This post completes the section on early 17th century ship design.
Early 17th Century Ship Design (continued)
Matthew Baker’s idea to put plans on paper was in important technological advance for English shipwrights. Now, the results of mathematical calculations could be inexpensively and rapidly seen. The allowed shipwrights to experiment with different mathematical techniques. Without these techniques, progress would have been slow, had it occurred at all. None of the historically important wooden ships of the 17th through the 19th centuries would have been built the way they were. Maritime trade would have been vastly different, as would have been naval battles. Despite the importance of mathematics, it is almost never discussed in the popular literature on historic ships. Some shipwrights felt otherwise.
Baker emphasizes its importance by explaining what happened when shipwrights did not know mathematics. He writes:
“For as mich as the goodnis of everi shipp doth consist in the parfitnes of the midship mold it is requerid the same be parfitly made all thoug at this day sum ther be that ueseth Jeometricall demonstration for the same it such as ar unparfit and they not abell to render a reason therof for that the want the ij [two]
[1] soporting pilars of everi art ...”
Here, he is saying that good ships require good midship bends, and too many shipwrights of his era lacked the knowledge of arithmetic and geometry (“the two supporting pillars of every art”) necessary to determine their shapes. (Blatcher 1989)
Baker is not alone in complaining about how lack of mathematical prowess among shipwrights led to defective ships. George Waymouth, probably in the early 17th century, wrote;
“The Shipwrights of England and of Christendom build ships only by uncertain traditional precepts and observations and chiefly by the deceiving aim of their eye, where for want of skill to work by such proportions as in Art is required and is ever certain, I have found these defects.” (Perrin 1918, pg lxxii)
The
Treatise on Shipbuilding (ca 1620-1625; hereafter referred to as the
Treatise) chimes in by saying that “so many times good ships are spoiled in the building whose principal lines were well contrived in the plotting. The chiefest reason is want of skill in Arithmetic and Geometry…”
By the mid 17th century, mathematics had become so engrained in ship design that the shipwright Edmund Bushnell concluded that drawn plans might not be needed at all. The important dimensions of a ship could be determined using math;
“ for in this kind of Arithmetical Work, it mattereth not, whether there be any Draught drawn at all, or no, if the builder only note in his Book the length by the Keel, and the breadth at the Beam, the Rack [rake] of the Stem, Rack of the Post, depth of the Water to Sail in depth of the Hould, height of the Waals abaft, afore at the Midships, and all the remarkable things to be noted, he may be able to Build a Vessel, and never draw a Draught at all, and yet affirm his Work to be absoluely true, according to Art, and a great deal more exact than by Draught…”. (Bushnell 1678, 30)
This is not as far-fetched as it sounds. The mathematical approach used to generate the present plans, and the dimensions provided herein, are sufficient to accomplish much of Bushnell’s goal. As a result, anyone attempting to construct a model from the present plans can build most of it from the provided dimensions. The drawn plans are largely superfluous.
Because mathematics was considered so important, nearly every major work on ship design written over the two centuries after Baker’s
Fragments begins with one or more chapters about it (the
Treatise is a notable exception). Initially, these works describe only geometry, which is understandable. It was a pillar of classical education, and was taught to all educated men. By the time of Mungo Murray’s 1754
Treatise on Ship-Building and Navigation (Murray 1754) and Steel’s 1805
The Shipwright’s Vade-Mecum,
[2] these introductory sections also contained considerable information about trigonometry.
The importance of mathematics, at least among elite shipwrights., may be obscured by the lack of sophistication in some works from the early 17th century. They were, however, intended for different audiences. Edmund Bushnell’s 1664 treatise is geared to practicing shipwrights with little or no knowledge of how to use math to define the shape of a ship, though he repeatedly characterizes is work as “arithmetical.” As a work not intended for the elite, it keeps its subject simple. This is probably why Bushnell’s work was widely read. It was printed in five separate editions (the first was appeared in 1664, two editions appeared in 1669, and the remaining two in 1678 and 1688). Later, it was included almost word-for-word in three editions of another work called “Marine Architecture or, the Ship-Builder’s Assistant: Containing Directions for Carrying on a Ship, from the first laying of the Keel, to the actual Going to Sea” that was published in 1736, 1739, and 1748. (Olaberria 2018, 83)
Sir Anthony Deane’s
Doctrine of Naval Architecture was written for Samuel Pepys, a man not known for his knowledge of ship design, and who was Deane’s patron. Deane’s descriptions are incomplete, often vague, and he uses mathematics to form arcs so simple that they may be simplifications he made for the purpose of explanation (Endsor 2020, pgs 109, 110). Perhaps Deane’s intended audience explains why he appears more interested in letting us know how much he knows rather than telling us what he knows. His work also has a self-promotional air about it. No other contemporary work on naval architecture makes such liberal use of the first person singular. Edmund Bushnell’s work was into its third printing when Anthony Deane wrote his
Doctrine in 1670.
Both Bushnell and Dean stand in contrast to the
Treatise, whose author displays considerable mathematical skill. The
Treatise may have been written for apprentice shipwrights, and it appears to describe the actual practice of ship design. (Endsor 2020, pg 112). If the
Treatise was used to teach apprentices, it would be following a precedent set by Mathew Baker. His “
Fragments” were written despite shipwright’s secrecy, and at least part of them seem to have been a teaching tool for his pupils and apprentices. (Johnston 1994, pg 132)
The identity of the
Treatise’s author is unknown. We do not even have the original manuscript. All we have are copies that abruptly end by referring to a table that no longer exists. Salisbury suggests the author was the same John Wells, (Salisbury 1958),
[3] who wrote some of the
Fragments. This may explain why its proportions for a ship’s main dimensions and the sweeps of the midship bend agree almost word-for word with those on a quarto sheet pasted to the last page of the
Fragments. (Salisbury 1958) Others have suggested that the
Treatise’s author was Phineas Pett (Coates 1981), but the
Treatise’s failure to mention 3-decked ships makes this unlikely.
Supporting the idea of the
Treatise as a teaching aid is that it begins as like an introductory textbook. It starts with the definition of a ship:
“A ship is a concave body of framed timber, plank, and ironwork, and contrived into several decks and rooms fitted for the use of men, munition, and victuals.”
It continues its “introductory” text with definitions of what a ship’s hull is, and then provides several pages of additional definitions and descriptions, including definitions of planks, decks, knights, capstans, and more.
Thereafter, the
Treatise becomes quite sophisticated for its time. It provides numbers that lie to the right of the decimal point. Many shipwrights of the
Sovereign’s era were uncomfortable with this. They preferred to work with fractions. Deane is an example of this. He often uses fractions that are unusual to the modern eye. For example, for smaller ships, Deane says he uses a transom whose width is 20/27 of the breadth. The
Treatise even uses logarithms.
[4] The use of logarithms shows that the its author was someone who was aware of recent developments in mathematics. This lends credence to the idea that Wells, who was a mathematician, was its author.
The mathematics embodied in the
Treatise and other works on ship design do not mean that shipbuilding had become a scientific process. When Deane or the
Treatise, for example, recommend a certain proportion, this proportion is still based on the experiences and prejudices of the builder (Lavery, Introduction 1982, pg 22), and not on empirically rigorous investigations of what worked best.
Nevertheless, ships of this era were the significant achievements. No other human constructions brought together mathematics, hydrodynamics (as seen in the understanding, however rudimentary, of the functions of rising and narrowing lines), an implicit physics that determined how thick ropes and blocks had to be to withstand whatever strain they would be put under, the astronomy required for using navigational instruments, the metallurgy required for gun founding, and more. The surprising thing is not what those who build ships and the devices aboard them did not know, it is what they
did know.
Unfortunately, shipwrights do not always tell us what they knew. English shipwrights were particularly secretive about those aspects of ship design that affected how well a ship sailed. These aspects are described by the heights and curves of lines that describe where and how a ship narrows towards the bow and stern. They are called the rising and narrowing lines. The
Treatise describes them by saying that:
“…the chief properties of a good ship … are 3: to go well, to steer well, and to bear a good sail. All [of]
[5] which depends upon the choice of lines for each several plane, for the rising lines must be neither too high nor too low, nor the narrowing lines to lank nor too full, nor the s[weeps] of the bends too round or too straight…”
[6]
Because of the perceived importance and the secrecy of these lines, it is no wonder that a letter written by Sir Henry Sheers that refers to them as “mysterious lines.” (Endsor 2020) It is also no wonder that Edmund Bushnell complains about this secrecy in the introduction to his 1678 edition of “The Complete Ship-Wright.” (Bushnell 1678) His description of shipwrights tells us:
“their knowledge they desire to keep to themselves, or at least among so small a number as they can; for although some of them have many Servants, and by Indenture (I suppose) bound to teach them all alike the fame Art and Mysterie that he himself useth; yet it maybe he may teach some one, and the rest must be kept ignorant: so that those Ship-wrights, although bred by such knowing Men yet they are able to teach their Servants nothing more than to Hew, or Dub ,to Fay a Piece when it is Moulded to his place assigned, or the like: but if occasion require, that the greatest part of these Men, by being Carpenters of Ships, or the like, may be removed from England to Virginia, or New-England or the like Countreys, where Timber is plenty for their use, yet through their ignorance, they durst not undertake such a Work…”
This desire for secrecy even surfaces in contemporary works on naval architecture. Deane is certainly less than transparent in his descriptions. For example, when it comes to designing the all-important shape of the hull, he progressively reduces the radii of the arcs he uses used to draw the bends on his body plan, but does not even admit to doing so, let alone tell us how he does it. (Lavery, Deane's System 1670, pg 26)
Phineas Pett, and the entire Pett family of shipwrights, was no exception. It has been said of them that “this family furnished a succession of architects for the Royal Navy, their plans and methods being transmitted to one another with the profound secrecy then jealously maintained in the profession to which they belonged.” (Ford 1906) This is exemplified by Peter Pett’s comment after the Dutch sailed up the Thames Rive in 1667, and then on to the Chatham dockyard on the Medway, where they burned or captured fourteen English ships, one which was the English’ fleet’s flagship, the
Royal Charles. Pett suggested that it was better that the Dutch had captured actual ships than his models for, if they had captured the latter, the secrets of his designs would have been revealed. (Lavery, The Ship of the Line 1984, pg 14)
The English crown also had an interest in keeping its country’s shipbuilding methods secret. It gave them naval superiority. Accordingly, the letter from Mansell, Pennington, Wells, and Pett that accompanied the listing of the
Sovereign of the Sea’s dimensions says:
“Your Maty will be pleased to be informed that after mature debate we have likewise agreed upon the rules to be proportioned to each sweep of the midship bend, and where the bend is to be placed, and likewise of the rules to be held in her narrowing and rising lines,
which we all pray may be only imparted to your Maty.” [italics added]
France sent spies to several European countries to overcome this secrecy. They were usually arranged as visits through official channels with foreign governments. One such agent was sent to the Depford shipyards in England in 1663, and another agent travelled to England in 1671. The agents concluded that the hull proportions and masting of British warships were superior to those of the French. (Ferriero 2007, pg 64)
Exactly which ships these agents examined is unknown, so the degree to which this superiority extended to ships with spritsail topmasts (these are ships, like the
Sovereign, with a mast on the bowsprit) requires speculation. These early ships were unstable. Indeed, the presence of such a mast indicates instability. They achieved stability by relying on proper ballasting and on the sails’ trim. Today, stability is built in to ships. Almost every full-sized replica of a wooden ship has been modified to meet current standards of stability, sometimes because regulatory authorities would not allow a ship as unstable as the original to be built, and sometimes because builders did not want to sail in a ship that was so unstable. This highlights the notion that 17th century ships were designed and built by people who had very different notions of acceptable risk than we do, and who took very different things for granted. (Reid 2016)
References
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Navy Board Ship Models. Barnsley (UK): Seaforth Publishing.
Blatcher, Margaret. 1989. "Chatham Dockyard and a LIttle Known Shipwright, Matthew Baker (1530 -1613)."
Archaeologia Cantiana (Kent Archeological Society) 107: 15-172.
Bushnell, Edmund. 1678.
The Compleat Ship-Wright, Fourth Edition. London: William Fisher.
Castro, Filipe. 2002.
Fragments of Ancient Shipwrightry. Texas A&M University Nautical Archaeology Program. Accessed January 6, 2021.
https://nautarch.tamu.edu/shiplab/treatisefiles/ttfragments.htm.
Coates, J F. 1981. "The Authorship of a Manuscipt of Shipbuilding c 1600-1620."
Mariner's Mirror, 67 285-286.
Dibner Inst. History Sci. Technology. 2005.
Micheal of Rhodes. Accessed June 8, 2021.
https://brunelleschi.imss.fi.it/michaelofrhodes/index.html.
—. 2005.
Ships and Shipbuilding: Design and Construction. Accessed 1 11, 2022.
https://brunelleschi.imss.fi.it/michaelofrhodes/ships_design.html.
Endsor, Richard. 2020.
The Master Shipwright's Secrets. New York: Osprey Publishing.
Ferriero, Larrie D. 2007.
Ships and Science. Cambridge: Massachusetts Institute of Technology.
Ford, Thomas G. 1906. "Earliest English Navigation, and FIrst Schools of Warfare."
Proceedings of The United States Naval Institute, 32 473-522.
Hemingway, James Peter. 2002.
The Work of the Surveyors of the Navy during the Period of the Establishments: A Comparative Study of Naval Architeccture Between 1672 and 1755. Doctoral DIssertatioin, Bristol: University of Bristol.
Heywood, Thomas. 1637. "A True Description of His Majesties Royall Ship, Built this Yeare 1637 at Wooll-witch in Kent. To the great glory of the English Nation and not paraleld in the whole Christian Worl." London: John Oakes.
Johnston, S A. 1994.
Making mathematical practice : gentlemen, practitioners and artisans in Elizabethan England (Doctoral thesis). https://doi.org/10.17863/CAM.19773.
Kirsch, Peter. 1988.
The Galleon. London: Conway Maritime Press, Ltd.
Lavery, Brian. 1670. "Deane's System." In
Deane's Doctrine of Naval Architecture, 1670, by Anthony Deane, 128. Annapolis, MD: Naval Institute Press.
Lavery, Brian. 1982. "Introduction." In
Deane's Doctrine of Naval Architecture, 1670, 7-31. Annapolis: Naval Institute Press.
—. 1984.
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Doctoral DIssertation. Georgia Institte of Technology, May.
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[1] Throughout the present manuscript, brackets contain clarifications and corrections added to the original text.
[2] A vade mecum is a handbook or guide that is constantly kept at one’s side for consultation.
[3] A copy of the
Treatise can be found in Peter Kirsch’s book “The Galleon.” (Kirsch 1988).
[4] The
Treatise’s author uses logarithms to find the exact length of each sweep that makes up a bend. He does this because transforming the measurements from a small ship plan to the large, actual ship could result in substantial error. Logarithms are not discussed here because plans for model ship are often the same size, or nearly the same size as the model being built.
[5] Bracketed words within the quotes from the
Treatise were added by Salisbury to increase its readability.
[6] This last sentence of this quote reveals some awareness of hydrodynamics as manifested in an understanding that the shape of the hull affected a ship’s handling and sailing ability.