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)
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.
Apart from a number of other books and pamphlets, Wright translated
John Napier's pioneering 1614 work which introduced the idea of
Latin into English. This was published after Wright's death as A Description of the Admirable Table of Logarithmes (1616). Wright's work influenced, among other persons, Dutch astronomer and mathematician
Adriaan Metius, the geometer and astronomer from Holland; and the English mathematician
Richard Norwood, who calculated the length of a
degree on a
great circle of the earth using a method proposed by Wright.
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
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 an
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
astrologerChristopher Heydon, who was also Devereux's friend. Heydon later made astronomical observations with instruments Wright made for 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
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.
Mathematician and cartographer
Certaine Errors in Navigation
Wright helped the mathematician and globe maker
Emery Molyneux to plot coastlines on his
terrestrial globe, and translated some of the explanatory legends into
Latin. Molyneux's terrestrial and
celestial globes, the first to be manufactured in England, were published in late 1592 or early 1593, and Wright explained their use in his 1599 work Certaine Errors in Navigation. He dedicated the book to Cumberland, to whom he had presented a manuscript of the work in 1592, stating in the preface it was through Cumberland that he "was first moved, and received maintenance to divert my mathematical studies, from a theorical speculation in the Universitie, to the practical demonstration of the use of Navigation".
The navigation errors addressed by Wright in Certaine Errors in Navigation had been previously treated by
Pedro Nunes, whose works had been compiled in Petri Nonii Salaciensis Opera in 1566 (later expanded, corrected and re-edited as De arte adque ratione navigandi in 1573).
This is pointed out by Wright himself in the Preface:
Yet it may be, I shall be blamed by some, as being to busie a fault-finder myself. For when they shall, see their Charts and other instruments controlled which so long time have gone for current, some of them perhappes will scarcely with pacience endure it. But they may be pacified, if not by reason of the good that ensueth hereupon, yet towards me at the least because the errors I poynt at in the chart, have beene heretofore poynted out by others, especially by Petrus Nonius, out of whom most part of the first Chapter of the Treatise following is almost worde for worde translated;
appeal to the authority of Pedro Nunes and the fact that the first chapter treats the Faults in the common Sea Chart, With Rumbes expressed by right lines and degrees of latitude, everywhere equal, show Nune's influence in Wright's work. In addition, the effect of following a
rhumb line course on the surface of a globe was first discussed by Pedro Nunes in 1537 in his Treatise in Defense of the Marine Chart. In this work, Nunes proposes the construction of a nautical atlas composed of several large-scale sheets in the cylindrical equidistant projection as a way to minimize distortion of directions. If these sheets were brought to the same scale and assembled, they would approximate the
Mercator projection, later introduced by
Gerardus Mercator in 1569. Mercator never explained the method of construction of the projection bearing his name, nor how he arrived at it. Various hypotheses have been tendered over the years, but in any case Mercator's friendship with Pedro Nunes and his access to the loxodromic tables Nunes created likely aided his efforts. Mercator's projection was advantageous for nautical purposes as it represented lines of constant
true bearing or
true course (
rhumb lines), as straight lines.
In Certaine errors of navigation, Wright improved and diversified Nunes' charting method, thus explaining the construction and use of the
Mercator projection. As Wright himself puts it in Chapter 2:
By help of this planisphaere with the meridians, rumbes, and parallels thus described therein, the rumbs may much more easily & truly be drawn in the globe then by these mechanical wayes which Petrus Nonius [Pedro Nunes] teacheth cap. 26 lib. 2 de obser. Reg. et Instr. Geom..
In order to achieve this, Wright introduces the method for dividing the meridian, an explanation of how he had constructed a table for the division, and the uses of this information for navigation. On a globe,
circles of latitude (also known as parallels) get smaller as they move away from the
Equator towards the
South Pole. Thus, in the Mercator projection, when a globe is "unwrapped" on to a rectangular map, the parallels need to be stretched to the length of the Equator. In addition, parallels are further apart as they approach the
poles. Wright compiled a table with three columns. The first two columns contained the
latitudes for parallels spaced 10 minutes apart on a sphere, while the third column had the parallel's projected distance from the Equator. Any cartographer or navigator could therefore lay out a Mercator grid for himself by consulting the table. Wright explained:
I first thought of correcting so many gross errors ... in the sea chart, by increasing the distances of the parallels, from the
equinoctial towards the poles, in such sort, that at every point of latitude in the chart, a part of the meridian might have the same proportion to the like part of the parallel, that it has in the globe.
While the first edition of Certaine Errors contained an abridged table six pages in length, in the second edition which appeared in 1610 Wright published a full table across 23 pages with figures for parallels at one-minute intervals. The table is remarkably accurate – American geography professor
Mark Monmonier wrote a computer program to replicate Wright's calculations, and determined that for a Mercator map of the world 3 feet (0.91 m) wide, the greatest discrepancy between Wright's table and the program was only 0.00039 inches (0.0099 mm) on the map. In the second edition Wright also incorporated various improvements, including proposals for determining the magnitude of the Earth and reckoning common linear measurements as a proportion of a degree on the Earth's surface "that they might not depend on the uncertain length of a barley-corn"; a correction of
errors arising from the eccentricity of the eye when making observations using the
cross-staff; amendments in tables of
declinations and the positions of the sun and the stars, which were based on observations he had made together with Christopher Heydon using a 6-foot (1.8 m)
quadrant; and a large table of the
variation of the compass as observed in different parts of the world, to show that it is not caused by any
magnetic pole. He also incorporated a translation of
Rodrigo Zamorano's Compendio de la Arte de Navegar (Compendium of the Art of Navigation, Seville, 1581; 2nd ed., 1588).
Wright was prompted to publish the book after two incidents of his text, which had been prepared some years earlier, being used without attribution. He had allowed his table of meridional parts to be published by
Thomas Blundeville in his Exercises (1594) and in
William Barlow's The Navigator's Supply (1597), although only Blundeville acknowledged Wright by name. However, an experienced navigator, believed to be Abraham Kendall, borrowed a draft of Wright's manuscript and, unknown to him, made a copy of it which he took on Sir
Francis Drake's 1595 expedition to the West Indies. In 1596 Kendall died at sea. The copy of Wright's work in his possession was brought back to London and wrongly believed to be by Kendall, until the Earl of Cumberland passed it to Wright and he recognised it as his work. Also around this time, the Dutch cartographer
Jodocus Hondius borrowed Wright's draft manuscript for a short time after promising not to publish its contents without his permission. However, Hondius then employed Wright's calculations without acknowledging him for several regional maps, and in his world map published in Amsterdam in 1597. This map is often referred to as the "Christian Knight Map" for its engraving of a Christian knight battling sin, the flesh and the Devil. Although Hondius sent Wright a letter containing a faint apology, Wright condemned Hondius's deceit and greed in the preface to Certaine Errors. He wryly commented: "But the way how this [Mercator projection] should be done, I learned neither of Mercator, nor of any man els. And in that point I wish I had beene as wise as he in keeping it more charily to myself".
The first map to be prepared according to Wright's projection was published in his book, and showed the route of Cumberland's expedition to the Azores. A manuscript version of this map is preserved at
Hatfield House; it is believed to have been drawn about 1595. Following this, Wright created a new world map, the first map of the globe to be produced in England and the first to use the
Mercator projection since Gerardus Mercator's 1569 original. Based on Molyneux's terrestrial globe, it corrected a number of errors in the earlier work by Mercator. The map, often called the Wright–Molyneux Map, first appeared in the second volume of
Richard Hakluyt's The Principal Navigations, Voiages, Traffiques and Discoueries of the English Nation (1599). Unlike many contemporary maps and charts which contained fantastic speculations about unexplored lands, Wright's map has a minimum of detail and blank areas wherever information was lacking. The map was one of the earliest to use the name "
Virginia".Shakespeare alluded to the map in Twelfth Night (1600–1601), when Maria says of
Malvolio: "He does smile his face into more lynes, than is in the new Mappe, with the augmentation of the Indies." Another world map, larger and with updated details, appeared in the second edition of Certaine Errors (1610).
Gilbert had invented a
dip-compass and compiled a table recording the
dip of the needle below the horizon. Wright believed that this device would prove to be extremely useful in determining latitude and, with the help of Blundeville and Briggs, wrote a small pamphlet called The Making, Description and Use of the Two Instruments for Seamen to find out the Latitude ... First Invented by Dr. Gilbert. It was published in 1602 in Blundeville's book The Theoriques of the Seuen Planets. That same year he authored The Description and Use of the Sphære (not published till 1613), and in 1605 published a new edition of the widely used work The Safegarde of Saylers.
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
Westminster [,] the
Holbourne and London", However, according to a 1615 paper in Latin in the annals of Gonville and Caius College, 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 miles (32 km), 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-foot (30 m)
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 (approximately 8.7 centimetres 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
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 apparentHenry 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 8
s (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
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
In 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:
But now some of our countreymen in this Island well affected to these studies, and the more publique good, procured a most learned Mathematician to translate the same into our vulgar English tongue, who after he had finished it, sent the Coppy of it to me, to bee seene and considered on by myselfe. I having most willingly and gladly done the same, finde it to bee most exact and precisely conformable to my minde and the originall. Therefore it may please you who are inclined to these studies, to receive it from me and the Translator, with as much good will as we recommend it unto you.
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 367,196 feet (111,921 m), 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".
Wright, Edward (1599), Certaine Errors in Navigation, arising either of the Ordinarie Erroneous Making or Vsing of the Sea Chart, Compasse, Crosse Staffe, and Tables of Declination of the Sunne, and Fixed Starres Detected and Corrected. (The Voyage of the Right Ho. George Earle of Cumberl. to the Azores, &c.), London: Printed ... by Valentine Sims. Another version of the work published in the same year was entitled Wright, Edward (1599), Errors in nauigation 1 Error of two, or three whole points of the compas, and more somtimes [sic], by reason of making the sea-chart after the accustomed maner ... 2 Error of one whole point, and more many times, by neglecting the variation of the compasse. 3 Error of a degree and more sometimes, in the vse of the crosse staffe ... 4 Error of 11. or 12. minures [sic] in the declination of the sunne, as it is set foorth in the regiments most commonly vsed among mariners: and consequently error of halfe a degree in the place of the sunne. 5 Error of halfe a degree, yea an whole degree and more many times in the declinations of the principall fixed starres, set forth to be obserued by mariners at sea. Detected and corrected by often and diligent obseruation. Whereto is adioyned, the right H. the Earle of Cumberland his voyage to the Azores in the yeere 1589. wherin were taken 19. Spanish and Leaguers ships, together with the towne and platforme of Fayal, London: Printed ... [by Valentine Simmes and W. White] for Ed. Agas. Later editions and reprints:
Wright, Edward (1610), Certaine Errors in Navigation, Detected and Corrected with Many Additions that were not in the Former Edition... [with an Addition Touching the Variation of the Compasse], London: [s.n.].
Wright, Edward (1657), Certaine Errors in Navigation Detected and Corrected, with Many Additions that were not in the Former Edition.. (3rd ed.), London:
Wright, Edward (1974), Certaine errors in navigation; the voyage of ... George Earle of Cumberl. to the Azores, Amsterdam; Norwood, N.J.: Theatrum Orbis Terrarum; Walter J. Johnson. Photoreprint of the 1599 edition.
Chapter 12 of book 4 of
Gilbert, William (1600), 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], London: Excudebat Petrus Short (Latin).
The Making, Description and Use of the Two Instruments for Seamen to find out the Latitude ... First Invented by Dr. Gilbert, published in Blundeville, Thomas;
Briggs, Henry; Wright, Edward (1602), 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, London: Printed by Adam Islip.
Wright, Edward (1613), The Description and Vse of the Sphære. Deuided into Three Principal Partes: whereof the First Intreateth especially of the Circles of the Vppermost Moueable Sphære, and of the Manifould Vses of euery one of them Seuerally: the Second Sheweth the Plentifull Vse of the Vppermost Sphære, and of the Circles therof Ioyntly: the Third Conteyneth the Description of the Orbes whereof the Sphæres of the Sunne and Moone haue beene supposed to be Made, with their Motions and Vses. By Edward Wright. The Contents of each Part are more particularly Set Downe in the Table, London: Printed [by E. Allde] for Iohn Tap dwelling at S. Magnus corner. Later editions and reprints:
Wright, Edward (1627), The Description and Use of the Sphære. Deuided into Three Principall Parts. Whereof the First Intreateth especially of the Circles of the Vppermost Moueable Sphære, and of the Manifold Vses of euery one of them Seuerally. The Second Sheweth the Plentifull Vse of the Vppermost Sphære, and of the Circles thereof Joyntly. The Third Contayneth the Description of the Orbes whereof the Sphære of the Sunne and Moone haue been supposed to bee Made, with their Motions and Vses. By Edvvard Wright. The Contents of each Part are more particularly Set Downe in the Table, London: Printed by B[ernard] A[lsop] and T[homas] Fawcet for Iohn Tap, and are to bee sold at his shop at S. Magnus corner.
Wright, Edward (1969), The Description and Use of the Sphære. London 1613, Amsterdam; New York, N.Y.: Theatrum Orbis Terrarum;
Da Capo Press.
Wright, Edward (1614), A Short Treatise of Dialling Shewing, the Making of All Sorts of Sun-dials, Horizontal, Erect, Direct, Declining, Inclining, Reclining; vpon any Flat or Plaine Superficies, howsoeuer Placed, with Ruler and Compasse onely, without any Arithmeticall Calculation, London: Printed by Iohn Beale for William Welby.
Edited and translated
Stevin, Simon (1599), The Hauen-finding Art, or The VVay to Find any Hauen or Place at Sea, by the Latitude and Variation. Lately Published in the Dutch, French, and Latine Tongues, by Commandement of the Right Honourable Count Mauritz of Nassau, Lord High Admiral of the Vnited Prouinces of the Low Countries, Enioyning all Seamen that Take Charge of Ships vnder his Iurisdiction, to Make Diligent Obseruation, in all their Voyages, according to the Directions Prescribed herein: and now Translated into English, for the Common Benefite of the Seamen of England [by E. Wright] etc, translated by Wright, Edward, London: Imprinted by G. B[ishop] R. N[ewberry] and R. B[arker]. Reprinted as:
Wright, Edward, ed. (1605), 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], translated by
Norman, Robert, London: By E. Allde for H. Astley.
Napier, John (1616), A Description of the Admirable Table of Logarithmes: With a Declaration of the ... Use thereof. Invented and Published in Latin by ... L. John Nepair ... and Translated into English by ... Edward Wright. With an Addition of an Instrumentall Table to Finde the Part Proportionall, Invented by the Translator, and Described in the Ende of the Booke by Henry Brigs, etc, translated by Wright, E[dward], London: N. Okes. Later editions and reprints:
Napier, John (1618), A Description of the Admirable Table of Logarithmes: With a Declaration of the Most Plentifull, Easie and Speedy Use thereof in both kinds of Trigonometry, as also in all Mathematicall Calculations. Invented and Published inn Latine by that Honourable Lord John Nepair, Baron of Marchiston, and translated into English by the late learned and famous Mathematician, Edward Wright. With an Addition of the Instrumentall Table to finde the part of the Proportionall, intended by the Translator, and described in the end of the Booke by Henrie Brigs Geometry-reader at Gresham House in London. All Perused and Approved by the Authour, and Published since the Death of the Translator. Whereunto is added New Rules for the Ease of the Student, translated by Wright, E[dward] (2nd ed.), London: Printed for Simon Waterson.
Napier, John (1969), A Description of the Admirable Table of Logarithmes, London 1616, Amsterdam; New York, N.Y.: Theatrum Orbis Terrarum;
Da Capo Press.
abPaul J. Lewi (11 February 2006),
"Mercator, Wright and Mapmaking"(PDF), Speaking of Graphics: An Essay on Graphicacy in Science, Technology and Business, Turnhout, Belgium: DataScope, p. 24, archived from
the original(PDF) on 15 January 2009, Edward Wright was born in 1561 at Garveston, near Norfolk, in a family with modest income (mediocris fortunae)
^Walter Bigges; Lieutenant Crofts (1589), Thomas Cates (ed.), 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 Approching [sic] to the Winning of them. [Begun by Walter Bigges, continued by Lieutenant Crofts, and edited by Thomas Cates.], London: Imprinted ... [b]y Richard Field, dwelling in the Blacke-Friars by Ludgate.
^Thomas Blundeville (1594), 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, London: Printed by Iohn Windet, dwelling at the signe of the crosse Keies, neere Paules wharffe, and are there to be solde
^William Barlow (1597), 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, London: Imprinted ... By G. Bishop, R. Newbery, and R. Barker
^Parsons & Morris, p. 62; Monmonier, Rhumb Lines and Map Wars, p. 70.
^Lewi, "Mercator, Wright and Mapmaking", p. 29; the quotation is from Parsons & Morris, p. 62.
^Gerard L'Estrange Turner (2000), Elizabethan Instrument Makers: The Origins of the London Trade in Precision Instrument Making, Oxford:
Oxford University Press, p. 41,
ISBN0-19-856566-6; citing D.W. Waters (1958), The Art of Navigation in England in Elizabethan and Early Stuart Times, London: Hollis & Carter, pp. 550–551 and xxiv, plate 61
^Richard Hakluyt (1598–1600), 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  Yeeres, &c, London: G. Bishop, R. Newberie & R. Barker, 3 vols: see Parsons & Morris, pp. 67–68; Monmonier, Rhumb Lines and Map Wars, p. 70.
^William Gilbert (1600), 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], London: Excudebat Petrus Short (Latin).
Henry Briggs; Edward Wright (1602), 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, London: Printed by Adam Islip
^Edward Wright, ed. (1605), 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], translated by
Robert Norman, London: By E. Allde for H. Astley
^Alexander Brown (1890), The Genesis of the United States. A Narrative of the Movement in England, 1605–1616, which Resulted in the Plantation of North America ... set forth through a Series of Historical Manuscripts now first Printed, together with a Reissue of Rare Contemporaneous Tracts, accompanied by Bibliographical Memoranda, Notes, and Brief Biographies. Collected ... and Edited by A. Brown .., vol. 2, London; Cambridge, Mass.:
William Heinemann, pp. 1025–1026, cited in
Note Prince Henry, eldest son of England's King James I (1594–1612), She-philosopher.com, 7 March 2007, retrieved 19 May 2008
^John Aubrey's manuscripts, later published as
John Aubrey (1898), Andrew Clark (ed.), 'Brief Lives,' chiefly of Contemporaries, set down ... between the Years 1669 & 1696. Edited from the Author's Mss. by Andrew Clark.., Oxford:
Clarendon Press, 2 vols., cited in Brown, The Genesis of the United States, vol. 2, pp 1025–1026.
^See also William Edward May (1973), A History of Marine Navigation, Henley-on-Thames, Oxfordshire: G.T. Foulis & Co. Ltd.,
^John Napier (1614), 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], Edinburgh: Ex officina Andreæ Hart (
^Willebrord Snellius (1624), 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.),
Leiden: Ex officinâ Elzeviriana [From the office of
Tiphys was the
helmsman of the
Greek mythology, while "Batavia" is a name for the
Dutch Republic. The main title of Snellius's book therefore means "the Dutch helmsman".
^Adriaan Metius (1631), 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], Amsterdam: Apud Ioannem Ianssonium [by
Jan Janszoon (Latin). "Sciography", a variant of "sciagraphy", is the branch of the science of perspective dealing with the projection of shadows, or the art or practice of determining time by observing the shadow of the sun, moon or stars on a dial:
OED Online (2nd ed.), Oxford:
Oxford University Press, 1989, retrieved 26 May 2008[dead link]
^Richard Norwood (1637), 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, London: George Hurlock
^Charles Saltonstall (1636), 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 Paralels [sic] in respect of the Meridian: With the Proper Phraises used in Working of a Ship according to all Weathers, London: Printed [by B[ernard] Alsop and T[homas] Fawcet] for Geo[rge] Herlock [sic: Hurlock].
^John Collins (1659), 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 .., London: 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
^Erwin Tomash; Michael R. Williams,
"N"(PDF), The Tomash Collection on the History of Computing: An Annotated and Illustrated Catalog, Calgary, Alta.:
University of Calgary, p. 913 at 922[dead link]