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      A (Kind of) Philosophical Introduction 
      Our whole life is built on certain presumptions. Some of these ideas 
      are facts that are easy to prove, i.e., the law of gravity. When they 
      can’t be proved, they are called axioms.    In the 
      mathematics we learned in secondary school, the axiom is that the shortest 
      (and fastest) connection between two points is a straight line. This may 
      be true on earth but it seems to be different in space travel.   
      Here is an axiom for boat builders: For a Double-Ender, the best 
      compromise between Overall Length and Beam is expressed by the ratio
      LOA/Bm = 4/1. This does not mean that the ratios 
      3½ to 1, or 4½ to 1, are no good. It does mean 
      that with the 3½ to 1 ratio the hull is a bit more stable 
      and slower. With the ratio 4½ to 1 the boat is faster, 
      but also more tender. It is the designer who makes the decision in the 
      trade-off.   
      With everything in life, we start out as amateurs. We try to become as 
      professional as possible as soon as possible. The process is different for 
      every individual.     It is during this process that 
      we form our opinions. This is the reason so many sometimes-bewilderingly 
      different suggestions turn up on the net when a newbie asks where and how 
      to start. Recently, one person even called that question: “Opening a can 
      of worms.” Also, everybody believes that his/her way is the best. That is 
      good. Mohammed Ali would never have been world champion had he even for 
      only one moment thought that he was second best.  
      In 1975, to work off frustrations, I chose boat building as a hobby. 
      After having built a couple of hard chined boats, it dawned on me that the 
      shape of that type of hull is based on some very simple mathematics. That 
      was also the moment that I found out how bad my memory of mathematics had 
      become.   
      I live in a suburb of Montreal, Canada. I have relatives in Toronto, 
      Ottawa, and Halifax. I went to all the public libraries of these cities 
      and scanned all the sections #623 on building boats. During those years, I 
      read all the magazines that are published on the subject in the USA, 
      England, and Holland. I collected a substantial library of my own.
       I 
      suffered from a near terminal case of Boat Building Book and Magazine 
      addiction. It lasted 12 years.  After I had overcome that, only one 
      remark had pointed me in the right direction. The late John Gardner, in 
      The Dory Book, makes that remark when he states, “All Dories are developed 
      from Double-Enders. Their sheer line is part of a circle arc.”  In 
      his book, on page 43, he calls that “a natural curve.”   In 
      addition, there was another piece of advice that has saved me a fortune in 
      money, time, and effort. It allowed me to pick up a lot of experience 
      without it costing me an arm and a leg. Harold “Dynamite” Payson gives 
      this advice in one of his books. Abbreviated, he states, “If you build a 
      model first, you don’t have to buy the wood twice.” It made me laugh. 
      Especially later, after the many times I goofed, I was laughing all the 
      way to the bank.   
      A to-scale model can be built on the kitchen table in wintertime. No 
      more boat-builders hibernation period during that time. As a 
      carport-boat-building amateur, I had the too-long, North-American 
      cold season licked! I had gained a head start on the too-short 
      summertime. 
      Matryoshkas 
      Matryoshkas are boxes mostly in the form of a (Russian) doll. Take off 
      the cover; a new doll of exactly the same shape is fitted in. This goes on 
      until the last doll has become too small to hollow out further.  The 
      principle is applicable to the design of hard-chined hulls with three 
      exceptions: 
           1.     The new hull has a 
      (slight) change in form fore, or aft, or both. 
     2.    The reduced form is given a new 
      name. 
     3.    The width of the original sheer 
      line does not change. 
      Figure 1-1 shows the Plan view and the Body view of a Double Ender. The 
      ratio Overall Length to Beam is LOA/Bm = 4/1. Because 
      fore and aft are mirror image identical, it is one of the easiest hulls to 
      build. 
        
      Fig. 1 - 1 Plan and Body view of a 
      Double-Ender 
      DORY 
      In figure 1-2, only one thing changed in the drawing: A 
      raked, triangular transom board, called the “tombstone”, replaces the 
      curved, difficult-to-make-varying-crosscut-angled stern stem. The 
      tombstone has a strong camber. For the builder, that simplification was a 
      big time saver. For the fisherman, it meant additional safety. With an oar 
      in the sculling hole, the boat obtains a rudder. What is more important, 
      if one oar is lost or broken, it is still possible to scull back to the 
      mother ship, or, for the inshore fisherman, back to land instead of 
      helplessly drifting out with the wrong current. Little things like that 
      sometimes make the difference between life and death on a wide ocean. 
        
      Fig. 1 - 2 
      Tombstone replaces stern stem 
      The apex of the V-board starts where the heel of the stem 
      and the chine lines came together. The only change is that the sheer lines 
      become a bit shorter. The Overall Length is now: LOA =15¼ ft. 
      The modification changed a DOUBLE-ENDER into DORY. 
      SKIFF 
        
      Fig. 1 - 3 From 
      Double-Ender to Skiff 
      
       Figure 
      1-3A is the Plan and Body view of the original Double-Ender. In figure 
      1-3B one quarter of the Overall Length (¼ LOA) is lopped. 
      The hole is closed up with a (vertical) stern board called transom. In 
      this hull the ratio Overall Length to Beam is LOA/Bm = 3/1. 
      Although it has not moved, Beam is no longer in the middle 
      of the hull. It is located at 2/3 of the Overall Length. 
      Again, only the sheer lines are shortened. Subsequently, the length 
      Overall became LOA = 12 feet. The boat type is now called 
      a 12' Skiff. 
      A raked transom board improves the beauty of the lines and 
      increases the Overall Length. For the untrained eye, it also becomes more 
      difficult to recognize the origin of the lines. Note the decreased bottom 
      rocker aft and the transom camber in the drawing. 
      PUNT 
        
      Fig. 1 - 4 From 
      Skiff to Punt 
      
       In 
      figure 1-4B, a bow board replaces the bow stem of the Skiff of figure 
      1-4A. The name Skiff becomes Punt.  
      In figure 1-4B, the locations of the station lines of the original 
      Double-Ender are placed above the figure in the drawing. The reason for 
      this is that the Punt does not have to be constructed as shown. The type 
      of hull allows for great freedom in Overall Length as long as you stay 
      in the confinement of, and use the original sheer lines of the 
      Double-Ender. The raking transom board is placed anywhere between 
      stations #12 and #15. The pleasing lines of the roomy Punt in the picture 
      were obtained by making the ratios between the width of the sheers of bow 
      board, Beam, and transom board:  
      Bb / Beam / Tb = 18 / 48 / 30 = 3 / 8 / 5. 
      DINGHY 
      Shorten a Punt fore end further. Now it is called a
      Dinghy. The 10-ft. M-Dinghy, an English design, is a 
      typical example. It is built and sailed all over the world. 
      PRAM 
      If a Dinghy is shortened so far that the bow board is 
      against the mast bench, and the Overall Length does not amount to more 
      than eight feet, the Dinghy is called a Pram.  
      It is difficult to say exactly at what point a Dinghy changes over to a 
      Pram. Both types are mainly used as service tenders for bigger boats and 
      as sail trainers in yacht clubs.https:// 
      CONCLUSION 
      
       The 
      great number of different types of small craft names can sometimes 
      bewilder and frighten an aspiring amateur. Once you get the drift of how 
      each type of boat is put together, procrastination about which to build is 
      easy to overcome. Take heart: If you can build a simple Double-Ender, you 
      can build them all. And this is only the beginning. In the next posting 
      more simplifications will make designing and building your own boat even 
      easier. Find out how to draw the first line mathematically correctly 
      without the use of those */*&*/* offset tables. 
      Sheers and Chines, Barend  |