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according acres allotment angle Answer arrows base base line begin breadth bushels called centre chain circle circular circumference common cone construction contained correct crooked cross curved depth diagonal diameter difference dimensions direction distance Ditto divided division draw drawn East edge equal Examples feet fence field figure FIND fixed four frustum gallons give given ground half height inches land length less logarithm manner mark measure method middle multiplied Note obtain offsets opposite parallel perches perpendicular plate plotting poles practical principal PROBLEM proceed proof quantity radius rectangle reduced roads Rule scale segment shillings side similar sine solidity square staff stake station straight line superficial surface survey surveyors taken thickness trapezium trapezoid triangle vessel West whole yards York
Page 3 - Any two sides of a triangle are together greater than the third side.
Page 269 - ... for the second term, and the greater for the first ; and in either case multiply the second and third terms together, and divide the product by the first for the answer, which will always be of the same denomination as the third term.
Page 276 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 167 - RULE.* To the sum of the areas of the two ends add four times the area of a section parallel to and equally distant from both ends, and this last sum multiplied by £ of the height will give the solidity.
Page 166 - To twice the length of the base add the length of the edge ; multiply the sum by the breadth of the base, and by one-sixth of the height.
Page 4 - Plane figures that have more than four sides are, in general, called Polygons ; and they receive other particular names, according to the number of their sides or angles.
Page 235 - To three times the square of the radius of the base, add the square of the height.
Page 264 - The difference of the logarithms, as here used, means the algebraic difference ; so that, if the logarithm of the divisor have a negative characteristic its sign must be changed to positive, after diminishing it by the unit, if any, carried in the subtraction from...