The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy.

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Title

Author

Sturmy, Samuel, 1633-1669.

Publication

London :: Printed by E. Cotes for G. Hurlock, W. Fisher, E. Thomas, and D. Page ...,

1669.

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Link to this Item

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Cite this Item

"The mariners magazine, or, Sturmy's mathematical and practical arts containing the description and use of the scale of scales, it being a mathematical ruler, that resolves most mathematical conclusions, and likewise the making and use of the crostaff, quadrant, and the quadrat, nocturnals, and other most useful instruments for all artists and navigators : the art of navigation, resolved geometrically, instrumentally, and by calculation, and by that late excellent invention of logarithms, in the three principal kinds of sailing : with new tables of the longitude and latitude of the most eminent places ... : together with a discourse of the practick part of navigation ..., a new way of surveying land ..., the art of gauging all sorts of vessels ..., the art of dialling by a gnomical scale ... : whereunto is annexed, an abridgment of the penalties and forfeitures, by acts of parliaments appointed, relating to the customs and navigation : also a compendium of fortification, both geometrically and instrumentally / by Capt. Samuel Sturmy." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A61915.0001.001. University of Michigan Library Digital Collections. Accessed May 13, 2025.

Pages

CHAP. XI. The Application of the Line of Numbers in Common Affairs, as in Reduction of Weight and Measure of Cheese, Butter, and the like.

I Have added this Chapter, not for that I think it absolutely necessary; but only because I would have the absolute applicableness of the Rule to any thing be hinted at, that it may be known; that any thing may be measured by Rule, as well as by Weight, so far as there is Proportion considering that, and any thing else; the Application of which I leave to the Industrious Practitioner, only here I give a hint.

What have been said of other things in Reduction, is general in any other, as from 12 to 10 either Shillings or Inches to tenths, as of a Shilling, or tenths of a Foot, or Pence or Farthings, Ounces or Chauldrons, Hundreds, either weight or tale. The Rule is thus, (viz.) In either one shilling, or foot, hundred, or the like. If 100 is 12 d. what shall 66 be? facit 8 pence or 8 Inches; that is, Extend the Compasses from 100 to 12, the same will reach from 66 to 8; and so of all other.

If 100 be 112 P. what shall 50 be? facit 66 Pound; If 100 be 8 Pints, what shall 25 be? facit 2 Pints; If 100 be 48 farthings, what shall 30 be? facit 14.4, that is 3 d. 2 f. ½ near.

If 100 be 36 bushels, what shall 24 be? facit 8 bushels ½ and better.

If 100 be 60 min. what shall 50 be? facit 30 min. or ½ an hour.

If 100 be 120, what shall 80 be? facit 96. The like is for any Line of Reduction. Now if you would know how many there must be in any greater Number then one; then say, By the Line of Numbers thus: If 48 farthings be one shilling, how many shillings is 144 farthings? facit 3 shillings. For the extent from 48 to 1, will reach from 144 to 3; And again, if a Mark and a half be one Pound, how many Pound is 12 Mark? the extent from 1:50 to 1 shall reach from 12 to 8; which reason must help you to call it 8 Pound. Again, if 3 Nobles be one Pound, what is 312 Nobles? facit 104 l. the extent from 3 N. to 1 P. will reach from 312 to 104: Further, if a Chauldron of Coles cost 36 shill. what shall ½ a Chal. cost.? facit 18. But more to the matter; If 36 bushels cost 30 s. what shall 5 bush. cost? facit 4 s. 2 d. If one week be 7 days, how many days in 39 weeks? as 1 to 7, so 39 to 273 days in 39 weeks; As 8 furlongs make 1 mile, how much is 60 furlongs? facit 7 ½ miles, for the extent from 1 to 8, gives from 60 to 7:50, and the like of all other.