## 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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Abſciſſa againſt alſo Angle Area Baſe becauſe betwixt Breadth Bung Bung-Diameter called Caſes Caſk Chap Circle Cone Conoid conſequently Content Corol correſponding Curve Decimal denote deſcribe Dimenſions Diſtance divided Diviſion Diviſor dry Inches eaſy Ellipſe equal Example expreſſed Figure firſt Fraćtion Fruffum Fruſtum Gallons Gauging given gives greateſt Head-Diameters Height hence Hoof Hyperbola laſt leaſt Length leſs Line Logarithms manifeſt mean Diameter Meaſure Method moſt multiplied muſt Number O P E R A T obſerve oppoſite Ordinate parabolic parallel perpendicular Plane Points Pračtice Produćt Prop propoſed Propoſition Quotient Reaſon reſpectively Root Rule ſaid ſame ſecond Sečtion Segment ſet ſeveral ſhall ſhew ſhewn ſhould Side ſimilar ſince Sliding-Rule Solid ſome ſought Spheroid Spindle Square ſtanding ſuch ſufficient ſuppoſe ſure Terms Theorem thereof theſe thoſe thro tranſverſe Axis Triangle Ullage Uſe verſed Sine Vertex wet Inches whence whoſe

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Side 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.

Side 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.

Side 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.

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

Side 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...

Side 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.

Side 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.

Side 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.

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