The gauger's guide and measurer's manual |
Common terms and phrases
12 inches base bottom diameter breadth bung diameter bushels cask circle circumference circumscribing common distance cone conjugate content in gallons cube cubic inches cylinder D line ď² diagonal dimensions divided divisors double ordinate ellipse equal equicylindric diameter EXAMPLES factors feet figure find the area find the content fixed axe formula FORMULE FOR GALLONS gauge points h d² h s² h(d² head diameter height Hence heptagonal pyramid hyperboloid inches deep inches.-Ans intermediate diameter inverted L(B² length mean proportional middle diameter middle frustum multiply the sum parabolic prism parabolic spindle paraboloid parallel parallelogram polygon Problem prolate spheroid quotient radius ratio rectangle regular polygons required its area required its content Required the content Required the value round frustum rule RULE.-Multiply segment side slide slide-rule solid solids of rotation sphere or spheroid square prism square pyramid square root thrice top diameter triangle ullage ungula vessel
Popular passages
Page 71 - All measurements should be in inches.) Add together the square of the top diameter, the square of the bottom diameter, and four times the square of the midway diameter (ascertained by adding the top and bottom diameters together and dividing by 2), and divide the sum by 6, which gives the square of the true mean diameter; multiply this by the depth of the tank, and the product will be the capacity in cylindrical inches.
Page 44 - A polygon of three sides is a triangle ; of four, a quadrilateral; of five, a pentagon ; of six, a hexagon ; of seven, a heptagon; of eight, an octagon; of nine, a nonagon; of ten, a decagon; of twelve, a dodecagon.
Page 45 - A Circle is a plane figure bounded by a curve line, called the Circumference, which is everywhere equidistant from a certain point within, called its Centre.
Page 43 - Multiply the sum of the parallel sides by the perpendicular distance between them, and half the product will be the area.
Page 168 - Divide the fixed axe by the revolving axe, and multiply the quotient by the difference between three times the revolving axe and twice the height of the segment.
Page 169 - Divide the square of the revolving axis by the square of the fixed axe, and multiply the quotient by the difference between three times the fixed axe and twice the height of the segment.
Page 12 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 67 - ... subtended at the centre is 90°. Find the area of the segment. 313. The chord of a segment is 28 yds. ; the angle at the centre is 60°. Find the area of the segment. 314. In a circle whose radius is 1 ft., what is the length of the arc subtended by one side of the inscribed regular decagon ? 315. Find the area of a circle inscribed in a square whose area is 196 sq. ft. 316. Out of a square piece of wood 5 ft. 10 in. long is cut the largest possible circle. Find its area. 317. Out of a circular...
Page 2 - LOGARITHMS are a series of numbers in arithmetical progression, corresponding to another series of numbers in geometrical progression : thus...
Page 151 - Add together the square of the head diameter, and twice the square of the bung diameter ; multiply the sum by i of the length, and the product by .0028 for ale gallons, or by .0034 for wine gallons.