Title: Horæ mathematicæ vacuæ: or, a treatise of the golden and ecliptick numbers. Containing, I. An easy and certain Method for finding the Change of the Moon for any Time past or to come, from the Creation to the End of the World, by the Rectification of the Golden Number. II. An easy and certain Method for finding the Eclipses both of the Sun and Moon for any Time past or to come, from the Creation to the End of the World, by a Number of Years called, The Ecliptick Number. III. Of the Fractions of the Square and Cube Roots. To which is added, examples for the practice of the golden and ecliptick numbers, to find thereby the Change or Age of the Moon, taken out of The Scripture Chronology demonstrated by Astronomical Observations. By Arthur Bedford, M. A. Chaplain to His Royal Highness Frederick Prince of Wales, and to the Haberdashers Hospital at Hoxton, near London.