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John Collins Geometricall Dyalling 1659 Trigonometry 20 Plates Very Rare 1st Ed For Sale

John Collins Geometricall Dyalling 1659 Trigonometry 20 Plates Very Rare 1st Ed

OFFERED WITH is AN EXCELLENT, COMPLETE AND VERY RARE EXAMPLE OF THE 1659 FIRST EDITION OF THE GREAT ENGLISH MATHEMATICIAN JOHN COLLINS’ “GEOMETRICALL DYALLING,” HIS UNUSUALLY WELL-ILLUSTRATED DESCRIPTION OF HIS NEW METHOD OF TRIGONOMETRY WITHOUT A QUADRANT, printed at London in quarto by Johnson for Cossinet and Sutton, complete in all respects, ADORNED WITH A VERY FINE ENGRAVED TITLE 20 ENGRAVED PLATES BY SUTTON, in excellent condition, finely bound in full modern green morocco, and ONCE OWNED BY SIR JOHN BOWYER, THE FIRST BARONET BOWYER, WITH HIS OWNERSHIP INSCRIPTION DATED 1658 ON THE RECTO OF THE ENGRAVED TITLE. THIS IS A VERY RARE BOOK. Only three copies have been sold at sale during the past 30 years. ESTC records only 16 institutional copies worldwide.

 

ONE OF THE RAREST AND BEST ILLUSTRATED 17TH CENTURY WORKS OF MATHEMATICS IN ENGLISH. COLLINS HERE DESCRIBES IN DETAIL HIS NEW METHOD OF TRIGONOMETRY WITHOUT THE USE OF A QUADRANT. HENRY SUTTON (c.1624-1665), WAS CONSIDERED ONE OF "THE OUTSTANDING MAKERS OF MATHEMATICAL INSTRUMENTS" OF THE 17TH CENTURY (DAUMAS P.64). HE ALSO COLLABORATED WITH COLLINS IN 1658 FOR “THE SECTOR ON A QUADRANT,” AND THE QUALITY OF HIS ENGRAVING EARNED PRAISE A CENTURY LATER WHEN EDMUND STONE STATED THAT SUTTON’S WORK PRODUCED “THE FINEST DIVIDED INSTRUMENTS IN THE WORLD.” 

 

The full title reads as follows:

 

“Geometricall Dyalling: / or, / Dyalling Performed by a Line of Chords onely, / Or by the Plain Scale. / Wherein is contained two several Methods of Inscribing the Hour-Lines in all Plains, with the Substile, Stile and Meridian, in their proper Coasts and Quantities; / Being a full Explication and Demonstration of divers difficulties in the Works of Learned Mr. Samuel Foster deceased, late Professor of Astronomy in Gresham Colledge, late Professor of Astronomy in Gresham Colledge,; Also a Collection of divers things from the Works of Clavius and others. / Whereto is added four new Methods of Calculation, for finding the Requisites in all Leaning Plains, with full directions suited to each Method for placing them in their proper Coasts, without the help of any Delineations. / Also how by Projecting the Sphere, to measure off all the Arks found by Calculation, and to determine what hours are proper to all kinde of Plains, omitting superfluity. / Lastly, the making of Dyals from three Shadows of a Gnomon placed in a Wall at random, with a Method of Calculation suited thereto, and divers ways from three Shadows, to finde a Meridian-line. / Written by John Collins of London Accomptant, Philomath. / London, Printed by Thomas Johnson for Francis Cossinet, and are to be sold at his Shop at the Anchor and Mariner in Tower-street, at the end of Mincing-lane, with other Mathematical Books; Also to be sold by Henry Sutton Mathematical Instrument-Maker, living in Threed-needle Street behinde the Exchange. 1659.”

 

WIKIPEDIA STATES THE FOLLOWING CONCERNING THE GREAT ENGLISH MATHEMATICIAN JOHN COLLINS:

 

John Collins (25 March 1625 – 10 November 1683) was an English mathematician. He is most known for his extensive correspondence with leading scientists and mathematicians such as Giovanni Alfonso Borelli, Gottfried Leibniz, Isaac Newton, and John Wallis. His correspondence provides details of many of the discoveries and developments made in his time, and shows his activity as an 'intelligencer'. He was the son of a nonconformist minister, and was born at Wood Eaton in Oxfordshire, 5 March 1625. Apprenticed at the age of sixteen to Thomas Allam, a bookseller, living outside the Turl Gate of Oxford, he was driven to quit the trade by the troubles of the time, and accepted a clerkship in the employment of John Marr, clerk of the kitchen to thePrince of Wales. From him he derived some instruction in mathematics, but the outbreak of the First English Civil War drove him to sea for seven years, 1642-9, most of which time he spent on board an English merchantman, engaged by the Venetians as a ship of war in their defence of Candia against the Turks. He devoted his leisure to the study of mathematics and merchants' accounts, and on leaving the service set up in London as a teacher. In 1652 he published An Introduction to Merchants' Accounts, originally drawn up for the use of his scholars. Reprinted in 1665, the major part of the impression perished in the great fire of London, but was replaced in 1674 by a new and amplified folio edition. He next wrote The Sector on a Quadrant, or a Treatise containing the Description and Use of three several Quadrants. Also an appendix touching Reflected Dyalling, from a Glass however posited (London, 1658); and The Description and Uses of a general Quadrant, with the Horizontal Projection upon it Inverted(1658). In 1659 appeared his Geometricall Dyalling, or Dyalling performed by a Line of Chords only, and The Mariner's Plain Scale new Plained, a treatise on navigation for the East India Company's navy. It was well received, and became a class-book with the students of navigation at Christ Church Hospital.

 

After the Restoration, Collins was appointed successively accountant to the excise office, accountant in chancery, and secretary to the council of plantations, exchanging the last post in 1672 for that of manager of the farthing office. With this employment went a house in Fenchurch Street, where he had thoughts of setting up a stationer's shop, and hoped 'to fall into the printing of books,' including some he himself designed to write, 'particularly one of the modern advancement of mathematical sciences, and an account of the best authors of that kind'. He did not, however, succeed in carrying the plan into effect. With the failure of his arguments against the issue of tin farthings his office ceased, and he was glad subsequently to accept a small post as accountant to the Royal Fishery Company. He had refused in March 1669 a situation offered to him in Ireland by the surveyor-general, Sir James Shaen, and about the same time married one of two daughters of William Austen, head cook to Charles II. As his family increased his means of subsistence became more and more precarious. He undertook accountancy work, spending less time on learned correspondence. Several of his writings testify to his acquaintance with the course of trade and interest in public matters. He published in 1680 A Plea for the bringing in of Irish Cattel, and keeping out Fish caught by Foreigners, together with an humble Address to the Honourable Members of Parliament of the counties of Cornwall and Devon, about the Advancement of Tin, Fishery, and divers Manufactures; and in 1682 a little treatise entitled Salt and Fishery, in which he dwelt upon the several modes of preparing salt in England and abroad, the catching of fish, the salting and cooking of fish and meat, besides offering proposals for the relief of the salt-workers. Collins died, 10 November 1683, at his lodging on Garlick Hill, London, of asthma and consumption, and was buried in the parish church of St. James.

 

An enlarged edition of his Doctrine of Decimal Arithmetick, the preparation of which had engaged his attention during about a year before his death, appeared in 1685. It had originally been printed in 1664 on a quarter of a sheet for portability in a letter-case. His Arithmetic in whole Numbers and Fractions, both Vulgar and Decimal, with Tables for the Forbearance and Rebate of Money, &c., was published by Thomas Plant in 1688. Collins was elected a fellow of the Royal Society 24 October 1667, and on 11 November of that year communicated an exposition of a theorem by the Jesuit Jacques de Billy. He contributed further An Account concerning the Resolution of Equations in Numbers, a survey of recent algebra improvements made in England, and A Solution of a Chorographical Problem; while a letter written to John Wallis, 3 October 1682, was imparted to the society 20 May 1684. This was designed as preliminary to a formal treatise on algebra, never written. He helped forward many important publications. To him was due the printing of Isaac Barrow's Optical and Geometrical Lectures, as well as of his editions of Apollonius andArchimedes; of John Kersey's Algebra, Thomas Branker's translation of Rhonius's Algebra, and Wallis's History of Algebra. He took an active part in seeing Jeremiah Horrocks's Astronomical Remains through the press.

 

About twenty-five years after Collins's death his books and papers came into the possession of William Jones, F.R.S. They included a voluminous correspondence with Newton, Leibniz, Gregory, Barrow, John Flamsteed, Wallis, Slusius, and others. From it was selected and published in 1712, by order of the Royal Society, the Commercium Epistolicum, of material relevant to Newton's priority over Leibniz in the discovery of the infinitesimal calculus; specimens of results from the use of the fluxional method were transmitted 20 July 1669 through Barrow to Collins, and by him made widely known.

 

OF THE VOLUME’S FIRST OWNER, SIR JOHN BOWYER, WIKIPEDIA STATES THE FOLLOWING:

 

Sir John Bowyer, 1st Baronet (21 September 1623 – 18 July 1666) was a 17th-century English soldier and politician. Bowyer was the son of Sir William Bowyer, a wealthy Staffordshire landowner of Knypersley Hall, near offerdulph. Bowyer was a Colonel in the Parliamentary army during the English Civil War and fought at the Battle of Hopton Heath and was involved in the destruction of Eccleshall Castle. He was elected Member of Parliament for Staffordshire in 1646 to the Long Parliament. He was excluded from the House of Commons under Pride's Purge on 6 December 1646. He was elected as MP for Newcastle-under-Lyme in 1656 in the Second Protectorate Parliament, but never sat.[1] In 1660 he was re-elected MP for Newcastle-under-Lyme for theConvention Parliament and sat until 1661. On the Restoration he was created a baronet by Charles II on 11 September 1660. He was High Sheriff of Staffordshire in 1662. He married firstly in 1648 Mary Milward, daughter of Robert Milward of Bradlow Ash Derbyshire. He married secondly in 1665 Elizabeth Egerton, daughter of Sir Ralph Egerton of Betley Staffordshire.

 

The volume is complete in all respects and is paginated as follows: [6], 56, 59-82, plus the 20 leaves of plates. Each volume measures about 19 cm by 14.5 cm by 1.2 cm; each leaf measures about 185 mm by 140 mm.

 

THE VOLUME IS IN ABOUT EXCELLENT CONDITION INTERNALLY, with clean pages, clear print and sufficient margins throughout. The 20 plates are excellent impressions in all cases. A few leaves show very minor toning or minor spotting. The upper margin is trimmed a little more closely than one ideally would like, but no headline is affected. The final page is more notably toned than the remainder of the volume.

 

THE ATTRACTIVE MODERN FULL GREEN MOROCCO BINDING IS IN EXCELLENT CONDITION. The title, author and year of publication are in gilt upon the spine. The hinges and the book-block are very strong. The boards show only very minor scuffing, and generally the volume shows very little wear.

 

In all, this is AN EXCELLENT, COMPLETE AND VERY RARE EXAMPLE OF THE 1659 FIRST EDITION OF THE GREAT ENGLISH MATHEMATICIAN JOHN COLLINS’ “GEOMETRICALL DYALLING,” HIS UNUSUALLY WELL-ILLUSTRATED DESCRIPTION OF HIS NEW METHOD OF TRIGONOMETRY WITHOUT A QUADRANT, printed at London in quarto by Johnson for Cossinet and Sutton, complete in all respects, ADORNED WITH A VERY FINE ENGRAVED TITLE 20 ENGRAVED PLATES BY SUTTON, in excellent condition, finely bound in full modern green morocco, ONCE OWNED BY SIR JOHN BOWYER, THE FIRST BARONET BOWYER, WITH HIS OWNERSHIP INSCRIPTION DATED 1658 ON THE RECTO OF THE ENGRAVED TITLE, and OFFERED AT A REASONABLE RESERVE.

 

 

Please take the time necessary to review the photos below in order to gain a better understanding of the content and condition of the volume. Please also take a moment to view my other sales of rare and desirable English and Continental printed books dating from the 15th through the 19th century.

 

Shipment is free for customers in the United States and Canada. For U.S. clients we ship either FedEx Ground for large shipments or USPS Priority for single books or smaller amounts. We ship using Canada Post for Canadian customers.

 

 Canadian buyers please note that we list on .com which automatically charges for international shipment. Your invoice will be amended to reflect free shipping.

 

 Please note as of January 2013 USPS has increased International shipping charges on average by 25%.

 

We charge for shipment of international orders.  We try to ship using USPS flat rate priority-mail boxes and we charge for shipment at cost or slightly below. Small 12mo books are shipped for USD 24.00. The cost of shipment for any book in Octavo, Quarto or small folio format is USD 60.00. The cost of shipment for large folios or quartos of equivalent size is USD 78.00. Multiple folio volumes and sets are, of course, generally more expensive and the cost of their shipment will always be quoted in the listing. With all of our sales if an individual client wins multiple books we charge only charge for the shipment of one book and cover the cost of shipment of the rest. Please note that mobile devices do not yet display correctly the shipment costs for international customers. Please enquire or consult the non-mobile site in order to obtain complete information concerning the cost of shipment.

   

All purchases save those by Canadian clients are shipped from New York State once per week, weather permitting. If you require faster service or special handling please let us know and we will do our best to accomodate.

                                   


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John Collins Geometricall Dyalling 1659 Trigonometry 20 Plates Very Rare 1st Ed

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John Collins Geometricall Dyalling 1659 Trigonometry 20 Plates Very Rare 1st Ed:
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