THE MARINERS Jewel; OR, A Pocket Companion for the Ingenious. The Introduction.
EVery Artist knows, That the Art of Navigation consisteth chiefly in Arithmetick; and because Decimal Fractions is so much wanting, and so little used amongst Seamen, it will [Page 2] not be amiss to go through all the Rules thereof, and then shew the use of each Rule in its proper place; so that the ingenious Artist may with a great deal of Facility go through that long and tedious Work, often occasioned by Vulgar Fractions: Not but that I leave every Man to his own fancy, to use that which he in his own Opinion thinks best.
It's true, Vulgar Fractions is unavoidable in some Cases, but in that which is chiefly design'd here, Decimal Fractions may be used in every respect easier and more correct than Vulgar.
CHAP. I. Of Decimal Arithmetick. Notation of Decimals.
A Decimal is that by which is distinguished the Parts of a Unite: And is decreased from Unity to so many Tenth Parts of a Unite. For Unity is divided into ten parts, and every tenth part is called a Prime, every hundredth part is a Second, and every thousand part a third, &c. So as whole Numbers increase by Tens from the Unites place towards the left hand, so Decimals decrease by Tens from the Unites Place towards the right hand, as may appear by the following Example.
1 | 1 | 2 | 3 | 4 | 5 | 6 |
Unity or an Integer. | Primes, or tenth parts. | Seconds, or hundr. parts. | Thirds, or thous. parts. | Fourths, or 10 thous. pts. | Fifths, or 100 thous. pts. | Sixths, or 1000000 pts. |
For 10 Primes is one Unite, and 10 Seconds is one Prime, and 10 Thirds is one Second, and 10 Fourths is one Third, &c. So that every place towards the left, is ten times less than the preceding Figure: For preponing of Cyphers, lessen the following Figure in a tenfold manner; for (.2) is two Primes, or two Tenths of an Integer or Unite, but (.02) is but two Seconds, or two hundreth parts of an Unite. Cyphers after a Decimal neither augment nor diminish the value of the Decimal.
A Decimal is always distinguished from a whole Number by a Prick or Period, as in the Numbers following.
15.3 | 365.3 | .262 | .15 | 1625.32 | 273.2 |
The Numerators are only set down, the Denominators being known by the number of places in the Numerator; for if the Numerator consist but of one place as .1, it is 1/10, if of two, as .22 it is 22/100, if of three, as .235 it is 235/1000, &c.
I shall insist no more upon Notation of Decimals, the foregoing being sufficient, but shall proceed to Addition.
Addition of Decimals.
Addition is the adding of Sums together, and making one intire Sum of two or more; you must take particular care in placing whole Number under whole Number, and Decimal under Decimal, and Unites under Unites, and Tens under Tens.
Suppose 325.7 were to be added to 463.72, I place them one under another in manner following.
To | 463.72 |
Add | 325.7 |
Sum | 789.42 |
Observe always to prick off as many Decimals in the Total, as there is in any of the Sums to be added together.
Example.
To | 365.23 |
Add | 23.20 |
2.03 | |
Sum | 390.46 |
An Example of Addition, as to Timber or Board Measure.
Note, That all intire Quantities, as Feet, Yards, Ells, Ounces, Pounds, and Hundred Weights, are divided into a hundred Parts, therefore the one fourth of any one of these is .25, the half is .50, and the three fourths is .75.
There is three Boards of these following dimensions; what is the Sum of Feet and Parts?
Feet. Parts. | |
The first Board | 246.25 |
The second | 43.50 |
The third | 16.26 |
The Sum | 306.01 |
The Total Sum is 306 Foot, and one hundredth part of a Foot.
Addition of Mony.
A pound Sterling is likewise divided into 100 parts. So .05 is the Decimal for one shilling, and .10 for two shillings, and .15 for three shillings, &c.
Suppose I were to add 3 shillings and 4 pence to 2 shillings and 3 pence.
The Decimal for 3 shill. is | .15 |
The Decimal for 2 shill. is | .10 |
The Decimal for 4 pence is | .0166667 |
The Decimal for 3 pence is | .0125 |
Sum | .2791667 |
It is very hard for the Learner to know the value of this Total, being he is not come the length of Multiplication, which is the only Rule useful in this case. The general Rule is, every Prime or Unite in the Total Sum is 2 shillings value, and every 5 Seconds is one shilling, and the superplus of the Seconds above 5 is so many ten farthings, and the number of Digits in the thirds place is so many farthings: All the rest of the Decimals to the right being of no value. The .2 Primes in the Total is 4 shillings, and the 5 Seconds of the seven is one shilling, and the two remaining is 20 farthings; the 9 Thirds added thereto makes 29 farthings, which is 7 pence farthing: but by reason the number is above 25, the [Page 8] farthing must be cut off. The sum is 5 shill. and 7 pence.
Subtraction of Decimals.
Subtraction is the taking a small sum from or out of a greater, as if you would take 7 l. 5 s. 6 d.out of ten pounds 5 shillings and 6 pence, the remainder must be 3 pounds; or if from 265.2, you would take 153.1, &c.
Example.
From 105.25 Foot of Superficial Measure subtract 97.25.
105.25 | or from | 1035.2 |
97.25 | 973.5 | |
8.00 | 61.7 |
From .876 | From 725.2 |
Take .324 | Take 322.6 |
Remains .552 | Remains 402.6 |
Multiplication of Decimals.
In Multiplication of Decimals, the method is the same as in whole Numbers; only you are to prick off so many Decimals towards the right hand in the Product, as there is Decimals in both Multiplicator and Multiplicand: As suppose I were to multiply 26.75 by 35, there must be two Decimals prickt off in the Product, by reason there is two in the Multiplicand.
Example 1.
Of Mixt Numbers.
Multiplicand | 26.75 |
Multiplicator | 35 |
13375 | |
8025 | |
Product | 936.25 |
Example 2.
246.32 |
24.61 |
24632 |
147792 |
98528 |
49264 |
5061.9352 |
Example 3.
32.6 |
.2 |
6.52 |
Example 4.
6.32753 |
32.64 |
2531012 |
3796518 |
1265506 |
1898259 |
206.5305792 |
Here you see in the fourth Example, there is in the Multiplicator and Multiplicand 7 Decimals; therefore I prick off as many in the Product as there is in both.
Note, That as whole Numbers multiply'd by whole Numbers in [...]ase their value, so Decimals multiply [...] by Decimals decrease their value, by reason the Product is removed farther from Unity, than either of the Decimals given to be multiply'd, as shall appear by the following Example.
.03 | .75 | .32 |
.2 | .04 | .4 |
.006 | .0300 | .128 |
It will sometimes fall out, that there are not so many Figures in the Product as there are Decimals in the Multiplicand and Multiplicator; in such cases you must place Cyphers before the Figures, till they be equal: As you shall see in the following Work.
Examples.
.004 | .42 | 6.5 | .22 |
.002 | .07 | .0002 | .4 |
Prod .000008 | .0294 | .00130 | .088 |
Devision of Decimals.
We shall in the next place proceed to Division of Decimals, which is the most difficult of all the rest; all the difficulty being to find the true value of the Quotient.
The general Rule is, when you have finished your Division, to prick off so many Figures to the right hand, as will make the Decimals in the Divisor equal in number to those in the Dividend, and the Figures to the left are whole Numbers.
Example 1.
Let 64.326 be divided by 32.4.
32.4) | 64.326 | (.19 |
3192 | ||
2766 | ||
174 |
You see in the foregoing work, that there is three Decimals in the Dividend, and one in the Divisor; therefore I make that 1 in the Divisor, and 2 in the Quotient equal to the 3 in the Dividend.
Example 2.
.325) | 53.62321 | (161.19 |
2012 | ||
623 | ||
2982 | ||
571 | ||
246 |
Example 3.
Let 28. be divided by 32.6
In this Example the Divisor 32.6 is greater than 28. the Dividend; in this and all other such cases, you must place a competent number of Cyphers behind the Dividend; and if it be a whole Number, you are to divide, you must prick off the Cyphers from the whole Numbers and then proceed in your Division as you were to divide whole Numbers.
32.6) | 28.00000 | (.8585 |
1920 | ||
2900 | ||
1920 | ||
290 |
Example 4.
To divide a Decimal Fraction by a Decimal Fraction.
Let .900 be divided by .05
.05) | .900 | (18.0 |
40 | ||
00 |
Let .9000 be divided by .0005
.0005) | .9000 | (1800 |
40 | ||
000 |
Would not one think it very strange a Decimal Fraction divided by a Decimal Fraction, should bring forth a whole Number in the Quotient. But I shall make it very plain, that it must be so and no otherways, by a reasonable Demonstration.
By the first Example, you see I divide .900 by .05, and the Quotient I find to be 18.0, that is, because there is three Decimals in the Dividend and one in the Divisor, I make up the number of those in the Dividend, by taking one Decimal from the Quotient, and adding to the 2 in the Divisor.
Now the nature of the Question is thus: I desire to know how many times 5 Seconds in 9 Primes? The Answer is 18. For there is 18 times 5 Seconds in 9 Primes.
If it fall out at any time, that there is not so many Figures in the Quotient, as will make these in the Divisor equal in Number to those in the Dividend; then you must prepone Cyphers before the Quotient to the left hand, as in the following Example.
4) | .13779 | (.03444 |
I shall give you an Example as to the Use and Application of Division of Decimal Fractions, to the end that those who intend to use Decimals may the better understand what they are going about.
Suppose I were to divide 10 shillings amongst 20 Men, the Decimal for 10 shillings is .50; therefore I divide my Decimal .50 by the number of Men 20, and the Quotient will be .025, which is the Decimal equal to 6 pence; for if you multiply .025 by 12, and double the Product, it will be 6 pence.
I could give several Examples of this kind, but the various Examples that will happen in the following work, will in its proper place, give a clearer Demonstration than can be here expected; so I shall refer the Learner to the practice in General, and proceed to my intended work.
CHAP. II. To find the Burthen, and how to Rigg a SHIP.
BEfore we proceed to the Rigging of a Ship, it is proper we should know her Burthen; they having a dependency upon each other. For you can't know how to Rigg a Ship without you know the length and breadth of her, no more than you can know [...] Burthen; but when she is once R [...]d (if according to Art or Proportion) you may know her Burthen without taking the length and breadth: Therefore I say, we shall begin gradually first to know her Burthen, and so go on.
To find the Burthen of any Ship.
Take the length of the Koel, and the breadth of the Beam, from Plank to Plank, and multiply the one by the other, and the Product multiply by the depth of the Hold; and the last Product divide by 100, and the Quotient is the Burthen of a Ship; or, to save the trouble [Page 18] of Division, cut off two Figures to the right hand of the last Product, and the remaining Figures to the left hand is equal to the Ships Burthen.
Example.
The length of a Ships Keel is | 68 Foot. |
The breadth of the Beam is | 26 Foot. |
408 | |
136 | |
1768 | |
The depth is — | 12 |
3536 | |
1768 | |
The Ships Burthen is | 212.16 Tun |
There is several Divisors, as 97. 98. 99. and some use 93. but I am sure that 100 is the most honest and exact Divisor.
The length of the Main-Mast is twice and a half the breadth of the Beam.
Multiply the length of the Main-mast by 8, and divide by 9 for the length of the Fore-mast or Boltspreat.
The true length of the Fore-mast is 8/9 of the Main-mast.
The Misson-mast is ¾ the length of the Fore-mast.
The length of the Main-Yard is the breadth of the Beam, and ½ the length of the Keel.
The Fore-Yard is 8/9 the length of the Main-Yard.
The Sprit-Sail-Yard is 8/9 the length of the Fore-Yard, the Craggick-Yard ⅖ the length of the Main-Yard.
Inches. | Inches. | |
The Fore-top-masts length | 37 thick | 13 |
The Main-top-masts length | 42 | 14 |
The Sprit-sail-yard | 50 thick | 16 |
The Mizon mast | 52 | 17 |
The Mizon-yard | 51 | 26 |
The Fore-Yard | 62 | 20 |
The Bonsprit | 66 | 22 |
The Main-Yard | 74 | 24 |
The Fore-mast | 75 | 25 |
The Main-mast | 84 | 28 |
The Main-Topsail-Yard 11 Inches, and Cross-Jeck-Yard | 36 | 7½ |
The Fore-Topsail-Yard | 31 | 9 |
The Mizon Top-mast | 27 | 8 |
The Main-Top-Gallant-mast | 21 | 8 |
The Mizon-Top-sail Yard | [...] | 6 |
The Fore-Top-Gallant-mast | 19 | 6 |
The Main-top-gallant Yard | 19 | 6 |
The Fore-top-gallant Yard | 16 | 5 |
The Sprit-sail Top-sail Yard | 14 | 4 |
Bolt-Sprit, or Sprit Sail-Yard. | ||||
Mary | Bristol | |||
Inch. | Fad. | Inch. | Fad. | |
Sheats | 3½ | 60 | 3 | 56 |
Horse | 2½ | 4 | 2 | 3½ |
Cluelines | 2½ | 34 | 2 | 32 |
Slings for the Yard | 5 | 4½ | 4½ | 4 |
Halliards | 3 | 18 | 3 | 18 |
Lifts | 3 | 40 | 3 | 36 |
Standing Lifts | 3½ | 6 | 5 | 5 |
Lanyards | 2 | 4 | 1½ | 3 |
Penants for Braces | 3 | 3 | 2½ | 3 |
Falls to them | 2 | 64 | 2 | 60 |
Wouldings | 6 | 45 | 4½ | 31 |
Garnets | 2 | 52 | 2 | 50 |
Buntlines | 2 | 28 | 2 | 26 |
Inch. | Fad. | Inch. | Fad. | |
Shrouds | 2 | 17½ | 2 | 16 |
Lanyards | 1½ | 9 | 1 | 8 |
Penants of Braces | 1½ | 4 | 1½ | 3 |
Falls to them | 1 | 35 | 1 | 32 |
Tyes | 2½ | 2½ | 2 | 2 |
Halliards | 2 | 9½ | 1½ | 8 |
Cluelines | 1½ | 36 | 1½ | 32 |
Penants of the back Stayes | 3½ | 3 | 3 | 3 |
Falls to them | 2 | 9 | 2 | 9 |
Lifts | 1½ | 16 | 1 | 14 |
Parrel Rope | 2 | 2 | 1½ | 2 |
Penants of Tackl. | 6½ | 8 | 5½ | 6 |
Runers of Tackl. | 5 | 24 | 5 | 22 |
Falls of Tackles | 3½ | 60 | 3 | 56 |
Shrouds | 6 | 124 | 5½ | 91 |
Lanyard | 3½ | 50 | 3½ | 35 |
Stay | 10½ | 11 | 8½ | 10½ |
Coller | 9 | 2 | 7½ | 1½ |
Lanyard | 4 | 8 | 3½ | 7 |
Inch. | Fad. | Inch. | Fad. | |
Puttocks | 3 | 46 | 2½ | 40 |
Parrel Rope | 3 | 14 | 3 | 10 |
Clugarnets | 3¼ | 50 | 2½ | 48 |
Bowlines | 3¼ | 50 | 3 | 40 |
Bridles | 3½ | 4 | 3 | 4 |
Penants of Braces | 3 | 6 | 3 | 5 |
Falls to them | 2½ | 50 | 2½ | 40 |
Buntlines | 2 | 78 | 2 | 70 |
Sheets | 4½ | 68 | 4 | 60 |
Tacks | 6 | 30 | 5½ | 28 |
Lifts | 3 | 58 | 3 | 46 |
Lichlines | 2½ | 40 | 2 | 38 |
Geeres | 5½ | 70 | 5 | 64 |
Leg of the Catarp. | 2 | 18 | 1½ | 16 |
Falls to them | 2 | 10 | 1½ | 8 |
Stopers of the top-sail Sheats | 5 | 2 | 4 | 2½ |
Tye, | 0 | 0 | 5½ | 16 |
Halliards | 0 | 0 | 3 | 50 |
Inch. | Fad. | Inch. | Fad. | |
Pen. of top-Rope | 7 | 12 | 5 | 12 |
Falls for the same | 4 | 40 | 3½ | 38 |
Shrouds | 4 | 52 | 3 | 52 |
Lanyards | 2 | 16 | 2 | 12 |
Stay | 4½ | 14 | 4 | 14 |
Lanyard | 3 | 10 | 2½ | 10 |
Lifts | 2 | 50 | 2 | 50 |
Puttocks | 2 | 24 | 2 | 24 |
Tye | 6 | 7½ | 5 | 7 |
Runner | 4½ | 9½ | 4 | 9 |
Hallyards | 3 | 42 | 2½ | 35 |
Bowlines | 2 | 60 | 2 | 50 |
Bridles | 2 | 10 | 2 | 10 |
Clulines | 3 | 70 | 2½ | 65 |
Penant of Tackles | 3½ | 6 | 3½ | 5 |
Falls to them | 2 | 30 | 2 | 30 |
Sheats | 5½ | 46 | 4½ | 40 |
Parrel-Rope | 3½ | 6 | 3 | 6 |
Lichlines | 2 | 14 | 1½ | 12 |
Braces | 2 | 66 | 2 | 50 |
Pennant | 2½ | 5 | 2½ | 5 |
Buntlines | 2 | 34 | 1½ | 30 |
Stand. Back-stays | 4 | 64 | 3½ | 62 |
Lanyards | 2½ | 10 | 2 | 8 |
Inch. | Fad. | Inch. | Fad. | |
Stay | 1½ | 18 | 1½ | 15 |
Tye | 2½ | 3 | 2 | 2½ |
Halliards | 1½ | 30 | 1½ | 30 |
Lifts | 1 | 20 | 1 | 20 |
Braces | 1 | 60 | 1 | 50 |
Clulines | 1½ | 60 | 1½ | 50 |
Bowlines | 1 | 60 | 1 | 50 |
Bridles | 1 | 5 | 1 | 5 |
Parrel Rope | 1½ | 2 | 1½ | 2 |
Shrouds | 2 | 15 | ||
Laniards | 1 | 6 |
Penant of Tackle | 7 | 8 | 6 | 6 |
Runners of tackle | 5 | 26 | 5 | 24 |
Falls of Tackle | 3½ | 60 | 3½ | 56 |
Lifts | 3 | 68 | 3 | 54 |
Shrouds | 7 | 160 | 6 | 114 |
Lanyards | 4 | 56 | 3½ | 42 |
Stay | 12 | 16 | 11½ | 15 |
Inch. | Fad. | Inch. | Fad. | |
Coller | 10 | 7 | 10 | 5 |
Lanyards | 4 | 10 | 4 | 10 |
Penant of Garnet | 5½ | 10 | 5 | 9 |
Guy | 5 | 9 | 4½ | 8 |
Fall of the Garnet | 3½ | 37 | 3½ | 37 |
Tacks, taper, Laid | 6½ | 30 | 6 | 28 |
Sheats | 4½ | 70 | 4½ | 64 |
Clugarnets | 3 | 56 | 2½ | 54 |
Bowlines | 3 | 40 | 3 | 40 |
Bridles | 3 | 8 | 3 | 8 |
Penants of Braces | 3 | 6 | 3 | 6 |
Falls | 2⅕ | 60 | 2½ | 54 |
Geares | 6 | 80 | 4½ | 44 |
Parrel Rope | 4½ | 15 | 4 | 12 |
Lichlines | 2½ | 46 | 2 | 40 |
Buntlines | 2 | 88 | 2 | 80 |
Puttocks | 3 | 48 | 2½ | 40 |
Legs of Catharp. | 2 | 20 | 2 | 10 |
Falls to them | 1½ | 19 | 1 | 16 |
Stop. of top Sheats | 5 | 3 | 4½ | 3 |
Tackles to set up Shrouds | 3 | 20 | 2½ | 18 |
Busing Tackles | 2½ | 10 | 2 | 10 |
Tyes | 0 | 0 | 6 | 18 |
Hallyards | 0 | 0 | 4 | 56 |
Penant of Tackle | 3½ | 6 | 3½ | 6 |
Falls to them | 2 | 34 | 2 | 34 |
Shrouds | 4 | 75 | 3½ | 56 |
Lanyards | 2 | 30 | 2 | 16 |
Stand. Back-stays | 4 | 72 | 4 | 66 |
Lanyards | 2½ | 12 | 2 | 8 |
Stay | 5 | 20 | 4½ | 18 |
Lanyards | 3 | 10 | 2½ | 10 |
Lifts | 2 | 64 | 2 | 60 |
Braces | 2 | 68 | 2 | 52 |
Penant | 2½ | 5 | 2½ | 5 |
Bowlines | 3½ | 60 | 3 | 42 |
Bridles | 3 | 10 | 2½ | 10 |
Pen. of Top-rope | 7 | 13 | 5 | 12 |
Falls to them | 4 | 43 | 3½ | 40 |
Clulines | 3 | 76 | 3 | 70 |
Tye | 6 | 8½ | 5 | 7½ |
Runners | 4½ | 90 | 4 | 18 |
Hallyards | 3 | 50 | 3 | 47 |
Lichlines | 2 | 14 | 2 | 12 |
Buntlines | 2 | 38 | 2 | 32 |
Puttock | 2½ | 34 | 2½ | 32 |
Parrel Rope | 3½ | 6 | 3 | 5 |
Sheats | 6 | 50 | 5 | 50 |
Stay | 2 | 20 | 1½ | 18 |
Braces | 1 | 64 | 1 | 58 |
Bowlines | 1 | 64 | 1 | 60 |
Bridles | 1 | 5 | 1 | 5 |
Parrel Rope | 1½ | 2 | 1 | 2 |
Tye | 2½ | 3½ | 2 | 3 |
Hallyards | 1½ | 34 | 1½ | 34 |
Clulines | 1½ | 64 | 1½ | 54 |
Lifts | 1 | 22 | 1 | 22 |
Shrouds | 2 | 14 | 0 | 00 |
Lanyards | 1 | 16 | 0 | 00 |
Inch. | Fad. | Inch. | Fad. | |
Shrouds | 4 | 62 | 4 | 56 |
Lanyards | 2 | 16 | 2 | 16 |
Stay | 4 | 11½ | 4 | 10 |
Lanyards | 2½ | 3 | 2 | 3 |
Hallyards | 3½ | 35 | 3 | 35 |
Parrel Rope | 3½ | 3 | 3 | 3 |
Truss | 2½ | 18 | 2 | 17 |
Sheat | 3 | 20 | 3 | 18 |
Tack | 3½ | 3 | 3 | 3 |
Bowlines | 2½ | 16 | 2 | 10 |
Brayles | 2 | 100 | 1¼ | 90 |
Lifts | 2½ | 35 | 2½ | 32 |
Braces | 2 | 36 | 1½ | 28 |
Standing Lifts | 2½ | 6 | 2 | 6 |
Lanyards | 1½ | 4 | 1 | 4 |
Inch. | Fad. | Inch. | Fad. | |
Shrouds | 2 | 28 | 2 | 18 |
Lanyards | 1½ | 9 | 1 | 9 |
Puttocks | 2½ | 12 | 1½ | 8 |
Braces | 1 | 34 | 1 | 28 |
Bowlines | 1½ | 34 | 1 | 28 |
Bridles | 1 | 5 | 1 | 5 |
Tye | 3 | 4 | 2½ | 3½ |
Hallyards | 2 | 18 | 1½ | 15 |
Lifts | 1 | 24 | 1 | 20 |
Parrel Rope | 1½ | 2 | 1½ | 2 |
Stay | 2½ | 8 | 2 | 7 |
Clulines | 1½ | 32 | 1 | 30 |
Cat-rope | 4½ | 50 | 3½ | 40 |
Penant of fishhook Rope. | 6 | 7 | 5 | 7 |
Falls of the same | 3½ | 30 | 3 | 30 |
Stop. at the Bow | 6 | 28 | 4½ | 18 |
Shank Panter | 5 | 18 | 4½ | 15 |
Stop. at the Bits | 9 | 8 | 8 | 8 |
Lanyards | 3 | 12 | 3 | 12 |
Viall. | 9 | 30 | 7½ | 28 |
Pen. of wind. tack. | 8 | 10 | 8 | 9 |
Falls of the same | 5 | 45 | 5 | 45 |
By-Ropes | 6 | 88 | 5½ | 80 |
Stream-Ancker Buoy-Ropes | 4 | 30 | 4 | 30 |
Boat rope & Slings | 7 | 37 | 5½ | 35 |
Guest rope to it | 4 | 32 | 3½ | 30 |
Pinnis Rope and Slings | 6 | 36 | 0 | 00 |
Guest rope to it | 4 | 32 | 0 | 00 |
Two pair of Boat-slings. | 5 | 10 | 5 | 10 |
2 pair of Hogsets | 4 | 8 | 4 | 8 |
Ordinance Slings | 7 | 6 | 7 | 6 |
For Robins & Ear. | 1½ | 260 | 1½ | 200 |
And Clu Seisings for one compleat Suit of Sails | 1 | 204 | 1 | 300 |
SEA-STORE. | 1 Rank. | 2 Rank. | 3 Rank. | 4 Rank. | 5 Rank. | 6 Rank. |
Lasing Line | 6 Coile | 4 Coile | 2 Coile | 1 Coile | 1 Coile | 1 Coile |
Netting Rope | 3 C. | 2 C. | 1 C. | 1 C. | 1 C. | 0 |
Port Ropes | 2 C. | 1 C. | 1 C. | 0 | 0 | 0 |
Junck of 15 Inches | 60 Fad. | 50 Fad. | 40 Fad. | 30 Fad. | 20 Fad. | 12 Fad. |
Tard Line | 40 ll. | 24 ll. | 18 ll. | 12 ll. | 6 ll. | 6 ll. |
Tard Marline | 56 ll. | 46 ll. | 28 ll. | 18 ll. | 12 ll. | 8 ll. |
White Twine | 28 ll. | 20 ll. | 16 ll. | 12 ll. | 8 ll. | 6 ll. |
Dipselines | 3 | 3 | 3 | 2 | 2 | 2 |
White Lines | 30 | 20 | 12 | 8 | 6 | 4 |
White Marline | 28 | 18 | 12 | 8 | 6 | 4 |
Catt hook | 3 | 3 | 3 | 3 | 3 | 3 |
Fish hook | 3 | 2 | 2 | 2 | 2 | 2 |
Boat hooks | 8 | 6 | 6 | 4 | 3 | 3 |
Fidds of Iron | 6 | 6 | 6 | 4 | 4 | 3 |
Fid Hammers | 2 | 2 | 2 | 2 | 1 | 1 |
Marline Speakes | 24 | 18 | 12 | 8 | 6 | 6 |
Crows of Iron | 2 | 2 | 2 | 1 | 1 | 1 |
Hatchits | 8 | 6 | 4 | 3 | 2 | 2 |
Gromits and Staples | 12 duz. p. | 8 duz. p. | 6 duz. p. | 4 duz. p. | 3 duz. p. | 2 duz. p. |
Sail Needles | 8 duz. | 6 duz. | 4 duz. | 3 duz. | 2 duz. | 18 |
Bilb. with 7 Shack. | 1 pair | 1 pair | 1 pair | 1 pair | 1 pair | 1 pair |
Tackle Hooks | 8 | 6 | 6 | 4 | 3 | 2 |
Can hocks | 2 pair | 2 pair | 2 pair | 2 pair | 1 pair | 1 pair |
Puttocks Plates | 8 | 6 | 6 | 4 | 3 | 2 |
Hanging Locks | 6 | 4 | 4 | 3 | 2 | 2 |
Nails for Hammacks, so many times 4 as Ham. | ||||||
Fire Grap-nails with Chaines | 4 | 3 | 2 | 2 | 2 | 1 |
Watch-Bell of Brass | 1 | 1 | 1 | 1 | 1 | 1 |
Long-boat | 1 | 1 | 1 | 1 | 1 | 1 |
Pinnys | 1 | 1 | 1 | 1 | 1 | 1 |
Skiff | 1 | 1 | 1 | 0 | 0 | 0 |
Boat Oars | 8 duz. | 6 duz. | 5 duz. | 3 duz. | 2 duz. | 2 duz. |
Sounding Leads | 8 | 6 | 6 | 5 | 4 | 4 |
Dip-Sea Leads | 3 | 3 | 3 | 3 | 2 | 2 |
Compasses | 18 | 12 | 10 | 8 | 6 | 6 |
Running Glasses | 24 | 18 | 12 | 8 | 6 | 6 |
Steal-Shod-shovels | 36 | 24 | 18 | 16 | 12 | 10 |
Scopes | 12 | 8 | 6 | 4 | 3 | 3 |
Bouls | 6 | 6 | 4 | 2 | 2 | 2 |
Wooden Buckets | 24 | 18 | 12 | 12 | 8 | 6 |
Leathern Buckets | 36 | 24 | 18 | 12 | 8 | 6 |
Ballas, Baskets | 36 | 24 | 18 | 12 | 8 | 8 |
Tarr | 3 Bar. | 3 Bar. | 2 Bar. | 1½ Bar. | 1 Bar. | half Bar. |
Ipswich Canvas | 12 Bolts | 8 Bolts | 6 Bolts | 4 Bolts | 3 Bolts | 2 Bolts |
Hammacks | 600 | 400 | 300 | 180 | 100 | 60 |
Waste cloath of Red Kersey | 1 Sute | 1 Sute | 0 | 0 | 0 | 0 |
Waste cloath of Red Cotton | 0 | 0 | 1 Sute | 1 Sute | 1 Sute | 1 Sute |
Spare Locks | 8 duz. | 6 duz. | 4 duz. | 3 duz. | 2 duz. | 1 duz. |
Dead mens Eyes | 2 duz. | 18 | 1 d. | 1 d. | 9 | 6 |
Can Boys Iron bound | 4 | 3 | 3 | 3 | 2 | 2 |
Hand-speaks | 3 duz. | 30 | 2 d. | 18 | 1 d. | 1 d. |
Spars for Boathook-staves. | 6 | 6 | 4 | 4 | 3 | 2 |
Flays of 20 breadth | 4 | 0 | 0 | 0 | 0 | 0 |
Flays of 18 | 0 | 2 | 0 | 0 | 0 | 0 |
Flays of 16 | 0 | 0 | 2 | 0 | 0 | 0 |
Flays of 14 | 0 | 0 | 0 | 1 | 1 | 0 |
Flays of 12 | 0 | 2 | 0 | 0 | 0 | 0 |
Flays of 10 | 0 | 0 | 0 | 0 | 0 | 0 |
Flays of 8 | 0 | 0 | 0 | 0 | 0 | 0 |
Flays of 6 | 0 | 0 | 0 | 0 | 0 | 0 |
Standards | 2 | 0 | 0 | 0 | 0 | 0 |
Ensigns 20 bread. | 4 | 0 | 0 | 0 | 0 | 0 |
Ensigns 18 | 0 | 3 | 0 | 0 | 0 | 0 |
Ensigns 16 | 0 | 0 | 3 | 0 | 0 | 0 |
Ensigns 14 | 0 | 0 | 0 | 3 | 0 | 0 |
Ensigns 12 | 0 | 0 | 0 | 0 | 2 | 2 |
Sprit-sail Courses | 1 | 1 | 1 | 1 | 1 | 1 |
Sprits-sail Bunnits | 1 | 1 | 1 | 1 | 1 | 1 |
Sprit-sail Top-sail | 1 | 1 | 1 | 1 | 1 | 1 |
Fore-Courses | 2 | 2 | 2 | 2 | 2 | 2 |
Fore-Bunnits | 1 | 1 | 1 | 1 | 1 | 1 |
Fore Top-sail | 2 | 2 | 2 | 2 | 2 | 2 |
Fore Top-gall. Sail | 1 | 1 | 1 | 1 | 1 | 1 |
Main Courses | 2 | 2 | 2 | 2 | 2 | 2 |
Main Bunnits | 1 | 1 | 1 | 1 | 1 | 1 |
Main Top-sails | 2 | 2 | 2 | 2 | 2 | 2 |
Main Mop-gallant | 1 | 1 | 1 | 1 | 1 | 1 |
Mizon | 1 | 1 | 1 | 1 | 1 | 1 |
Mizon Bunnit | 1 | 1 | 1 | 1 | 1 | 1 |
Mizon Top-sail | 1 | 1 | 1 | 1 | 1 | 1 |
To find the Lengths and Thickness of Masts and Yards by the Pen.
We shall begin with the Main-mast of a Ship, whose length of Keel is 73. Foot, breadth of the Beam 28.5 Foot, the depth of the Hold 12. Foot.
The only Rule to find the length of the Main-mast, is to add the breadth of the Beam and the depth of the Hold together, and divide the Product by 1.5, and the Quotient is the Yards in length; the Main-mast of the Ship must be,
Example.
The breadth of the Beam | 28.5 |
The depth of the Hold | 12.0 |
1.5) | 40.5 | (27 |
105 | ||
000 |
The length of the Main-mast sought is 27 Yards or 81 Foot.
Those that are not very expert at Division, may make use of the following Multiplicator, which will perform the fame as the Division does, and will be a great deal easier for the Learner, if he do but observe to prick off the Decimals to the Right hand, as is directed in the foregoing Work.
Example.
The Sum of the breadth and depth is 40.5, the which I multiply by the proper Multiplicator .6666, and the Product is 26.99730 which is 26 yard, and 99 hundredth parts of a yard, which wants not one second to make it 28 yards, equal to the former Work.
To find the thickness of the foregoing Mast or any other mast of the Ship, you are to take the length of the Mast mentioned in the foregoing Table, and say by the Rule of Proportion,
If 84 give 28 (as in the Table) what will 81 give.
84 | 28 | 81 |
28 | ||
224 | ||
2268 | (27 Foot. | |
588 | ||
000 |
Here we find the thickness of the Main-mast of the propounded Ship to be 27 foot; now to find the thickness or length of the other Masts of the same Ship.
If for the Thickness of any of the Masts, you must it work by the foregoing Rule, taking out the length of the Mast you require from the foregoing Table; and as the length there requires so much, what will the length found require?
You must find your lengths of the several Masts and Yards by the Rule before directed.
Suppose I was to find the length of the Fore-mast, having the length of the Main-mast; I multiply the length of the Main-mast by 8, and divides the Product by 9, and the Quotient is the length of the Fore-mast required.
As for Example, the length of my Main-mast is 81 Foot, the which I multiply by 8, and divides by 9, and the Quotient is 72, the length of the Fore-mast sought.
Now, if you would have the length of the Mizon-mast, being that it is ¾ the length of the Fore-mast; you must multiply the length of the Fore-mast by 3, and divide the Product by 4, and the Quotient is the length of the Mizon-mast; the Fore-Yard is in proportion to the Main-yard, as the Fore-mast is in proportion to the Main-mast.
Thus we have inserted most material things as to a Ships Rigging: but because the way here inserted will be troublesome and tedious, unless to some Artists who take pleasure therein, we shall set down a plain and easy way, by which any Ship may be Rigg'd with a great deal of ease: And shall be as follows.
Rigging for the Fore-mast.
⅔ The length of the Mast is the length of the Shrouds.
⅓ the length of Shrouds is the length of the Penants.
The length of the Mast is the length of the Stay.
Thrice the length of the Shrouds is the length of the Lifts.
Three times the length of the Shrouds is the length of the Clugarnets.
Twice the length of the Mast from the Deck to the Cross-trees, is the length of the Buntlines.
Twice the length of the Main-yard is the length of the Leech-lines.
Twice the length of the Main-yard for the Braces.
Two and half the length of the Main-yard for the Fore-Sheets.
Four times the length of the Mast is the length of the Jeers.
Twice the length of the Main-yard is the length of the Buntlines; and the same length for the Top-sail Sheet.
Rigging for the Main-mast.
⅓ the length of the Shrouds is the length of the Penants.
⅔ the length of the Mast is the length of the Shrouds.
The length of the Mast is the length of the Stay.
Four times the length of the Mast from the Deck to the cross Trees, is the length of the Jeers.
Three times the length of the Main-yard, is the length of the Lifts.
Twice and ½ the length of the Main-yard is the length of the Braces.
The length of the Main-yard is the length of the Bowlines.
Twice ½ the length of the Main-yard, is the length of the Clugarnet.
Buntlines must be 4 times the length of the Mast for Falls and Legs.
Twice the length of the Main-yard is the length of the Leechlines.
The length of the main Yard is the length of the Tacks; Runners must be the same length.
Twice ½ the length of the main Yard is the length of the Sheets.
Twice the length of the mast is the length of the Knaveline.
Twice the length of the main Yard is the length of the Topsail Sheets.
Rigging for the Mizon Mast.
Four times the length of the mast from the Deck to the Cross Trees, is the length of the Hallyards.
Twice the length of the mast from the Deck to the Cross Trees, is the length of the Braytles.
The length of the Yard is the length of the Sheet.
The Tack about 3 Fathoms.
The length of the mast is the length of the Shrouds.
⅓ Of the Shrouds is the length of the Penants.
The length of the main Yard is the length of the Burten Fall.
The length of the mast is the length of the Stay.
The length of the Cross Jack Yard is the length of the Bowlines.
Rigging for the Fore-Top Mast.
One third, the length of the Shrouds is the length of the Penants.
Once the length of the mast is the length of Shrouds.
Once the length of the Fore Yard is the length of the Burtons.
Twice and ½ the length of the Fore Yard is the length of the Lifts.
Thrice the length of the Yard is the length of the Cluline.
Twice and ½ the length of the Fore Yard is the length of the Braces.
Twice and ½ the length of the Fore Yard is the length of the Bowlines.
Twice the length of the Fore Topsail Yard is the length of the Leechline.
Once the length of the Top mast is the length of the Tye.
Once and ½ the length of the Fore Yard is the length of the Runner.
Thrice the length of the Fore Yard is the length of the Hallyards.
Once and ⅓ the length of the mast is the length of the Stay.
Once and ½ the length of the Fore Yard is the length of the back Stays.
Twice the length of the Fore Yard is the length of the Buntlines.
Rigging for the Main-Top-Mast.
⅓ The length of the Shrouds is the length of the Pennants.
Once the length of the mast is the length of the Shrouds.
Once and ½ the length of the mast is the length of the Stay.
Twice and ⅓ the length of the Yard is the length of the Braces.
⅓ the length of the main Yard is the length of the Burtons.
Twice and ½ the length of the main Yard is the length of the Lifts.
Twice the length of the main Yard is the length of the Buntlines.
Thrice the length of the main Yard is the length of the Clulines.
Once the length of the Top mast Shroud is the length of the Tye.
Once the length of the main Yard is the length of the Runners.
Three times the length of the main Yard is the length of the Halliards.
Two times the length of the Topsail Yard, is the length of the Leechlines.
Two times the length from the Deck to the Hounds, is the length of the Buntlines.
One time the length of the main Shrouds, is the length of the Top rope.
Twice the length of the Main mast, is the length of the Top Rope-Fall.
One third of the Top-Sail Yard, is the length of the Penants for Braces.
Once and ½ the length of the Yard is the length of the Back-Stays.
Rigging for the Mizon-Top-Mast.
⅓ Of the Shrouds is the length of the Pennants.
The length of the Mast from the Cross-Trees to the Heel, is the length of the Shrouds.
Once and ½ the length of the Mast is the length of the Stay.
Three times the length of the Mast is the length of the Lifts.
Once and ⅓ the length of the Mizon-Yard, is the length of the Braces.
Once and ½ the length of the Cross Jack Yard, is the length of the Bowlines.
Twice and ½ the length of the Cross Jack Yard, is the length of the Cross Jack Braces.
Twice and ½ the length of the Cross Jack Yard is the length of the Sheets.
Twice and ½ the length of the Cross Jack Yard is the length of the Clulines.
Once and ⅔ the length of the Mizon Yard is the length of the Hallyards.
Once the length of the Top-mast, from the Cross Trees to the Heel, is the length of the Tye.
Rigging for the Fore-Top-Gallant.
Once the length of the Mast from the Cross Trees to the Feed-hole, is the length of the Shrouds.
Once and ½ the length of the Fore Yard is the length of the Stay.
Three times the length of the Mast is the length of the Lifts.
Twice and ½ the length of the Fore-Yard is the length of the Braces.
Twice and ½ the length of the Fore Yard is the length of the Bowlines.
Twice and ½ the length of the Fore-Yard is the length of the Hallyards.
Rigging for the Main-Top-Gallant-Mast.
Once the length of the Mast from the Cross Trees to the Heel, is the length of the Shrouds.
Once and ½ the length of the Main Yard is the length of the Stay.
Thrice the length of the Top-gallant Mast is the length of the Lifts.
Twice the length of the main Yard is the length of the Braces.
Twice the length of the main Yard is the length of the Bowlines.
The length of the mast is the length of the Tye.
Twice and ½ the length of the main Yard is the length of the Hallyards.
Twice the length of the main Yard is the length of the Top Rope.
For the Sprit-Sail Top-Mast.
The length of the Mast from the Heel to the Cross Trees, is the length of the Shrouds.
Thrice the length of the Mast is the length of the Hallyards.
Thrice the length of the Mast is the length of the Lifts.
Twice the length of the Spritsail Yard is the length of the Clulines.
Twice the length of the Spritsail Yard is the length of the Braces.
Twice the length of the Topsail Yard is the length of the Cranlines.