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Navigation

30 of 34 parts in The Mathematicall Praeface to the Elements of Geometrie by John Dee

Original

The Arte of Nauigation, demonstrateth how, by the shortest good way, by the aptest Directiõ, & in the shortest time, a sufficient Ship, betwene any two places (in passage Nauigable,) assigned: may be cõducted: and in all stormes, & naturall disturbances chauncyng, how, to vse the best possible meanes, whereby to recouer the place first assigned. What nede, the Master Pilote, hath of other Artes, here before recited, it is easie to know: as, of Hydrographie, Astronomie, Astrologie, and Horometrie. Presupposing continually, the common Base, and foundacion of all: namely Arithmetike and Geometrie. So that, he be hable to vnderstand, and Iudge his own necessary Instrumentes, and furniture Necessary: Whether they be perfectly made or no: and also can, (if nede be) make them, hym selfe. As Quadrantes, The Astronomers Ryng, The Astronomers staffe, The Astrolabe vniuersall. An Hydrographicall Globe. Charts Hydrographicall, true, (not with parallell Meridians). The Common Sea Compas: The Compas of variacion: The Proportionall, and Paradoxall Compasses

(Anno. 1559.)

(of me Inuented, for our two Moscouy Master Pilotes, at the request of the Company) Clockes with spryng: houre, halfe houre, and three houre Sandglasses: & sundry other Instrumẽtes: And also, be hable, on Globe, or Playne to describe the Paradoxall Compasse: and duely to vse the same, to all maner of purposes, whereto it was inuented. And also, be hable to Calculate the Planetes places for all tymes.

Moreouer, with Sonne Mone or Sterre (or without) be hable to define the Longitude & Latitude of the place, which he is in: So that, the Longitude & Latitude of the place, from which he sayled, be giuen: or by him, be knowne. whereto, appertayneth expert meanes, to be certified euer, of the Ships way. &c. And by foreseing the Rising, Settyng, Nonestedyng, or Midnightyng of certaine tempestuous fixed Sterres: or their Coniunctions, and Anglynges with the Planetes, &c. he ought to haue expert coniecture of Stormes, Tempestes, and Spoutes: and such lyke Meteorologicall effectes, daungerous on Sea. For (as Plato sayth,) Mutationes, opportunitates[que] temporum presentire, non minus rei militari, quàm Agriculturæ, Nauigationi[que] conuenit. To foresee the alterations and opportunities of tymes, is conuenient, no lesse to the Art of Warre, then to Husbandry and Nauigation. And besides such cunnyng meanes, more euident tokens in Sonne and Mone, ought of hym to be knowen: such as (the Philosophicall Poëte) Virgilius teacheth, in hys Georgikes. Where he sayth,

(Sidenote: Georgic. 1.)

Sol quo[que] & exoriens & quum se condet in vndas, Signa dabit, Solem certissima signa sequuntur. &c. -------- Nam sæpe videmus, Ipsius in vultu varios errare colores. Cæruleus, pluuiam denunciat, igneus Euros. Sin maculæ incipient rutilo immiscerier igni, Omnia tum pariter vento, nimbis[que] videbis Feruere: non illa quisquam me nocte per altum Ire, ne[que] a terra moueat conuellere funem. &c. Sol tibi signa dabit. Solem quis dicere falsum Audeat? -------- &c.

And so of Mone, Sterres, Water, Ayre, Fire, Wood, Stones, Birdes, and Beastes, and of many thynges els, a certaine Sympathicall forewarnyng may be had: sometymes to great pleasure and proffit, both on Sea and Land. Sufficiently, for my present purpose, it doth appeare, by the premisses, how Mathematicall, the Arte of Nauigation, is: and how it nedeth and also vseth other Mathematicall Artes: And now, if I would go about to speake of the manifold Commodities, commyng to this Land, and others, by Shypps and Nauigation, you might thinke, that I catch at occasions, to vse many wordes, where no nede is.

Yet, this one thyng may I, (iustly) say. In Nauigation, none ought to haue greater care, to be skillfull, then our English Pylotes. And perchaunce, Some, would more attempt: And other Some, more willingly would be aydyng, it they wist certainely, What Priuiledge, God had endued this Iland with, by reason of Situation, most commodious for Nauigation, to Places most Famous & Riche. And though,

(* Anno. 1567 S. H. G.)

(of * Late) a young Gentleman, a Courragious Capitaine, was in a great readynes, with good hope, and great causes of persuasion, to haue ventured, for a Discouerye, (either Westerly, by Cape de Paramantia: or Esterly, aboue Noua Zemla, and the Cyremisses) and was, at the very nere tyme of Attemptyng, called and employed otherwise (both then, and since,) in great good seruice to his Countrey, as the Irish Rebels haue * tasted:

(* Anno. 1569)

Yet, I say, (though the same Gentleman, doo not hereafter, deale therewith) Some one, or other, should listen to the Matter: and by good aduise, and discrete Circumspection, by little, and little, wynne to the

sufficient knowledge of that Trade and Voyage: Which, now, I would

be sory, (through Carelesnesse, want of Skill, and Courrage,) should remayne Vnknowne and vnheard of. Seyng, also, we are herein, halfe Challenged, by the learned, by halfe request, published. Therof, verely, might grow Commoditye, to this Land chiefly, and to the rest of the Christen Common wealth, farre passing all riches and worldly Threasure.

Musean translation

Modern machine-assisted Musean edition by Mouseia, from Dee's 1570 Praeface. Latin quotations and titles are translated into English, using Dee's own English glosses where provided. Printer's type-size markup is normalized; marginal notes are kept as asides. Billingsley's separate address is omitted. Uncertain readings are marked.

The art of Navigation demonstrates how a sufficient ship, between any two places assigned (in navigable passage), may be conducted by the shortest good way, by the aptest direction, and in the shortest time; and in all storms and natural disturbances that may happen, how to use the best possible means to recover the place first assigned. What need the master pilot has of the other arts recited before is easy to know: of hydrography, astronomy, astrology, and horometry; always presupposing the common base and foundation of all, namely arithmetic and geometry. So that he is able to understand and judge his own necessary instruments and necessary equipment, whether they are perfectly made or not, and also can, if need be, make them himself: quadrants, the astronomer's ring, the astronomer's staff, the universal astrolabe, a hydrographical globe, true hydrographical charts (not with parallel meridians), the common sea compass, the compass of variation, the proportional and paradoxical compasses.

(Year 1559.)

(Invented by me for our two Moscouy master pilots, at the request of the Company) clocks with springs: hour, half-hour, and three-hour sand glasses, and sundry other instruments; and also to be able, on globe or plane, to describe the paradoxical compass, and duly to use the same to all manner of purposes for which it was invented; and also to be able to calculate the planets' places for all times.

Moreover, with sun, moon, or star (or without them) he is able to define the longitude and latitude of the place which he is in; so that the longitude and latitude of the place from which he sailed be given, or known to him. To which belong expert means of always being certain of the ship's course, and so on. And by foreseeing the rising, setting, culmination at noon, or culmination at midnight of certain tempestuous fixed stars, or their conjunctions and angles with the planets, and so on, he ought to have expert conjecture of storms, tempests, and waterspouts, and such like meteorological effects, dangerous at sea. For, as Plato says, To foresee the alterations and opportunities of times is fitting no less to the art of war than to husbandry and navigation. And besides such skillful means, more evident tokens in sun and moon ought to be known to him: such as the philosophical poet Virgilius teaches in his Georgics, where he says:

(Georgic. 1.)

The sun also, both at his rising and when he sinks into the waves, will give signs; the surest signs follow the sun, etc. … For often we see that on his very face various colors wander. Blue, he announces rain; fiery, the east winds. But if spots begin to mingle with the ruddy fire, then you will see everything alike seething with wind and storm clouds: on such a night let no one urge me to go out over the deep, or to pull up the cable from the land, etc. The sun will give you signs. Who would dare call the sun false? … etc.

And so of moon, stars, water, air, fire, wood, stones, birds, and beasts, and of many things else, a certain sympathetic forewarning may be had, sometimes to great pleasure and profit, both on sea and land. Enough for my present purpose it appears from the premises how mathematical the art of navigation is, and how it needs and also uses other mathematical arts. And now, if I should go about to speak of the many benefits coming to this land and others by ships and navigation, you might think that I catch at occasions to use many words where none are needed.

Yet this one thing may I justly say: in navigation, none ought to take greater care to be skillful than our English pilots. And perhaps some would attempt more, and others more willingly would help, if they knew for certain what privilege God had endowed this island with, by reason of a situation most convenient for navigation to places most famous and rich. And though,

(Year 1567 S. H. G.)

(Of late) a young gentleman, a courageous captain, was in great readiness, with good hope and strong grounds of confidence, to have ventured on a discovery (either westward, by Cape de Paramantia; or eastward, above Nova Zemla and the Cyremisses), and was, at the very near time of attempting it, called and employed otherwise, both then and since, in great good service to his country, as the Irish rebels have experienced:

(Year 1569)

Yet I say, though the same gentleman does not hereafter deal with the matter, someone or other should attend to it; and by good advice and careful discretion, little by little, gain sufficient knowledge of that trade and voyage; which now I would be sorry, through carelessness, lack of skill and courage, should remain unknown and unheard of. Seeing also that, in this matter, we are half challenged by the learned and half requested to publish. From this, truly, might grow benefit, to this land chiefly, and to the rest of the Christian commonwealth, far surpassing all riches and worldly treasure.

Plain English translation

Modern machine-assisted Plain English edition by Mouseia, from Dee's 1570 Praeface. Latin quotations and titles are translated into English, using Dee's own English glosses where provided. Printer's type-size markup is normalized; marginal notes are kept as asides. Billingsley's separate address is omitted. Uncertain readings are marked.

The art of Navigation demonstrates how, by the shortest good way, by the aptest direction, and in the shortest time, a sufficient ship, between any two places (in navigable passage) assigned, may be conducted: and in all storms and natural disturbances happening, how to use the best possible means, by which to recover the place first assigned. What need the master pilot has of the other arts recited here before, it is easy to know: as of hydrography, astronomy, astrology, and horometry. Presupposing continually the common base and foundation of all: namely arithmetic and geometry. So that he be able to understand and judge his own necessary instruments, and necessary equipment: whether they are perfectly made or not: and also can (if need be) make them himself. As quadrants, the astronomer's ring, the astronomer's staff, the universal astrolabe. A hydrographic globe. Hydrographic charts, true (not with parallel meridians). The common sea compass: the compass of variation: the proportional and paradoxical compasses

Year 1559.

(invented by me, for our two Muscovy master pilots, at the request of the Company) clocks with springs: hour, half-hour, and three-hour sandglasses: and various other instruments: and also be able, on a globe or a plane, to describe the paradoxical compass, and duly to use the same, for all manner of purposes to which it was invented. And also be able to calculate the planets' places for all times.

Moreover, with sun, moon, or star (or without them) be able to define the longitude and latitude of the place which he is in: so that the longitude and latitude of the place from which he sailed be given, or known to him. To which belongs an expert means of always being certain of the ship's course. etc. And by foreseeing the rising, setting, non-setting, or midnighting of certain stormy fixed stars, or their conjunctions and angles with the planets, etc., he ought to have expert conjecture of storms, tempests, and waterspouts, and such meteorological effects, dangerous at sea.

For, as Plato says, To foresee the changes and opportunities of times is fitting no less to the art of war than to husbandry and navigation.

And besides such cunning means, more evident tokens in sun and moon ought to be known by him: such as (the philosophical poet) Virgilius teaches in his Georgics. Where he says,

Georgic 1.

The sun also, both at his rising and when he sinks into the waves, will give signs; the surest signs follow the sun, etc.—For often we see that on his very face various colors wander. Blue, he announces rain; fiery, the east winds. But if spots begin to mingle with the ruddy fire, then you will see everything alike seething with wind and storm clouds: on such a night let no one urge me to go out over the deep, or to pull up the cable from the land, etc. The sun will give you signs. Who would dare call the sun false?—etc.

And so of moon, stars, water, air, fire, wood, stones, birds, and beasts, and of many other things, a certain sympathetic forewarning may be had: sometimes to great pleasure and profit, both on sea and land. It appears sufficiently, for my present purpose, from what has gone before, how mathematical the art of navigation is: and how it needs and also uses other mathematical arts: And now, if I were to go about to speak of the many benefits coming to this land, and others, by ships and navigation, you might think that I was seizing chances to use many words where they are not needed.

Yet this one thing I may justly say. In navigation, none ought to take greater care to be skilled than our English pilots. And perhaps some would attempt more, and others would more willingly help, if they knew for certain what privilege God had given this island, by reason of its situation, most convenient for navigation, to places most famous and rich. And though,

Year 1567 S. H. G.

(of late) a young gentleman, a courageous captain, was in great readiness, with good hope and strong grounds of persuasion, to have ventured for a discovery (either westward, by Cape de Paramantia, or eastward, above Nova Zemla and the Cyremisses), and was, at the very near time of attempting, called and employed otherwise (both then and since) in great good service to his country, as the Irish rebels have tasted:

Year 1569

Yet I say, though the same gentleman does not deal with it hereafter, someone or other should attend to the matter: and by good advice and careful judgment, little by little, win sufficient knowledge of that trade and voyage: which now I would be sorry (through carelessness, lack of skill, and courage) should remain unknown and unheard of. Since also we are here half challenged by the learned, by a request half published. From it, truly, might grow benefit, to this land chiefly, and to the rest of the Christian commonwealth, far surpassing all riches and worldly treasure.

About this section

Navigation is part of The Mathematicall Praeface to the Elements of Geometrie by John Dee. This page sets the 16th-century English original beside 2 direct-source translations, so any line can be checked against the source. It is part 30 of 34 in the work, which is kept in the European tradition.

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