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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12 feet 9 inches abscissa angle arch base body breadth called centre chord circle circular circumference cone contained Cross cubic inches curve depth describe diameter difference dimensions distance divided double ellipsis equal Example feet 6 inches feet 9 figure find the Area find the Solidity fluid foot four frustum gallons girt give given greater end half height hence hyperbola inches broad length marked mean measure middle multiply nearly Note ordinate ounces parabola parallel piece plane pounds Prob PROBLEM pyramid quarter radius remainder Required the solidity roof round rule segment side Sliding solidity specific gravity sphere square stands straight line superficies Suppose surface thickness third timber transverse axis triangle wall whole 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.