Rudimentary Treatise on Mensuration: Arranged for the Use of Schools and Practical Men : Comprehending the Elements of Modern Engineering

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John Weale, 1850 - Mensuration - 134 pages
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Page 3 - 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, etc.
Page 53 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 17 - Similar triangles are to one another in the duplicate ratio of their homologous sides.
Page 83 - Large and plain articles are usually measured by the square foot or yard, &c; but enriched mouldings, and some other articles, are often estimated by running or lineal measure •, and some things are rated by the piece. In measuring of Joists...
Page vii - MATHEMATICS FOR PRACTICAL MEN: Being a Common-Place Book of Principles, Theorems, Rules, and Tables, in various departments of Pure and Mixed Mathematics, with their Applications ; especially to the pursuits of Surveyors, Architects, Mechanics, and Civil Engineers, with numerous Engravings.
Page 34 - To find the area of a parallelogram (65), whether it be a square, a rectangle, a rhombus, or a rhomboid. RULE. — Multiply the length by the breadth, or perpendicular height, and the product will be the area.
Page 28 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.
Page 45 - Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector. Then...
Page 25 - As 7 is to 22, so is the diameter to the circumference; or, as 22 is to 7, so is the circumference to the diameter.
Page 95 - PLOTTING SURVEYS. THE COMMON DRAWING COMPASSES, This instrument consists of two legs moveable about a joint, so that the points at the extremities of the legs may be set at any required distance from one another : it is used to transfer and measure distances, and to describe arcs and circles. THE HAIR COMPASSES.

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