Avoirdupois Weight........ " Foreign Weights in Pounds, Practical Geometry. 1. To divide a given line into two equal parts..... 2. To divide a given angle into two equal parts... Page. 53 53 3. From any point in a right line to erect a perpendicular 54 4. To divide a right line into 55 any number of equal parts 55 5. To find the centre of a circle already described.......... 6. Through any 3 points out of a right line to describe the circumference of a circle... 7. Two right lines being given, to find a mean proportional 56 8. To describe a square upon any right line.... 9. To circumscribe a square 55 57 58 13. To find the diameter of a circle that shall be any number of times the area of a given circle.... ..... 58 14. To divide a given circle into any number of co-centric parts equal to each other.. 15. To find the side of a square nearly equal in area to a given circle..... 16. To find a right line that 30 32 34 51 shall be nearly equal to any given arc of a circle 17. To describe an ellipsis, the transverse and conjugate diameters being given .... 18. To describe a parabola, any ordinate to the axe and its abscissa being given...... 58 59 69 THE MILLWRIGHT AND ENGINEER'S POCKET COMPANION. An Explanation of the Signs or Characters now generally made use of in all sorts of Calculations. = signifies Equality, as 4 added to 3 is equal to 7. + signifies Addition, as 5+ 3 = 8. 3 signifies Cube Root, as 3/27 3. 32 signifies that 3 is to be squared, as 32 3' signifies that 3 is to be cubed, as 3' 3+5 x 3 24 9. 27. the Bar signifies that two, three, or more numbers are to be taken together, as 3 added to 5 8, and 3 times 8 24. signifies that 3 squared taken from 5 squared and the square root extracted, 4. 2 signifies that when 20 is multiplied by 12, and divided by 30, the cube root of the quotient 2. B |