The Compleat Measurer; Or, the Whole Art of Measuring. in Two Parts. Teaching Decimal Arithmetick, with the Extraction of the Square and Cube Roots. and Also the Multiplication of Feet and Inches, Commonly Call'd Cross-Multiplication. (Paperback)

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. 1721 edition. Excerpt: ...I. Sect. IX. Problem a, you will fimd the Circumference of the greater Base to he y6.5:488, and of the lesser Base 28.2744; the Sum of both is 84.8232; the half Sum is 42.4116; which multiply'd by 14.25: Feet, and the.Product is 604.36, Or. which divided. by 12, the Quotient is 5:0.36 Feet, the Curve-Surface; to which add the Sum of the two Bases, 2.21 Feet, the Sum is J2.J7 Feet, the whole superficial Content. $ IX. To measure the Frustum of a re&angled Pyramid, calVd a PrisMOID, whose Bases are parallel one to another but disproportion ah The RULE. TO tM greatest Length add half the lesser Le-gth, and multiply the Sum by the Breadth of the greater Bj.fe, and reserve the Product. Then, to the lesser Length, add half the greater Length, and multiply the Sum by the Breadth of the lesser Base; and add this Product to the other Product reserv'd, and multiply that Sum by a third Part of the Height and the Product is the solid Content. Example. Let ABCDEFGH be a Prismoid given the Length 0f the greater Base AB 38 Inches, and il Breadth AC 16 Inches; and the Length of the lesser BiseEFis 30 Inches, and its Breadth ii Inches, and the Heights Feet 5 the solid Content is requir'd. To the greater Length AB 38, add half EF the? lesser Length iy, the Sum is 5:3; which multiply'd by t6, the greater Breadth, and the Product is 848; which reserve. Again, To EF 30, add half AB 19, and the Sum is 49; which multiply by la, (the lesser Breadth EO) the Product is j88; to which add 848, (the reftrv'd Product) and the Sum is X436; which multiply'd by a, (a third Part of the Height) and the Product is 1873; divide this Product by 144, and the Quotient is 19.94 Feet the solid Content. 53 848 J88 1436 a SS a third Part of the Height. 144)1872(19 94 Feet, the...