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A Treatise on a Box of Instruments and the Slide-Rule; For the Use of Gaugers, Engineers, Seamen, and Students

A Treatise on a Box of Instruments and the Slide-Rule; For the Use of Gaugers, Engineers, Seamen, and Students


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About the Book

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1852 edition. Excerpt: ...are determined with the greatest ease, as they all come under the general formula I.jr, in which I represents the length, s the side or diameter, as the case may be, and 6 the prepared divisor, or, for the purposes of the Slide-rule, its square root, the gauge point. For finding the solidities of frustums the following is an invaluable rule, and of general applicability: --Find the area of the tap, the area of the bottom, and four times the middle area; their sum is six times a mean area, which, being multiplied by one-sixth of the depth, gives the content. Now, since by the above-mentioned divisors we have reduced round solids to square ones, the rule becomes: Add together the square of the top, the square of the bottom, and four times the square of the middle, and multiply the sum by one-sixth of the depth. But' four times the square of a number is equal to the square of twice that number; therefore the rule becomes still easier. Add together the square of the top, the square of the bottom, and the square of twice the middle, and multiply by one-sixth of the depth. Moreover, when solids do not bulge in the middle, like globes and spindles, but taper regularly like cones and pyramids, then the sum of the top and bottom will be twice the middle diameter. Therefore, for all regularly tapering frustums the above given rule becomes still more concise, viz.: Add together the square of the top, the square of the bottom, and the square of their sum, and multiply by one-sixth of the depth. In the same way as for cones, we multiplied by the whole of the height, and took three, times the divisor, so for frustums we may take the whole of the height, and divide by six times the divisor. Now, 6 times 277.274 = 1663.644, whose square root = 40.78, the...


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Product Details
  • ISBN-13: 9781234108540
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 48
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1234108542
  • Publisher Date: 12 Oct 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 104 gr


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