## The Theory and Practice of Gauging: Demonstrated in a Short and Easy Method. ... Published with the Particular Approbation of the Honourable Commissioners of Excise. Design'd for the Use of the Officers of that Revenue |

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### Common terms and phrases

added againſt alſo Angle Area Axis Baſe becauſe betwixt Bottom Breadth Bung called Caſk Center Chap Circle Cone Conoid Content Curve Decimal denote Depth Diameter Difference Diſtance divided Diviſion Diviſor drawn dry Inches Ellipſe equal Example fame Figure firſt fought four Fruftum Gallons Gauging given gives half Head Head-Diameters Height hence Hoof Hyperbola Inches laſt Length Line Logarithms manner mean Meaſure Method Middle multiplied muſt nearly Number OPERATION oppoſite Parabolic parallel perpendicular Plane Points Practice Product Prop Propoſition Quotient Remainder reſpectively Root Rule ſaid ſame ſecond Segment Series ſet ſhall Side Sine Sliding-Rule Solid Solution ſome Space Spheroid Spindle Square ſtanding ſuch Table taken Terms Theorem thereof theſe third thoſe thro tranſverſe Triangle twice Ullage Uſe Value Vertex whence whole whoſe Wine

### Popular passages

Page 59 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.

Page 7 - In multiplication of decimals, we know that the number of decimal places in the product is equal to the sum of those in both the factors.

Page 97 - J of the square of their difference, then multiply by the hight, and divide as in the last rule. Having the diameter of a circle given, to find the area. RULE. — Multiply half the diameter by half the circumference, and the product is the area ; or, which is the same thing, multiply the square of the diameter by .7854, and the product is the area.

Page 282 - Sort is, to multiply the two Weights together, and extract the Square Root of. the Product, which Root will be the true Weight.

Page 283 - Backs time ufed, and become more and more uneven as they grow older, efpecially fuch as are not every where well and equally fupported ; many of them...

Page 187 - Sum of thofe next to them, C the Sum of the two next following the laft, and fo on ; then we (hall have the following fables of Areas, for the feveral Numbers of Ordinates prefixt againft them, viz.

Page 86 - Progreflion from o, is equal to the Product of the laft Term by the Number of Terms, and this divided by the Index (m) plus Unity.

Page 272 - To half the Sum of the Squares of the Top and Bottom Diams.

Page 95 - The latter being taken from the former, leaves 3.14.15.9265.5 for the Length of half the Circumference of a Circle whofe Radius is Unity : Therefore the Diameter of any Circle is to its Circutuftrence as I is to 3.1415.9265.5 nearly.

Page 86 - Numbr infinitely greAt, therefore the firft Term of the above Value of /, muft be infinitely greater than any of the...