249. The anticipation of the Equinoxes, and consequently of the seasons, is by no means owing to the Precession of the Equinoctial and Solsticial points in the Heavens, (which can only affect the apparent motions, places and declinations of the fixed Stars) but to the difference between the Civil and Solar year, which is 11 minutes 3 seconds; the Civil year containing 365 days 6 hours, and the Solar year 365 days 5 hours 48 minutes 57 seconds. The following table shews the length, and consequently the difference of any number of Sidereal, Civil, and Solar years from 1 to 10,000.
The reason for altering the Style.
250. The above 11 minutes 3 seconds, by which the Civil or Julian year exceeds the Solar, amounts to 11 days in 1433 years: and so much our seasons have fallen back with respect to the days of the months, since the time of the Nicene Council in A.D. 325, and therefore in order to bring back all the Fasts and Festivals to the days then settled, it was requisite to suppress 11 nominal days. And that the same seasons might be kept to the same times of the year for the future, to leave out the Bissextile day in February at the end of every century of years not divisible by 4; reckoning them only common years, as the 17th, 18th and 19th centuries, viz. the years 1700, 1800, 1900, &c. because a day intercalated every fourth year was too much, and retaining the Bissextile-day at the end of those Centuries of years which are divisible by 4, as the 16th, 20th and 24th Centuries; viz. the years 1600, 2000, 2400, &c. Otherwise, in length of time the seasons would have been quite reversed with regard to the months of the years; though it would have required near 23,783 years to have brought about such a total change. If the Earth had made exactly 3651⁄4 diurnal rotations on its axis, whilst it revolved from any Equinoctial or Solstitial point to the same again, the Civil and Solar years would always have kept pace together; and the style would never have needed any alteration.
The Precession of the Equinoctial Points.
251. Having already mentioned the cause of the Precession of the Equinoctial points in the heavens, § [246], which occasions a flow deviation of the earth’s axis from its parallelism, and thereby a change of the declination of the Stars from the Equator, together with a slow apparent motion of the Stars forward with respect to the Signs of the Ecliptic; we shall now describe the Phenomena by a Diagram.
Fig. V.
Let NZSVL be the Earth, SONA its Axis produced to the starry Heavens, and terminating in A, the present north Pole of the Heavens, which is vertical to N the north Pole of the Earth. Let EOQ be the Equator, T♋Z the Tropic of Cancer, and VT♑ the Tropic of Capricorn: VOZ the Ecliptic, and BO its Axis, both which are immoveable among the Stars. But, as [[57]]the Equinoctial points recede in the Ecliptic, the Earth’s Axis SON is in motion upon the Earth’s center O, in such a manner as to describe the double Cone NOn and SOs, round the Axis of the Ecliptic BO, in the time that the Equinoctial points move quite round the Ecliptic, which is 25,920 years; and in that length of time, the north Pole of the Earth’s Axis produced, describes the Circle ABCDA in the starry Heavens, round the Pole of the Ecliptic, which keeps immoveable in the center of that Circle. The Earth’s Axis being 231⁄2 degrees inclined to the Axis of the Ecliptic, the Circle ABCDA, described by the north Pole of the Earth’s Axis produced to A, is 47 degrees in diameter, or double the inclination of the Earth’s Axis. In consequence of this, the point A, which at present is the North Pole of the Heavens, and near to a Star of the second magnitude in the tail of the constellation called the Little Bear, must be deserted by the Earth’s Axis; which moving backwards a degree every 72 years, will be directed towards the Star or Point B in 6480 years hence: and in double of that time, or 12,960 years, it will be directed towards the Star or Point C; which will then be the North Pole of the Heavens, although it is at present 81⁄2 degrees south of the Zenith of London L. The present position of the Equator EOQ will then be changed into eOq, the Tropic of Cancer T♋Z into Vt♋, and the Tropic of Capricorn VT♑ into t♑Z; as is evident by the Figure. And the Sun, in the same part of the Heavens where he is now over the earthly Tropic of Capricorn, and makes the shortest days and longest nights in the Northern Hemisphere, will then be over the earthly Tropic of Cancer, and make the days longest, and nights shortest. So that it will require 12,960 years yet more, or 25,920 from the present time, to bring the North Pole N quite round, so as to be directed toward that point of the Heavens which is vertical to it at present. And then, and not till then, the same Stars which at present describe the Equator, Tropics, polar Circles, and Poles, by the Earth’s diurnal motion, will describe them over again.
A TABLE shewing the Time contained in any number of Sidereal, Julian, and Solar Years, from 1 to 10000.
| Sidereal Years. | Julian Years. | Solar Years. | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Years | Days | H. | M. | S. | Days | H. | Days | H. | M. | S. | ||
| 1 | Contain 365 | 6 | 9 | 141⁄2 | Contain 365 | 6 | Contain 365 | 5 | 48 | 57 | ||
| 2 | 730 | 12 | 18 | 29 | 730 | 12 | 370 | 11 | 37 | 54 | ||
| 3 | 1095 | 18 | 27 | 431⁄2 | 1095 | 18 | 1095 | 17 | 26 | 51 | ||
| 4 | 1461 | 0 | 36 | 58 | 1461 | 0 | 1460 | 23 | 15 | 48 | ||
| 5 | 1826 | 6 | 46 | 121⁄2 | 1826 | 6 | 1826 | 5 | 4 | 45 | ||
| 6 | 2191 | 12 | 55 | 27 | 2191 | 12 | 2191 | 10 | 53 | 42 | ||
| 7 | 2556 | 19 | 5 | 411⁄2 | 2556 | 18 | 2556 | 16 | 42 | 39 | ||
| 8 | 2922 | 1 | 13 | 56 | 2922 | 0 | 2921 | 22 | 31 | 36 | ||
| 9 | 3287 | 7 | 23 | 101⁄2 | 3287 | 6 | 3287 | 4 | 20 | 33 | ||
| 10 | 3652 | 13 | 32 | 25 | 3652 | 12 | 3652 | 10 | 9 | 30 | ||
| 20 | 7305 | 3 | 4 | 50 | 7305 | 0 | 7304 | 20 | 19 | 0 | ||
| 30 | 10957 | 16 | 37 | 15 | 10957 | 12 | 10957 | 6 | 28 | 30 | ||
| 40 | 14610 | 6 | 9 | 40 | 14610 | 0 | 14609 | 16 | 38 | 0 | ||
| 50 | 18262 | 19 | 42 | 5 | 18262 | 12 | 18262 | 2 | 47 | 30 | ||
| 60 | 21915 | 9 | 14 | 30 | 21915 | 0 | 21914 | 12 | 57 | 0 | ||
| 70 | 25567 | 22 | 46 | 55 | 25567 | 12 | 25566 | 23 | 6 | 30 | ||
| 80 | 29220 | 12 | 19 | 20 | 25220 | 0 | 29219 | 9 | 16 | 0 | ||
| 90 | 32873 | 1 | 51 | 45 | 32872 | 12 | 32871 | 19 | 25 | 30 | ||
| 100 | 36525 | 15 | 24 | 10 | 36525 | 36524 | 5 | 35 | ||||
| 200 | 73051 | 6 | 48 | 20 | 73050 | 73048 | 11 | 10 | ||||
| 300 | 109576 | 22 | 12 | 30 | 109575 | 109572 | 16 | 45 | ||||
| 400 | 146102 | 13 | 36 | 40 | 146100 | 146096 | 22 | 20 | ||||
| 500 | 182628 | 5 | 0 | 50 | 182625 | 182621 | 3 | 55 | ||||
| 600 | 219153 | 20 | 25 | 219150 | 219145 | 9 | 30 | |||||
| 700 | 255679 | 11 | 49 | 10 | 255675 | 255669 | 15 | 5 | ||||
| 800 | 292205 | 3 | 13 | 20 | 292200 | 292193 | 20 | 10 | ||||
| 900 | 328730 | 18 | 37 | 30 | 328725 | 328718 | 2 | 15 | ||||
| 1000 | 365256 | 10 | 1 | 40 | 365250 | 365242 | 7 | 50 | ||||
| 2000 | 730512 | 20 | 3 | 20 | 730500 | 730484 | 15 | 40 | ||||
| 3000 | 1095769 | 6 | 5 | 1095750 | 1095726 | 23 | 30 | |||||
| 4000 | 1461025 | 16 | 6 | 40 | 1461000 | 1460969 | 7 | 20 | ||||
| 5000 | 1826282 | 2 | 8 | 20 | 1826250 | 1826211 | 15 | 10 | ||||
| 6000 | 2191538 | 12 | 10 | 2191500 | 2191453 | 14 | 40 | |||||
| 7000 | 2556794 | 22 | 11 | 40 | 2556750 | 2556696 | 6 | 50 | ||||
| 8000 | 2922051 | 8 | 13 | 20 | 2922000 | 2921938 | 14 | 40 | ||||
| 9000 | 3287037 | 18 | 15 | 3287250 | 3287180 | 22 | 30 | |||||
| 10000 | 3652564 | 4 | 16 | 40 | 3652500 | 3652423 | 6 | 20 | ||||
| A TABLE shewing the Sun’s true Place, and Distance from his Apogee, for the second Year after Leap-year. | ||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Days | January | February | March | April | May | June | ||||||||||||||||||
| Sun’s Place. | Sun’s Anom. | Sun’s Place. | Sun’s Anom. | Sun’s Place. | Sun’s Anom. | Sun’s Place. | Sun’s Anom. | Sun’s Place. | Sun’s Anom. | Sun’s Place. | Sun’s Anom. | |||||||||||||
| D. | M. | S. | D. | D. | M. | S. | D. | D. | M. | S. | D. | D. | M. | S. | D. | D. | M. | S. | D. | D. | M. | S. | D. | |
| 1 | 11♑ | 7 | 6 | 2 | 12♒ | 39 | 7 | 3 | 10♓ | 53 | 8 | 0 | 11♈ | 40 | 9 | 1 | 10♉ | 57 | 10 | 0 | 10♊ | 46 | 11 | 1 |
| 2 | 12 | 8 | 6 | 3 | 13 | 40 | 7 | 4 | 11 | 53 | 8 | 1 | 12 | 39 | 9 | 2 | 11 | 55 | 10 | 1 | 11 | 44 | 11 | 2 |
| 3 | 13 | 9 | 6 | 4 | 14 | 41 | 7 | 5 | 12 | 53 | 8 | 2 | 13 | 38 | 9 | 3 | 12 | 53 | 10 | 2 | 12 | 41 | 11 | 3 |
| 4 | 14 | 10 | 6 | 5 | 15 | 42 | 7 | 6 | 13 | 53 | 8 | 3 | 14 | 37 | 9 | 4 | 13 | 51 | 10 | 3 | 13 | 38 | 11 | 4 |
| 5 | 15 | 11 | 6 | 6 | 16 | 43 | 7 | 7 | 14 | 53 | 8 | 4 | 15 | 36 | 9 | 5 | 14 | 49 | 10 | 4 | 14 | 35 | 11 | 5 |
| 6 | 16 | 12 | 6 | 7 | 17 | 43 | 7 | 8 | 5 | 53 | 8 | 5 | 16 | 35 | 9 | 6 | 15 | 47 | 10 | 5 | 15 | 33 | 11 | 6 |
| 7 | 17 | 14 | 6 | 8 | 18 | 44 | 7 | 9 | 16 | 53 | 8 | 6 | 17 | 34 | 9 | 7 | 16 | 45 | 10 | 6 | 16 | 30 | 11 | 7 |
| 8 | 18 | 15 | 6 | 9 | 19 | 45 | 7 | 10 | 17 | 53 | 8 | 7 | 18 | 33 | 9 | 8 | 17 | 43 | 10 | 7 | 17 | 28 | 11 | 8 |
| 9 | 19 | 16 | 6 | 10 | 20 | 46 | 7 | 11 | 18 | 53 | 8 | 8 | 19 | 32 | 9 | 9 | 18 | 41 | 10 | 8 | 18 | 25 | 11 | 9 |
| 10 | 20 | 17 | 6 | 11 | 21 | 46 | 7 | 12 | 19 | 53 | 8 | 9 | 20 | 30 | 9 | 10 | 19 | 39 | 10 | 9 | 19 | 22 | 11 | 10 |
| 11 | 21 | 18 | 6 | 12 | 22 | 47 | 7 | 13 | 20 | 52 | 8 | 10 | 21 | 29 | 9 | 11 | 20 | 37 | 10 | 10 | 20 | 20 | 11 | 11 |
| 12 | 22 | 19 | 6 | 13 | 23 | 47 | 7 | 14 | 21 | 52 | 8 | 11 | 22 | 28 | 9 | 12 | 21 | 34 | 10 | 11 | 21 | 17 | 11 | 12 |
| 13 | 23 | 21 | 6 | 14 | 24 | 48 | 7 | 15 | 22 | 52 | 8 | 12 | 23 | 26 | 9 | 13 | 22 | 32 | 10 | 12 | 22 | 14 | 11 | 13 |
| 14 | 24 | 22 | 6 | 15 | 25 | 48 | 7 | 16 | 23 | 52 | 8 | 13 | 24 | 25 | 9 | 14 | 23 | 30 | 10 | 13 | 23 | 11 | 11 | 14 |
| 15 | 25 | 23 | 6 | 16 | 26 | 49 | 7 | 17 | 24 | 51 | 8 | 14 | 25 | 24 | 9 | 15 | 24 | 28 | 10 | 14 | 24 | 8 | 11 | 15 |
| 16 | 26 | 24 | 6 | 17 | 27 | 49 | 7 | 18 | 25 | 51 | 8 | 15 | 26 | 22 | 9 | 16 | 25 | 26 | 10 | 15 | 25 | 6 | 11 | 16 |
| 17 | 27 | 25 | 6 | 18 | 28 | 50 | 7 | 19 | 26 | 51 | 8 | 16 | 27 | 21 | 9 | 17 | 26 | 23 | 10 | 16 | 26 | 3 | 11 | 17 |
| 18 | 28 | 26 | 6 | 19 | 29 | 50 | 7 | 20 | 27 | 50 | 8 | 17 | 28 | 19 | 9 | 18 | 27 | 21 | 10 | 17 | 27 | 0 | 11 | 18 |
| 19 | 29 | 27 | 6 | 20 | ♓ | 51 | 7 | 21 | 28 | 50 | 8 | 18 | 29 | 18 | 9 | 19 | 28 | 19 | 10 | 18 | 27 | 58 | 11 | 18 |
| 20 | ♒ | 28 | 6 | 21 | 1 | 51 | 7 | 22 | 29 | 49 | 8 | 19 | ♉ | 16 | 9 | 20 | 29 | 16 | 10 | 19 | 28 | 55 | 11 | 19 |
| 21 | 1 | 29 | 6 | 22 | 2 | 51 | 7 | 23 | ♈ | 49 | 8 | 20 | 1 | 15 | 9 | 21 | ♊ | 15 | 10 | 20 | 29 | 52 | 11 | 20 |
| 22 | 2 | 30 | 6 | 23 | 3 | 52 | 7 | 24 | 1 | 48 | 8 | 21 | 2 | 13 | 9 | 22 | 1 | 11 | 10 | 21 | ♋ | 49 | 11 | 21 |
| 23 | 3 | 31 | 6 | 24 | 4 | 52 | 7 | 25 | 2 | 47 | 8 | 22 | 3 | 11 | 9 | 23 | 2 | 9 | 10 | 22 | 1 | 46 | 11 | 22 |
| 24 | 4 | 32 | 6 | 25 | 5 | 52 | 7 | 26 | 3 | 47 | 8 | 23 | 4 | 10 | 9 | 24 | 3 | 6 | 10 | 23 | 2 | 44 | 11 | 23 |
| 25 | 5 | 33 | 6 | 26 | 6 | 52 | 7 | 27 | 4 | 46 | 8 | 24 | 5 | 8 | 9 | 25 | 4 | 4 | 10 | 24 | 3 | 41 | 11 | 24 |
| 26 | 6 | 34 | 6 | 27 | 7 | 53 | 7 | 28 | 5 | 45 | 8 | 25 | 6 | 6 | 9 | 26 | 5 | 2 | 10 | 25 | 4 | 38 | 11 | 25 |
| 27 | 7 | 35 | 6 | 28 | 8 | 53 | 7 | 29 | 6 | 45 | 8 | 26 | 7 | 4 | 9 | 27 | 5 | 59 | 10 | 26 | 5 | 35 | 11 | 26 |
| 28 | 8 | 36 | 6 | 29 | 9 | 53 | 8 | 0 | 7 | 44 | 8 | 27 | 8 | 3 | 9 | 28 | 6 | 56 | 10 | 27 | 6 | 32 | 11 | 27 |
| 29 | 9 | 37 | 7 | 0 | 8 | 43 | 8 | 28 | 9 | 1 | 9 | 29 | 7 | 54 | 10 | 28 | 7 | 30 | 11 | 28 | ||||
| 30 | 10 | 38 | 7 | 1 | 9 | 42 | 8 | 29 | 9 | 59 | 9 | 29 | 8 | 51 | 10 | 29 | 8 | 27 | 11 | 29 | ||||
| 31 | 11 | 39 | 7 | 2 | 10 | 41 | 9 | 0 | 9 | 48 | 11 | 0 | ||||||||||||