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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. 1739 edition. Excerpt: ...curved a Cask is, the more the Content will be i and therefore, the Rules relating to the greater Curviture, can't be exactly true in the lesser. The Cylinder and Cone have Been spoken to before; and such Vessels are -asily known at Sight: But the other will require some Explanation. L A A Spheroid, is partly like a Sphere, and partly like an Qvali to measure which take the 2 Diameters, at Head and Bung, within the Cask, or allow for the Stave if without, and by the Diameters find out the Circles. Then-j-the third Part of the lesser Circle to f of the greater, and X the Sum by the Length, the Product isU- Solidity. Toj which fay, Example. A Vessel Diameter at Bung 32 Inches, at Head 18 Inches, Length 40 Inches, What is the Content? 21: 11:: Sq. 32 = IO24: 536.1664 =5 f 42: 11:: Sq. 18 = 324: 84.8231 = f Then the two Areas being added are 620.9896 40 by the Length give the Solidity 24839.5840 Which bring into Wine or Ale Gallons at Pleasure. Thus a Pipe, Butt, or a gieater or lesser Cask, may be gauged, and the Content found. But if the Vessel be more curved than a Pipt or Butt generally are, the Dimensions are taken in several Places, and so added into one Sum. Other Ways follow. Example. 7. A Vessel being the Frustum of 2 Cor.es, whose Diameter at Bung is 29" At Head 24 Inches. Length 51J Rule. To j of the Area at Bun-f-, of the Area as Head j to the Sum of these two + i? thosaid Sum, from the aggregate Sum os which--of the differing Inches between the Diameter at Head and Bung, and x the Remainder by the Length. Bung 29 X 29 = 841 x.785 = 2.34a A. G. Head, Area is 1.6 Ale Gallons. The differing Inches between 29 and 24 = 5 whose Area =-069 the-6 of which =.0115. 5 Area 8. If the fame Cask were the Frustum of a Sfhertid, as Qu....