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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ABCD Abscissa Angle Arch Area arithmetic Progression Base Breadth Bung and Head-Diameters Bung-Diameter called Cask Center Chap Circle circular Segment Cone Conic Conic Sections Conjugate Cube Curve Cylinders Decimal denote Depth Diam Difference Distance divided Divisor drawn dry Inches Elementa Ellipse equal Euclid Example faid Figure find the Ullage Gauging given Height hence Hoof Hyperbola Hyperbolic Segment infinite Number inverted Lemma Length Liquor Liquor's Surface Logarithms mean Diameter Measure sought Method Middle betwixt multiplied Numbers opposite Ordinate orems parabolic Conoid parallel perpendicular Plane Points Polygon Product Prop Proposition Quotient Radius Remainder right Lines Rule Scholium Section Segment shew shewn Side Sliding-Rule Solid Spheroid Spindle square Pyramid Square Root taken Terms thence Theorem thereof third thro transverse Axis Triangle twice versed Sine Vertex wet Inches wet or dry whence Wine Gallons
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 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 188.8.131.5265.5 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.