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"The Doctrine of the Sphere"; "Arithmetick in Species, or, Algebra. Lib. IV."; "The Six First Books of Euclid’s Elements"; "The Eleventh and Twelfth Books of Euclid’s Elements"; and "The Doctrine of Surds" each have separate title pages, all dated 1680. The second volume, not present here, contained "Astronomical Tables" and "A New Geography" and included maps of the various parts of the world including North America. Sir Jonas Moore (1617-1679) was a mathematician, surveyor, Ordnance Officer and patron of astronomy. He participated in two of the most ambitious English civil engineering projects of the 17th century: the Great Level of the Fens and the building of the Mole at Tangier. He was a patron and principal driving force behind the establishment of the Royal Observatory at Greenwich. In 1677, Moore began to write the present work, with the purpose of defining a mathematical course suitable for The Royal Mathematics School at Christ's Hospital in London. It was still unfinished when Moore died in 1679. He was succeeded as Surveyor General of the Ordnance by his only son, also called Jonas, who died less than 3 years after his father as a result of falling off a horse. It was the husbands of Moore's two daughters who undertook the publication of the "New Systeme", which with the final parts being written by John Flamsteed and Edmund Halley, was completed in 1681.