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the voyage ends, at 3 per cent: For what sum must he take out a policy to cover the whole round? Ans. $5652.01664.
10. A merchant in London insures 1011/. 18s. 8d. to Hamburgh at 24 per cent. thence to Surinam at 7 per cent. thence to Liverpool at 5 per cent. and thence to Boston, where the voyage ceases, at 4 per cent. Required the amount that will cover this adventure all round, with 2 per cent in case of loss? Ans. 1250/.
VI. When a sum is adventured from one port to another as in the last case, either at the same, or different risks, to find the rate per cent. of premium for the voyage round, tantemount to the several given rates per cent.
RULE. Find a by the last: then a
11. Take the amount of the 9 quest. $5652.01664- =a. Sum adventured,
5652.01664) 652.01664×100. Tantemount to all the risks, = 11.536 per cent. VII. If a policy be taken out for a given sum to cover a certain adventure from one port to another, or to several ports, at equal premiums for each risk, to find what that equal premi
12. A. in Alexandria, adventures $4805 to Leith; from thence to Jamaica; from thence home to cover which he took out a policy for $5604.3125, and the premium was equal from one place to the other: What was the rate per cent of premium? Ans. 5 per cent. VIII. When a ship or an adventure is insured out and home at one risk, at a given rate per cent. and that the voyage terminates short of what was at first intended, to find what proportion the underwriters must receive per cent.
RULE 1.-If half the voyage is performed, it must be considered as at two equal risks, if one third at three, if one fourth at four, &c. and by case II. find a amount to be insured. 2. Find by case VII. what the underwriters must receive
13. Admit that a merchant of Amsterdam covers 20000 guilders, at 6 per cent. to Bourdeaux and back again, but the voyage ending there: It is required to find what the insurer must receive per cent? Ans. 3 guild. 14.88 pennings per cent.
Average signifies a mean proportion of loss between the owners of goods thrown overboard in a storm in order to preserve the remainder, with the ship and lives of the men.
Ships on their voyages are exposed to storms, and often saved from perishing by cutting some of the masts, &c. away, or by casting goods overboard to lighten them, this measure is therefore allowed, and is justified by law and custom, in cases of imminent danger.
However, to make these acts legal, the three following essential cases ought to concur.
1st. The ship must be in evident hazard of perishing with the cargo and crew.
2d. The resolution the commander takes on this melancholy occasion, should be in consequence of a consultation held with his officers and sailors.
3d. That the ship 'and cargo, or the part of them that are saved, has been in consequence of the means used, done with that sole view.
Hence, it must be concluded, that all the expence and sacrifices, which are so made to prevent a total loss of ship and cargo, ought to be equally borne, by the ship and her remaining cargo.
1. A schooner from Charleston, bound to New-York, lost her masts by stress of weather, in consequence of which, the master and crew were under the necessity to run her ashore on Cape Charles in order to preserve their lives and the cargo, the expence and damage sustained on this occasion was $525.
Form of average account.
$2400 If 7500: 525
Insured by N. Y. Ins. Com. 3360 3360x.07=235.50
2. The ship Maria Adelaide, from London to Philadelphia, meeting with such a storm at sea, that the officers and men found it impossible to save her without throwing part of the cargo overboard, which they did as follows, viz. 20 chests marked TS. No. 1 to 20, containing muskets; 25 casks, marked AW. No. 1 to 25, containing shot; and 14 trunks, marked SB. No. 1
to 14, containing books, &c. thus lightening her and the storm abating they after a few weeks arrived at the destined port, where an average bill was made in order to adjust the loss, and was stated thus:
Average accruing to the ship Maria Adelaide, from London to Philadelphia, for goods thrown overboard for the preservation of the ship, freight, remainder of the cargo, and lives of the crew.
T. S. No. 1 to 100. 100 chests, containing 6000 muskets, at $3 per musket.
A. W. No. 1 to 25. containing 25 tons of shot at $140 per ton.
S. B. No. 1 to 14 containing books, &c, amounting to
$18000 0 0
3500 0 0
J. A. No. 1 to 86. 86 packages dry goods
W. M. No. 1 to 51. 51 trunks of sundries
B. R. & Co. No. 1 to 107. 107 packages of
The value of all the property concerned
T. S. part of his goods thrown overboard valued at $3600
A. W. his goods thrown overboard valued at
S. B. his
The whole amount of loss
loss must each sustain ?
What is the average per cent, and what proportion of the
T. S. his remainder of goods must pay
J. A. his amount of goods must pay
Underwriters (if insured) must pay
11 per cent.
3. R ship Hero, laden with tobacco from City-Point in mes bound to Hamburgh, ran ashore on the banks The master after expending $533§ før
lighters and laborer's hire, got again to sea and finally arri ved safe at Hamburgh, where he entered a protest, after which and other necessary arrangements, an average account was thus stated.
Average accrued to ship Hero from City-Point to Hamburgh, for lighters and men to get her off the banks of Newfoundland.
Paid sundry charges at Placentia
for lighters and men to assist in get-$512
ting off the ship.
Protest and other charges
I demand the rate per cent of average, and the proportion
of loss to be paid by each species of property?
1 per cent.
m. b. 1200
art of the nests markKs, marked AW.
marked SB. No. 1
The American Tutor's Guide, &c.
DUODECIMALS, OR, CROSS MULTIPLICATION. Cross multiplication is a rule made use of by workmen and artificers in computing the contents of their work.
Dimensions are generally taken in feet, inches, and parts. Inches and parts are sometimes called primes, seconds, thirds, &c. and are marked thus: inches or primes ('), seconds ("), thirds (6), fourths (!), &c.
RULE-Feet multiplied by feet, produce feet.
Feet multiplied by inches, produce inches.
1. Let 7 feet 5 inches 9 parts be multiplied by 3 feet 5 inches 3 parts.
7 5 911
3 5 3
22 5 3
1 10 5 31111
25 8 6 2 3
2. Multiply 97 feet 8 inches by 8 feet 9 inches.
Ans. 854 feet 7 inches. 3. Let 8 feet 4 inches 3 parts or seconds 5 thirds 6 fourths be multiplied by 3 feet 3 inches 7 seconds 8 thirds 2 fourths, Ans. 27 ft. 7 in. 3-2ds. 5-3ds. 1-4th. 8-5ths. 8-6ths. 11-7ths. 4. Multiply 321 feet 7 inches 3 parts, by 9 feet 3 inches 6 parts. Ans. 2988 ft. 2 in. 10 sec. 4 thirds 6 fourths. 5. Multiply 124 feet 7 inches 9 parts, by 14 feet 6 inches Ans. 1809 ft. 1 in. 1 sec. 9 thirds 6 fourths. SUPERFICES.
0 3. Req
vare 20 f
parallelogram; whether it be a square, a rhombus, or a rhomboides.
-Multiplyne length by the perpendicular height,
be the area.