | 0 23 39 20 |
| 25 | 0 24 38 28 |
| 26 | 0 25 37 37 |
| 27 | 0 26 36 45 |
| 28 | 0 27 35 53 |
| 29 | 0 28 35 2 |
| 30 | 0 29 34 10 |
| 31 | 1 0 33 18 |
+-----+-------------+
| In Leap-years, |
| after _February_, |
| add one Day and |
| one Day’s motion. |
+-------------------+
+----------------------+
| Sun’s mean Motion |
| and Anomaly. |
+------+---------------+
|Hours.| Mot. & Ano. |
| +---------------+
| | ° ʹ ʺ |
| ʹ | ʹ ʺ ʺʹ |
| ʺ | ʺ ʺʹ ʺʺ |
+------+---------------+
| 1 | 0 2 28 |
| 2 | 0 4 56 |
| 3 | 0 7 24 |
| 4 | 0 9 51 |
| 5 | 0 12 19 |
| 6 | 0 14 47 |
| 7 | 0 17 15 |
| 8 | 0 19 43 |
| 9 | 0 22 11 |
| 10 | 0 24 38 |
| 11 | 0 27 6 |
| 12 | 0 29 34 |
| 13 | 0 32 2 |
| 14 | 0 34 30 |
| 15 | 0 36 58 |
| 16 | 0 39 26 |
| 17 | 0 41 53 |
| 18 | 0 44 21 |
| 19 | 0 46 49 |
| 20 | 0 49 17 |
| 21 | 0 51 45 |
| 22 | 0 54 13 |
| 23 | 0 56 40 |
| 24 | 0 59 8 |
| 25 | 1 1 36 |
| 26 | 1 4 4 |
| 27 | 1 6 32 |
| 28 | 1 9 0 |
| 29 | 1 11 28 |
| 30 | 1 13 55 |
| 31 | 1 16 23 |
| 32 | 1 18 51 |
| 33 | 1 21 19 |
| 34 | 1 23 47 |
| 35 | 1 26 15 |
| 36 | 1 28 42 |
| 37 | 1 31 10 |
| 38 | 1 33 38 |
| 39 | 1 36 6 |
| 40 | 1 38 34 |
| 41 | 1 41 2 |
| 42 | 1 43 30 |
| 43 | 1 45 57 |
| 44 | 1 48 25 |
| 45 | 1 50 53 |
| 46 | 1 53 21 |
| 47 | 1 55 49 |
| 48 | 1 58 17 |
| 49 | 2 0 44 |
| 50 | 2 3 12 |
| 51 | 2 5 40 |
| 52 | 2 8 8 |
| 53 | 2 10 36 |
| 54 | 2 13 4 |
| 55 | 2 15 32 |
| 56 | 2 17 59 |
| 57 | 2 20 27 |
| 58 | 2 22 55 |
| 59 | 2 25 23 |
| 60 | 2 27 51 |
+------+---------------+
| In Leap-years, after |
| _February_, add one |
| Day and one Day’s |
| motion. |
+----------------------+
+----------------------------------------------+
| TABLE XVII. _The Sun’s Declination |
| in every Degree of the Ecliptic._ |
+-----+-----------+-----------+-----------+----+
| | ♈ ♎ | ♉ ♏ | ♊ ♐ | |
|Signs| 0 6 | 1 7 | 2 8 | |
| | Nor. Sou. | Nor. Sou. | Nor. Sou. | |
+-----+-----------+-----------+-----------+----+
| ° | ° ʹ ʺ | ° ʹ ʺ | ° ʹ ʺ | ° |
+-----+-----------+-----------+-----------+----+
| 0 | 0 0 0 | 11 29 33 | 20 11 16 | 30 |
| 1 | 0 23 54 | 11 50 35 | 20 23 49 | 29 |
| 2 | 0 47 48 | 12 11 26 | 20 36 0 | 28 |
| 3 | 1 11 42 | 12 32 5 | 20 47 48 | 27 |
| 4 | 1 35 34 | 12 52 31 | 20 59 13 | 26 |
| 5 | 1 59 25 | 13 12 44 | 21 10 15 | 25 |
| 6 | 2 23 14 | 13 32 54 | 21 20 53 | 24 |
| 7 | 2 47 1 | 13 52 32 | 21 31 7 | 23 |
| 8 | 3 10 45 | 14 12 5 | 21 40 58 | 22 |
| 9 | 3 34 26 | 14 31 24 | 21 50 24 | 21 |
| 10 | 3 58 4 | 14 50 28 | 21 59 25 | 20 |
| 11 | 4 21 38 | 15 9 17 | 22 8 2 | 19 |
| 12 | 4 45 8 | 15 27 51 | 22 16 14 | 18 |
| 13 | 5 8 34 | 15 46 9 | 22 24 0 | 17 |
| 14 | 5 31 55 | 16 4 11 | 22 31 21 | 16 |
| 15 | 5 55 11 | 16 21 57 | 22 38 16 | 15 |
| 16 | 6 18 21 | 16 39 26 | 22 44 45 | 14 |
| 17 | 6 41 25 | 16 56 37 | 22 50 49 | 13 |
| 18 | 7 4 23 | 17 13 31 | 22 56 26 | 12 |
| 19 | 7 27 15 | 17 30 7 | 23 1 36 | 11 |
| 20 | 7 50 0 | 17 46 15 | 23 6 20 | 10 |
| 21 | 8 12 36 | 18 2 24 | 23 10 38 | 9 |
| 22 | 8 35 5 | 18 18 3 | 23 14 29 | 8 |
| 23 | 8 57 26 | 18 33 24 | 23 17 52 | 7 |
| 24 | 9 19 39 | 18 48 25 | 23 20 49 | 6 |
| 25 | 9 41 43 | 19 3 5 | 23 23 19 | 5 |
| 26 | 10 3 37 | 19 17 26 | 23 25 22 | 4 |
| 27 | 10 25 21 | 19 31 25 | 23 26 57 | 3 |
| 28 | 10 46 56 | 19 45 3 | 23 28 5 | 2 |
| 29 | 11 8 20 | 19 58 20 | 23 28 46 | 1 |
| 30 | 11 29 33 | 20 11 16 | 23 29 0 | 0 |
+-----+-----------+-----------+-----------+----+
| | ♓ ♍ | ♒ ♌ | ♑ ♋ | |
|Signs| 1 5 | 10 4 | 9 3 | |
| | Sou. Nor. | Sou. Nor. | Sou. Nor. | |
+-----+-----------+-----------+-----------+----+
| If the Sun’s place be taken from the Tables |
| on pag. 114 and 115, his declination may be |
| had thereby, near enough for common use, |
| from this Table, by entering it with the |
| signs at the head and degrees at the left |
| hand; or with the signs at the foot and |
| degrees at the right hand. Thus, _March_ |
| the 5th, the Sun’s place is ♓ 14° 53ʹ |
| (call it 15°, being so near) to which |
| answers 5° 55ʹ 11ʺ of the south |
| declination. |
+---------------------------------------------+
+---------------------------------+
| TABLE XVIII. _Lunations |
| from 1 to 100000._ |
+--------+---------+----+----+----+
| Lunat. | Days. | H. | M. | S. |
+--------+---------+----+----+----+
| | Contain | | | |
| 1 | 29 | 12 | 44 | 3 |
| 2 | 59 | 1 | 28 | 6 |
| 3 | 88 | 14 | 12 | 9 |
| 4 | 118 | 2 | 56 | 13 |
| 5 | 147 | 15 | 40 | 16 |
+--------+---------+----+----+----+
| 6 | 177 | 4 | 24 | 19 |
| 7 | 206 | 17 | 8 | 22 |
| 8 | 236 | 5 | 52 | 25 |
| 9 | 265 | 18 | 36 | 28 |
| 10 | 295 | 7 | 20 | 31 |
+--------+---------+----+----+----+
| 20 | 590 | 14 | 41 | 3 |
| 30 | 885 | 22 | 1 | 34 |
| 40 | 1181 | 5 | 22 | 6 |
| 50 | 1476 | 12 | 42 | 37 |
| 60 | 1771 | 20 | 3 | 9 |
+--------+---------+----+----+----+
| 70 | 2067 | 3 | 23 | 40 |
| 80 | 2362 | 10 | 44 | 12 |
| 90 | 2657 | 18 | 4 | 43 |
| 100 | 2953 | 1 | 25 | 15 |
| 200 | 5906 | 2 | 50 | 30 |
+--------+---------+----+----+----+
| 300 | 8859 | 4 | 15 | 45 |
| 400 | 11812 | 5 | 41 | 0 |
| 500 | 14765 | 7 | 6 | 15 |
| 600 | 17718 | 8 | 31 | 30 |
| 700 | 20671 | 9 | 56 | 45 |
+--------+---------+----+----+----+
| 800 | 23624 | 11 | 22 | 0 |
| 900 | 26577 | 12 | 47 | 15 |
| 1000 | 29530 | 14 | 12 | 30 |
| 2000 | 59061 | 4 | 25 | 0 |
| 3000 | 88591 | 18 | 37 | 30 |
+--------+---------+----+----+----+
| 4000 | 118122 | 8 | 50 | 0 |
| 5000 | 147652 | 23 | 2 | 30 |
| 6000 | 177183 | 13 | 15 | 0 |
| 7000 | 206714 | 3 | 27 | 30 |
| 8000 | 236244 | 17 | 40 | 0 |
+--------+---------+----+----+----+
| 9000 | 265775 | 7 | 52 | 30 |
| 10000 | 295305 | 22 | 5 | |
| 20000 | 590611 | 20 | 10 | |
| 30000 | 885917 | 18 | 15 | |
| 40000 | 1181223 | 16 | 20 | |
+--------+---------+----+----+----+
| 50000 | 1476529 | 14 | 25 | |
| 60000 | 1771835 | 12 | 30 | |
| 70000 | 2067141 | 10 | 35 | |
| 80000 | 2362447 | 8 | 40 | |
| 90000 | 2657753 | 6 | 45 | |
| 100000 | 2953059 | 4 | 50 | |
+--------+---------+----+----+----+
| By comparing this Table with |
| the Table on page 113, it is |
| easy to find how many Lunations |
| are contained in any given |
| number of Sidereal, Julian, and |
| Solar years, from 1 to 8000. |
+---------------------------------+