The complete measurer: or, The whole art of measuring, containing the substance of Hawney's Mensuration, newly arranged, adapted to the present improved state of science, and incorporated with a variety of original and important matter
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18 feet 9 inches abscissa angle answer arch base body breadth bushels called centre chord circle circular circumference cone conjugate contained cubic inches curve depth describe diameter difference dimensions distance divided double draw drawn ellipsis equal Example feet 6 inches feet 9 figure find the Area floor foot four frustum girt give given greater end half height hence inches broad length less malt marked mean measure middle multiplied Note ordinate parabola parallel perpendicular piece plane pounds Prob PROBLEM proportional quarter radius remainder rods roof round rule segment side solidity specific gravity sphere square stands straight line superficies Suppose surface taken thickness third timber transverse axis tree triangle wall whole window wine gallons yards zone
Page 47 - BAC is cut off from the given circle ABC containing an angle equal to the given angle D : Which was to be done. PROP. XXXV. THEOR. If two straight lines within a circle cut one another, the rectangle contained by the segments of one of them is equal to the rectangle contained by the segments of the other.
Page 37 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Page 3 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 5 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 101 - The Slant height of a regular pyramid is the distance from the vertex to the middle of one of the sides of the base, or, if it be a cone, to the circumference of the base.
Page 99 - To find the solidity of a cylinder. RULE. — Multiply the area of the base by the altitude, and the product will be the solidity.
Page 49 - ... multiply the square of the diameter by ,7854 and the product will be- the area.
Page 27 - The area of any figure is the space contained within the bounds of its surface. without any regard to thickness, and is estimated by the number of squares contained in the same ; the side of those squares being either an inch, a foot, a yard, a rod, &c.