Stereometry, or the Art of Gauging; Made Easy, by the Help of a Sliding-Rule, Which Shews the Area's of Circles in Gallons, and the Square and Cube-Root of Any Number Under 100000, by Inspection
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1750 edition. Excerpt: ... mentioned were so placed, that when the Bottom is but just covered on one iide, the Liquor is 4 Inches deep on the side F 4. opopposite; How much must be allow'd for the Fail of this Tun? By the Operation aforegoing the Area of the mean Diameter in the middle of the 4 last Inches (that is, at 2 Inches from the Bottom) was found to be 27.57, his multiplied by 4, is 110.28 Ale-Gailons, the half of this is 55.14, and so much may be allow'd for the Fall of the Tub; redued these 55.14 Gallons into Barrels, Firkins, and Gallons Beer-measure gives 1: z: t. 14: and this taken from 14: 2: 7. 12, the Content of the Tun when it stands level, there remains 13 Barrels, - Firkins, 5 Gallons, and 98 parts: And so tnuch will the Tun contain, when the Fall is 4 Inches; therefore set this at the Top of the Table, then reduce the first mean Inch, viz. 25,34 into Barrels, Firkin;, and Gallons, and subtract it four times fiom the whole Concent 13: o: j: 9.8 the Remainder will be 10: 1: 3: 2: Do the like with second, third, and fourth mean Inches, and you will find-the Remainder at 16 Inches dry, to be 1: 1 14: And so much it takes to cover the Bottom, as was before observed. As for such Tuns as are supposed to be the Frulhums of Spheroids, ParaboJit Conoids, Hjperabolic Conoids, or Parabolic Spindles, I shall give Rules for Gaugirg, and Inching of these in the.Appendix, where I (hill also endeavour to explain the Natu-e of these Figures, and show whence they are de lived. PROB. V. Fig. 20. Pkte 1st. To Gauge a Copper, and make Allowance for the Crown: let a b c d e, represent a Copper, whose Content is required. tf "0 find the dveral Diameters and Depth of X the Copper, together with the Altitude of the Crown, Take a small Cord, or Thread, make one End...
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