Edward Wright
Edward Wright (baptised 8 October 1561; died November 1615) was an English mathematician and cartographer noted for his book Certaine Errors in Navigation (1599; 2nd ed, 1610), which for the first time explained the mathematical basis of the Mercator projection by building on the works of Pedro Nunes, and set out a reference table giving the linear scale multiplication factor as a function of latitude, calculated for each minute of arc up to a latitude of 75°. This was in fact a table of values of the integral of the secant function, and was the essential step needed to make practical both the making and the navigational use of Mercator charts. Wright was born in Garveston in Norfolk and educated at Gonville and Caius College, Cambridge, where he became a fellow from 1587 to 1596.
Edward Wright

Edward Wright · Fig. 5.1 of Mark Monmonier [Stephen] Monmonier]] (2004) Rhumb Lines and Map Wars: A Social History of the Mercator Projection, Chicago, Ill.: University of Chicago Press, p. 65 ISBN: 0-226-53431-6 · Public domain
- Name
- Edward Wright
- Birthplace
- Garveston, Norfolk, East Anglia, England
- Died
- November 1615 (aged at least 54)
- Place of death
- London, England
- Education
- Gonville and Caius College, Cambridge
- Born
- 1561
- Nationality
- Kingdom of England
- Occupation
- cartographer · mathematician
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In this article
Biography
Biography
In 1589 the college granted him leave after Elizabeth I requested that he carry out navigational studies with a raiding expedition organised by the Earl of Cumberland to the Azores to capture Spanish galleons. The expedition's route was the subject of the first map to be prepared according to Wright's projection, which was published in Certaine Errors in 1599. The same year, Wright created and published the first world map produced in England and the first to use the Mercator projection since Gerardus Mercator's original 1569 map. Not long after 1600 Wright was appointed as surveyor to the New River project, which successfully directed the course of a new man-made channel to bring clean water from Ware, Hertfordshire, to Islington, London. A skilled designer of mathematical instruments, Wright made models of an astrolabe and a pantograph, and a type of armillary sphere for Prince Henry. In the 1610 edition of Certaine Errors he described inventions such as the "sea-ring" that enabled mariners to determine the magnetic variation of the compass, the sun's altitude and the time of day in any place if the latitude was known; and a device for finding latitude when one was not on the meridian using the height of the pole star. Apart from a number of other books and pamphlets, Wright translated John Napier's pioneering 1614 work which introduced the idea of logarithms from Latin into English.
Key facts
Key facts
• Name — Edward Wright • Birthplace — Garveston, Norfolk, East Anglia, England • Died — November 1615 (aged at least 54) • Place of death — London, England • Fields — Mathematics; navigation; cartography • Education — Gonville and Caius College, Cambridge • Known for — Writing Certaine Errors in Navigation (1599) which first explained the mathematical basis for the Mercator projection, producing the Wright–Molyneux map (c. 1599), and translating John Napier's work on logarithms which was published as A Description of the Admirable Table of Logarithmes (1616)
Family and education
Family and education
The younger son of Henry and Margaret Wright, Edward Wright was born in the village of Garveston in Norfolk, East Anglia, and was baptised there on 8 October 1561. It is possible that he followed in the footsteps of his elder brother Thomas (died 1579) and went to school in Hardingham. The family was of modest means, and he matriculated at Gonville and Caius College, University of Cambridge, on 8 December 1576 as a sizar. Sizars were students of limited means who were charged lower fees and obtained free food and/or lodging and other assistance during their period of study, often in exchange for performing work at their colleges. Wright was conferred a Bachelor of Arts (B.A.) in 1580–1581. He remained a scholar at Caius, receiving his Master of Arts (M.A.) there in 1584, and holding a fellowship between 1587 and 1596. At Cambridge, he was a close friend of Robert Devereux, later the Second Earl of Essex, and met him to discuss his studies even in the weeks before Devereux's rebellion against Elizabeth I in 1600–1601. In addition, he came to know the mathematician Henry Briggs; and the soldier and astrologer Christopher Heydon, who was also Devereux's friend. Heydon later made astronomical observations with instruments Wright made for him.
Foreign expedition
Foreign expedition
• Illustration — Hilliard's portrait of George, Earl of Cumberland (c. 1590, detail). Wright dedicated his work Certaine Errors in Navigation (1599) to him. In 1589, two years after being appointed to his fellowship, Wright was requested by Elizabeth I to carry out navigational studies with a raiding expedition organised by the Earl of Cumberland to the Azores to capture Spanish galleons. The Queen effectively ordered Caius to grant him leave of absence for this purpose, although the college expressed this more diplomatically by granting him a sabbatical "by Royal mandate". Wright participated in the confiscation of "lawful" prizes from the French, Portuguese and Spanish – Derek Ingram, a life fellow of Caius, has called him "the only Fellow of Caius ever to be granted sabbatical leave in order to engage in piracy". Wright sailed with Cumberland in the Victory from Plymouth on 8 June 1589; they returned to Falmouth on 27 December of the same year. An account of the expedition is appended to Wright's work Certaine Errors of Navigation (1599), and while it refers to Wright in the third person it is believed to have been written by him. In Wright's account of the Azores expedition, he listed as one of the expedition's members a "Captaine Edwarde Carelesse, alias Wright, who in S. Frauncis Drakes West-Indian voiage was Captaine of the Hope". In another work, The Haven-finding Art (1599) (see below), Wright stated that "the time of my first employment at sea" was "now more than tenne yeares since". The Oxford Dictionary of National Biography asserts that during the expedition Wright called himself "Captain Edward Carelesse", and that he was also the captain of the Hope in Sir Francis Drake's voyage of 1585–1586 to the West Indies, which evacuated Sir Walter Raleigh's Colony of Virginia. One of the colonists was the mathematician Thomas Harriot, and if the Dictionary is correct it is probable that on the return journey to England Wright and Harriot became acquainted and discussed navigational mathematics. However, in a 1939 article, E.J.S. Parsons and W.F. Morris note that in Capt. Walter Bigges and Lt. Crofts' book A Summarie and True Discourse of Sir Frances Drakes West Indian Voyage (1589), Edward Careless was referred to as the commander of the Hope, but Wright was not mentioned. Further, while Wright spoke several times of his participation in the Azores expedition, he never alluded to any other voyage. Although the reference to his "first employment" in The Haven-finding Art suggests an earlier venture, there is no evidence that he went to the West Indies. Gonville and Caius College holds no records showing that Wright was granted leave before 1589. There is nothing to suggest that Wright ever went to sea again after his expedition with the Earl of Cumberland. Wright resumed his Cambridge fellowship upon returning from the Azores in 1589, but it appears that he soon moved to London for he was there with Christopher Heydon making observations of the sun between 1594 and 1597, and on 8 August 1595 Wright married Ursula Warren (died 1625), a daughter of Augustine Bernher, at the parish church of St. Michael, Cornhill, in the City of London. They had a son, Samuel (1596–1616), who was himself admitted as a sizar at Caius on 7 July 1612. The St. Michael parish register also contains references to other children of Wright, all of whom died before 1617. Wright resigned his fellowship in 1596.
Certaine Errors in Navigation
Surveying
Surveying
• Illustration — The New River at Enfield Town Park in London – photographed on 3 February 2008 Wright also developed a reputation as a surveyor on land. He prepared "a plat of part of the waye whereby a newe River may be brought from Uxbridge to St. James, Whitehall, Westminster [,] the Strand, St Giles, Holbourne and London", However, according to a 1615 paper in Latin in the annals of Gonville and Caius College at Cambridge, he was prevented from bringing this plan to fruition "by the tricks of others". Nonetheless, early in the first decade of the 17th century, he was appointed by Sir Hugh Myddelton as surveyor to the New River project, which successfully directed the course of a new man-made channel to bring clean water from Chadwell Spring at Ware, Hertfordshire, to Islington, London. Although the distance in a straight line from Ware to London is only slightly more than 20 mi, the project required a high degree of surveying skill on Wright's part as it was necessary for the river to take a route of over 40 miles following the 100 ft contour line on the west side of the Lea Valley. As the technology of the time did not extend to large pumps or pipes, the water flow had to depend on gravity through canals or aqueducts over an average fall of 5.5 inches a mile (87.8 millimetres per kilometre). Work on the New River started in 1608 – the date of a monument at Chadwell Spring – but halted near Wormley, Hertfordshire, in 1610. The stoppage has been attributed to factors such as Myddelton facing difficulties in raising funds, and landowners along the route opposing the acquisition of their lands on the ground that the river would turn their meadows into "bogs and quagmires". Although the landowners petitioned Parliament, they did not succeed in having the legislation authorising the project repealed prior to Parliament being dissolved in 1611; the work resumed later that year. The New River was officially opened on 29 September 1613 by the Lord Mayor of London, Sir John Swinnerton, at the Round Pond, New River Head, in Islington. It still supplies the capital with water today.
Other mathematical work
Other mathematical work
For some time Wright had urged that a navigation lectureship be instituted for merchant seamen, and he persuaded Admiral Sir William Monson, who had been on Cumberland's Azores expedition of 1589, to encourage a stipend to be paid for this. At the beginning of the 17th century, Wright succeeded Thomas Hood as a mathematics lecturer under the patronage of the wealthy merchants Sir Thomas Smyth and Sir John Wolstenholme; the lectures were held in Smyth's house in Philpot Lane. By 1612 or 1614 the East India Company had taken on sponsorship of these lectures for an annual fee of £50 (about £6,500 as of 2007). Wright was also mathematics tutor to the son of James I, the heir apparent Henry Frederick, Prince of Wales, from 1608 or 1609 until the latter's death at the age of 18 on 6 November 1612. Wright was described as "a very poor man" in the Prince's will and left the sum of £30 8s (about £4,300 in 2007). To the Prince, who was greatly interested in the science of navigation, Wright dedicated the second edition of Certaine Errors (1610) and the world map published therein. He also drew various maps for him, including a "sea chart of the N.-W. Passage; a paradoxall sea-chart of the World from 30° Latitude northwards; [and] a plat of the drowned groundes about Elye, Lincolnshire, Cambridgeshire, &c". Wright was a skilled designer of mathematical instruments. According to the 1615 Caius annals, "[h]e was excellent both in contrivance and execution, nor was he inferior to the most ingenious mechanic in the making of instruments, either of brass or any other matter". For Prince Henry, he made models of an astrolabe and a pantograph, and created or arranged to be created out of wood a form of armillary sphere which replicated the motions of the celestial sphere, the circular motions of the sun and moon, and the places and possibilities of them eclipsing each other. The sphere was designed for a motion of 17,100 years, if the machine should last that long. In 1613 Wright published The Description and Use of the Sphære, which described the use of this device. The sphere was lost during the English Civil War, but found in 1646 in the Tower of London by the mathematician and surveyor Sir Jonas Moore, who was later appointed Surveyor General of the Ordnance Office and became a patron and the principal driving force behind the establishment of the Royal Observatory at Greenwich. Moore asked the King to let him have it, restored the instrument at his own expense and deposited it at his own house "in the Tower". The Caius annals also report that Wright "had formed many other useful designs, but was hindered by death from bringing them to perfection". The 1610 edition of Certaine Errors contained descriptions of the "sea-ring", which consisted of a universal ring dial mounted over a magnetic compass that enabled mariners to determine readily the magnetic variation of the compass, the sun's altitude and the time of day in any place if the latitude was known; the "sea-quadrant", for the taking of altitudes by a forward or backward observation; and a device for finding latitude when one was not on the meridian using the height of the pole star. • Illustration — The Scotsman John Napier (1550–1617), the inventor of logarithms, depicted in an engraving by Samuel Freeman (1773–1857) based on a 1616 painting at the University of Edinburgh NapierTranslationIn 1614 Wright published a small book called A Short Treatise of Dialling: Shewing, the Making of All Sorts of Sun-dials, but he was mainly preoccupied with John Napier's Mirifici Logarithmorum Canonis Descriptio (Description of the Wonderful Rule of Logarithms), which introduced the idea of logarithms. Wright at once saw the value of logarithms as an aid to navigation, and lost no time in preparing a translation which he submitted to Napier himself. The preface to Wright's edition consists of a translation of the preface to the Descriptio, together with the addition of the following sentences written by Napier himself: While working on the translation, Wright died in late November 1615 and was buried on 2 December 1615 at St. Dionis Backchurch (now demolished) in the City of London. The Caius annals noted that although he "was rich in fame, and in the promises of the great, yet he died poor, to the scandal of an ungrateful age". Wright's translation of Napier, which incorporated tables that Wright had supplemented and further information by Henry Briggs, was completed by Wright's son Samuel and arranged to be printed by Briggs. It appeared posthumously as A Description of the Admirable Table of Logarithmes in 1616, and in it Wright was lauded in verse as "[t]hat famous, learned, Errors true Corrector, / England's great Pilot, Mariners Director". According to Parsons and Morris, the use of Wright's publications by later mathematicians is the "greatest tribute to his life's work". Wright's work was relied on by Dutch astronomer and mathematician Willebrord Snellius, noted for the law of refraction now known as Snell's law, for his navigation treatise Tiphys Batavus (Batavian Tiphys, 1624); and by Adriaan Metius, the geometer and astronomer from Holland, for Primum Mobile (1631). Following Wright's proposals, Richard Norwood measured a degree on a great circle of the earth at 367196 ft, publishing the information in 1637. Wright was praised by Charles Saltonstall in The Navigator (1642) and by John Collins in Navigation by the Mariners Plain Scale New Plain'd (1659), Collins stating that Mercator's chart ought "more properly to be called Wright's chart". The Caius annals contained the following epitaph: "Of him it may truly be said, that he studied more to serve the public than himself".
Authored
Edited and translated
Edited and translated
• Illustration — Title page of Admirable Table of Logarithmes (2nd ed., 1618) •. Reprinted as: •. •. •. Later editions and reprints: •. •.
Articles
Articles
* •. •.
Life and career
Dated record
Life and career
The full dated record · 2 entries
1561
Edward Wright born at Garvestone.
1615
Edward Wright died on 1 November 1615.
Books
•. •.
Text attribution
Licensing
Text attribution
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The biographical narrative on this page is based on the Wikipedia article Edward Wright (mathematician), revision 1372846427 (EN edition), by its contributors. VALÉORINE has edited that text and built its own documentary record around it. The reused material is available under CC BY-SA 4.0, and this page's reuse of it is offered under the same licence. Everything else on this page — the chronology, the holdings, the evidence, the plates and the connections — is VALÉORINE's own record. Sources and licences.
Notes from the source article
Cited by Wikipedia
Notes from the source article
These works are cited by the source article, in its own numbering. They are recorded as its citations, not as sources VALÉORINE has verified.
- 1.E.J.S. Parsons. Edward Wright and His Work. Imago Mundi. 3. 61–71. 1939. 10.1080/03085693908591862.
- 2.Parsons & Morris, p. 61.
- 3.Paul J. Lewi. Speaking of Graphics: An Essay on Graphicacy in Science, Technology and Business. DataScope. 24. 11 February 2006.
- 4.A.J. Apt. Oxford Dictionary of National Biography. 2004. 10.1093/ref:odnb/30029.
- 5.Acad id=WRT576E name=Wright, Edward mode=cs2 .
- 6.John Venn. Biographical History of Gonville and Caius College, 1349–1897: Containing a List of All Known Members of the College. Cambridge University Press. 1. 88–89. 1897.
- 7.Bernard Capp. Oxford Dictionary of National Biography. Oxford University Press. 2004.
- 8.Derek Ingram. The First Caian Engineer and the First Caian Pirate. The Caius Engineer. 13. 1. 2001.
- 9.Walter Bigges. A Summarie and True Discourse of Sir Francis Drakes VVest Indian Voyage wherein were Taken, the Townes of Saint Iago, Sancto Domingo, Cartagena & Saint Augustine: With Geographicall Mappes exactly Describing each of the Townes with their Scituations, and the Manner of the Armies to the Winning of them. [Begun by Walter Bigges, continued by Lieutenant Crofts, and edited by Thomas Cates.]. Imprinted . [b]y Richard Field, dwelling in the Blacke-Friars by Ludgate. 1589.
- 10.Parish register, London, St. Michael Cornhill, 8 August 1595, GL [marriage]: see Apt, "Wright, Edward", Oxford Dictionary of National Biography.
- 11.Parsons & Morris, p. 71.
- 12.Marie Boas Hall. The Scientific Renaissance 1450–1630. Dover Publications; Constable. 197–237 at 208. 1994. 0-486-28115-9.
- 13.Eli Maor. Trigonometric Delights. Princeton University Press. 165 at 176. 1998. 0-691-05754-0.
- 14.Susan M. Maxwell. Oxford Dictionary of National Biography. September 2004. 10.1093/ref:odnb/50911.
- 15.Lewi, "Mercator, Wright and Mapmaking", pp. 24–25.
- 16.Richard S. Westfall. The Galileo Project, Rice University. 1995.
- 17.Stephen Pumfrey. Science and Patronage in England, 1570–1625: A Preliminary Study. History of Science. 42. 2. 137 at 165. 2004. 10.1177/007327530404200201.
- 18.Pedro Nunes - Biography.
- 19.Mark Monmonier. Rhumb Lines and Map Wars: A Social History of the Mercator Projection. University of Chicago Press. 65–67. 2004. 0-226-53431-6.
- 20.Monmonier, Rhumb Lines and Map Wars, pp. 63–64.
- 21.Quoted in Lewi, "Mercator, Wright and Mapmaking", p. 25 (the reference in Lewi to Parsons & Morris, p. 65, is incorrect).
- 22.Monmonier, Rhumb Lines and Map Wars, p. 68.
- 23.Charles Hutton. A Philosophical and Mathematical Dictionary. Printed for the author by F.C. and J. Rivington [et al.]. 2. 619–620. 1815.
- 24.Thomas Blundeville. M. Blundevile His Exercises containing Sixe Treatises, the Titles wherof are Set Down in the Next Printed Page: Which Treatises are Verie Necessarie to be Read and Learned of all Yoong Gentlemen that haue not bene Exercised in such Disciplines, and yet are Desirous to haue Knowledge as well in Cosmographie, Astronomie, and Geographie, as also in the Arte of Navigation . To the Furtherance of which Arte of Navigation, the said M. Blundevile Speciallie Wrote the said Treatises and of Meere Good Will doth Dedicate the same to all the Young Gentlemen of this Realme. Printed by Iohn Windet, dwelling at the signe of the crosse Keies, neere Paules wharffe, and are there to be solde. 1594.
- 25.William Barlow. The Nauigators Supply. Conteining Many Things of Principall Importance Belonging to Nauigation, with the Description and Vse of Diuerse Instruments Framed Chiefly for that Purpose; but Seruing also for Sundry Other of Cosmography in Generall: the Particular Instruments are Specified on the Next Page. Imprinted . By G. Bishop, R. Newbery, and R. Barker. 1597.
- 26.Parsons & Morris, p. 62; Monmonier, Rhumb Lines and Map Wars, p. 70.
- 27.Monmonier, Rhumb Lines and Map Wars, pp. 68–70.
- 28.Lewi, "Mercator, Wright and Mapmaking", p. 29; the quotation is from Parsons & Morris, p. 62.
- 29.D.W. Waters. The Art of Navigation in England in Elizabethan and Early Stuart Times. Hollis & Carter. 550–551 and xxiv, plate 61. 1958. 0-19-856566-6.
- 30.Richard Hakluyt. The Principal Navigations, Voiages, Traffiques and Discoueries of the English Nation, Made by Sea or Overland . at Any Time Within the Compasse of these 1500 [1600] Yeeres, &c. G. Bishop, R. Newberie & R. Barker. 1598–1600.
- 31.University of Virginia. An Exhibition of Maps and Navigational Instruments, on View in the Tracy W. McGregor Room, Alderman Library, University of Virginia, July 10 to September 26, 1995. 31 January 2008.
- 32.William Shakespeare. Twelfth Night; or What You Will (Etext #2247). Project Gutenberg. July 2000.
- 33.Parsons & Morris, p. 68.
- 34.William Gilbert. De Magnete, magneticisque corporibus, et de magno magnete tellure; Physiologia nova, plurimis & argumentis, & experimentis demonstrata [The Magnet, Magnetic Bodies, and the Great Magnet the Earth; New Natural Science, Demonstrated by Many Arguments and Experiments]. Excudebat Petrus Short. 1600.
- 35.Danielle, Carlo. Delivering Prometheus A Critique of Enlightenment from Benjamin Franklin to Los Alamos. New York University. 9–10. 2012.
- 36.Stephen Andrew Johnston. Making Mathematical Practice: Gentlemen, Practitioners and Artisans in Elizabethan England. University of Cambridge. 182, n. 21. 1994.
- 37.Thomas Blundeville. The Theoriques of the Seuen Planets shewing all their Diuerse Motions, and all other Accidents, called Passions, thereunto Belonging. Now more Plainly set forth in our Mother Tongue by M. Blundeuile, than euer they haue been heretofore in any other Tongue whatsoeuer, and that with such Pleasant Demonstratiue Figures, as euery Man that hath any Skill in Arithmeticke, may easily Vnderstand the same. . VVhereunto is added by the said Master Blundeuile, a Breefe Extract by him made, of Maginus his Theoriques, for the Better Vnderstanding of the Prutenicall Tables, to Calculate thereby the Diuerse Motions of the Seuen Planets. There is also hereto added, the Making, Description, and Vse, of Two Most Ingenious and Necessarie Instruments for Sea-men . First Inuented by M. Doctor Gilbert . and now here Plainely set downe in our Mother Tongue by Master Blundeuile. Printed by Adam Islip. 1602.
- 38.Edward Wright. The Safegarde of Saylers, or Great Rutter. Contayning the Courses, Dystances, Deapths, Soundings, Flouds and Ebbes, with the Marks for the Entring of Sundry Harboroughs both of England, Fraunce, Spaine, Ireland. Flaunders, and the Soundes of Denmarke, with other Necessarie Rules of Common Nauigation. Translated out of Dutch . by Robert Norman . Newly corrected and augmented by E[dward] W[right]. By E. Allde for H. Astley. 1605.
- 39.Parsons & Morris, p. 69.
- 40.British Library, Cotton MS Titus B VIII, folio 318: see Parsons & Morris, p. 69.
- 41.Parsons & Morris, p. 70.
- 42.Thames Water. The story of the New River.
- 43.Clements R Markham. Commemoration of the Reign of Queen Elizabeth: Address by the President, Sir Clements R. Markham, K.C.B. Geographical Journal. Blackwell Publishing. 21. 6. 589–602 at 594. 1903. 10.2307/1775648.
- 44.Lawrence H. Officer. Purchasing power of British Pounds from 1264 to 2007. MeasuringWorth.com.
- 45.Alexander Brown. Note Prince Henry, eldest son of England's King James I (1594–1612). She-philosopher.com. 2. 1025–1026 , cited in citation. 7 March 2007.
- 46.John Aubrey. 'Brief Lives,' chiefly of Contemporaries, set down . between the Years 1669 & 1696. Edited from the Author's Mss. by Andrew Clark. Clarendon Press. 1898.
- 47.William Edward May. A History of Marine Navigation. G.T. Foulis & Co. Ltd. 1973. 0-85429-143-1.
- 48.John Napier. Mirifici Logarithmorum Canonis descriptio; ejusque usus, in utraque trigonometria, ut etiam in omni logistica mathematica, amplissimi, facillimi, & expeditissimi explicatio [Description of the Wonderful Rule of Logarithms: Its use in Trigonometry, as well as in all types of Mathematical Calculations, Explained Broadly, Easily and in an Unemcumbered Manner]. Ex officina Andreæ Hart. 1614.
- 49.Glaisher, James Whitbread Lee. 16. 869.
- 50.Parish register, London, St. Dionis Backchurch, 2 December 1615, GL [burial]: see Apt, "Wright, Edward", Oxford Dictionary of National Biography.
- 51.Lewi, "Mercator, Wright and Mapmaking", p. 31.
- 52.Willebrord Snellius. Willebrordi Snellii à Royen Tiphys Batavus, sive histiodromice, de navium cursibus et re navali. (Tabulæ canonicæ parallelorum Canones loxodromici προχειροι.) Willebrord Snellius van Royen; The Batavian Tiphys; or Navigation, Ships' Courses and Naval Matters. (Canonical Tables of Parallels, Handy Loxodromic Tables.). Ex officinâ Elzeviriana [From the office of Elzevir]. 1624.
- 53.Adriaan Metius. Adriani Metii Alcmar D.M. et matheseos profess. ordin. Primum mobile: astronomicè, sciographicè, geometricè, et hydrographicè, nova methodo explicatum in . opus absolutum, IV tomis distinctum [[By Adrianus Metius of Alkmaar, ordained Doctor of Medicine and professor of mathematics.] The Primum Mobile: Astronomically, Sciographically, Geometrically and Hydrographically Explained by a New Method in . a Complete Work Separated into 4 Tomes]. Apud Ioannem Ianssonium [by Jan Janszoon]. 1631.
- 54.Richard Norwood. The Seaman's Practice, contayning a Fundamentall Probleme in Navigation Experimentally Verified; namely Touching the Compasse of the Earth and Sea, and the Quantity of a Degree in our English Measures. Also an Exact Method . of Keeping a Reckoning at Sea; . Tables, etc. George Hurlock. 1637.
- 55.Charles Saltonstall. The Navigator, shewing and explaining all the Chiefe Principles and Parts both Theoricke and Practicke, that are contayned in the Famous Art of Navigation: With a New and Admirable Way of Sayling by the Arch of one of the Greatest Circles: Also contayning Excellent Tables most exactly Calculated, shewing the True Proportion of all in respect of the Meridian: With the Proper Phraises used in Working of a Ship according to all Weathers. Printed [by B[ernard] Alsop and T[homas] Fawcet] for Geo[rge] Herlock [sic: Hurlock]. 1636.
- 56.John Collins. Navigation by the Mariners Plain Scale New Plain'd: Or, A Treatise of Geometrical and Arithmetical Navigation; wherein Sayling is Performed in all the Three Kindes by a Right Line, and a Circle Divided into Equal Parts. Containing 1. New Ways of Keeping of a Reckoning, or Platting of a Traverse, both upon the Plain and Mercators Chart . 2. New Rules for Estimating the Ships Way through Currents, and for Correcting the Dead Reckoning. 3. The Refutation of Divers Errors, and of the Plain Chart, and how to Remove the Error Committed thereby . as also a Table thereof made to every other Centesm. 4. A New Easie Method of Calculation for Great Circle-sayling, with New Projections, Schemes and Charts . 5. Arithmetical Navigation, or Navigation Performed by the Pen, if Tables were Wanting . Printed by Tho. Johnson for Francis Cossinet, and are to be sold at the Anchor and Mariner in Tower-street, as also by Henry Sutton mathematical instrument-maker in Thread needle street, behinde the Exchange. 1659.
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