Arithmetick vulgar, decimal, & algebraical. In a most plain and facile method for common capacities. Together with a treatise of simple and compound interest and rebate; with two tables for the calculation of the value of leases and annuities, payable quarterly; the one for simple, the other for compound interest, at 6. per cent. per annum; with rules for making the like for any other rate. To which is added a new, and most practical way of gauging of tunns. As also the art of cask-gauging, for the use of His Majesties Officers of the Excise.

About this Item

Title
Arithmetick vulgar, decimal, & algebraical. In a most plain and facile method for common capacities. Together with a treatise of simple and compound interest and rebate; with two tables for the calculation of the value of leases and annuities, payable quarterly; the one for simple, the other for compound interest, at 6. per cent. per annum; with rules for making the like for any other rate. To which is added a new, and most practical way of gauging of tunns. As also the art of cask-gauging, for the use of His Majesties Officers of the Excise.
Author
Mayne, John, fl. 1673-1675.
Publication
London :: printed for J.A. and are to be sold by most book sellers,
1675.
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Subject terms
Interest -- Early works to 1800.
Arithmetic -- Early works to 1800.
Link to this Item
http://name.umdl.umich.edu/A50423.0001.001
Cite this Item
"Arithmetick vulgar, decimal, & algebraical. In a most plain and facile method for common capacities. Together with a treatise of simple and compound interest and rebate; with two tables for the calculation of the value of leases and annuities, payable quarterly; the one for simple, the other for compound interest, at 6. per cent. per annum; with rules for making the like for any other rate. To which is added a new, and most practical way of gauging of tunns. As also the art of cask-gauging, for the use of His Majesties Officers of the Excise." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A50423.0001.001. University of Michigan Library Digital Collections. Accessed June 2, 2024.

Pages

Page 179

The Tetragon or Square Pyramid.

There is a Tunn in the form of the Frustum of a Square Pyramid,

  • A = 144 Inches, the length of a Side above,
  • B = 108 Inches, the length of a Side below,
  • P = 60 Inches, the Perpendicular,

Q. The Content in Gallons?

The Coefficients being found by the former Rule and Example, viz.

〈 math 〉〈 math 〉
  • 1/3 of d d = the first Coefficient .1.2
  • d B = the second Coefficient 64.8
  • B B = the third Coefficient 116.64

These three being divided by 282 the Cubick Inches in the Ale Gallon, are equal to

〈 math 〉〈 math 〉

Page 180

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If the Tunn stand upon its greater Base, the Coefficients then are P) B - A (= - d, and the 1/3 d d = the first, A d = the second, and A A = the third, which divided by 282 the number of Cubick Inches in an Ale Gallon,

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Page 181

If 40 Inches of the Perpendicular be wet in the first Tunn, and 20 in the latter, and it be demanded what they contain in Ale Gallons.

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Proof.

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