Astronomia Britannica exhibiting the doctrine of the sphere, and theory of the planets decimally by trigonometry, and by tables : fitted for the meridian of London ...
Newton, John, 1622-1678.
Page  159

CHAP. 28. Of the Calculation of the Suns Eclipse.

THis Eclipse is not properly, the Eclipse of the Sun, but of the earth in regard it is not the Sun, but the earth which looseth light the Sun being only apparently darke, the earth in truth, we will how ever use the name, that others have given it, and shew you the manner of the Calculation.

Find the meane conjnction, and from thence the true, which correct by the Reduction and Equation of time in all things as in the Moon.

Example of a Solar Eclipse, which happened March 28. 1652.

 D 
Mean Conjunction March280. 82333
Suns place 19. 36150
Eccentrick place of the Moon 20. 89832
Distance of the Moon from the Sun 1. 53682
Meane Anomaly of the Sun 280. 96132
His hourly motion . 04090
Meane Anomaly of the Moon 223. 17513
Her hourly motion . 60109
Hourly motion of the Moon from the Sun . 56019
which dividing the distance 1. 53682
Gives in the quotient subt. 2. 74336
So the time first corrected722. 07997
True place of the Sun 19. 24962
The Eccentrick place of the Moon 19. 29533
The distance of the Sun from the Moon . 04571
which divided by the hourly motion of the Moon from the Sun . 56137
Gives in time subtract . 08143
So the time secondly corrected2721. 99854
True place of the Sun 19. 24631
Eccentrick place of the Moon 19. 24766
Distance of the Sun from the Moone . 00135
which divided by the hourly motion of the Moon from the Sun▪ . 56140
Gives in time subtract . 00240
So the true time of Conjunction2721. 99614
Page  160The true plce of the Sun 19. 24621
Eccentrick place of the Moon 19. 24625
True motion of Latitude 8. 80745
The Reduction Subtract 0. 03536
The quotient . 06298
So the true Conjunction. 2722. 05912
Equation of time subtract . 09970
The apparent time of the ☌. 2721. 95942