CONTENTS. .......... Page. French Weights, Decimal System 14 The lineal Foot of various coun. tries, given in English inches 16 French Superficial Measures.... 17 Imperial Wine Measure........ 18 French Measures of capacity... 18 Imperial Ale and Beer Measure 19 Dimensious of Drawing Paper 20 A Table of the Fractional parts 1. To divide a given line into 2. To divide a given angle into line to erect a perpendicular 54 4. To divide a right line into 5. To find the centre of a circle 6. Through any 3 points out of circumference of a circle... 55 7. Two right lines being given, to find a mean proportional 56 11. In a given circle to inscribe 12. To find the side of a square 14. To divide a given circle into parts equal to each other.. 58 shall be nearly equal to any given arc of a circle ...... 59 17. To describe an ellipsis, the transverse and conjugate diameters being given · 59 18. To describe a parabola, any ordinate to the axe and its abscissa being given ...... 60 59 Page. Page. 1. To find the area of any pa- 2. To find the area of a trape- 3. To find the area of a trian. 4. Any two sides of a triangle 5. To find the area of any re- A table of multipliers for poly- 10. To find the solidity of the gons from 3 to 12 sides ... 64 7. To find the length ofany arc To find the superficial/content of a circle........ 66 of timber... 81 8. To find the diameter of a cir- To find the solid content of cle by having the chord and timber 82 versed sine given.... 66 To find the transverse section A table of the relative propor- of the strongest beam that tions of the circle, its equal can possibly be cut out of and inscribed squares 67 a round piece of timber.. 84 Some of the properties of a circle 68 On the Strength of Materials. given to find the diameter 69 On the cohesive strength of bo- dies........ 85 69 A table of the ultimate cohesive 11. To find the area of a seg. strength of various bodies 86 ment of a circle ... 70 To find the ultimate cohesive 12. To find the area of a circu. strength of square, round, lar ring or space included and rectangular bars...., 86 between two concentric The weight of a body being circles .... 70 given to find the dimen- 13. To find the area of an ellip- sions of a bar or rod to sis. 71 sustain that weight...... 87 A table of the cohesive strength Mensuration of Solids. and weight of chains........ 88 1. To find the convex surface On the Transverse Sluongth of and solid content of an up- Bodies. right cylinder..... 72 2. To find the surface and so- A table of the transverse lid content of a cone or py- strength of various bodies 89 ramid. 73 To find the ultimate transverse 3. To find the surface of the strength of rectangular frustum of a cone or pyra. beams 89 mid........... 74 To find the breadth or depth of 4. To find the solid content of beams intended to support the frustum of a cone..... a permanent weight...... 91 Page. A table of the strength of va- A table of the estimated power A table for finding the radius of 2. Of breast and overshot wheels 110 To find the circle of gyration in a water wheel 113 A table of angles for wind-mill sails 114 Of Pumps and Pumping Engines......... 115 To find the quantity of water discharged by a pump of a given diameter in a given time 116 To find the diameter of a pump and number of horses' power to discharge a given quantity of water in a given time 116 To find the time a cistern will take in filling when a known quantity of water is going in, and a known portion of that water is going out in a given time 117 Page. To find the number of imperial gallons contained in a yard of pipe of any given dia- meter 117 To find the weight that a given power can raise by means of a hydrostatic press.... 118 To find the diameter of a cy- linder for a pumping en- gine to work a pump of a given diameter for a given depth 119 To find the diameter of a pump that a cylinder of a given diameter can work at a given depth.......... 119 To find the depth from which a pump of a given diameter will work by means of a cylinder of a given dia- meter..... 119 Approximate Rules for calcu- lating Liquids. To find the number of imperial gallons contained in any square or rectangular cis- tern 120 Any two dimensions of a square or rectangular cistern being given to find the third that shall contain any number of imperial gallons required.......... 120 To find the content of a cylinder in imperial gallons........ 121 The length of a cylinder given to find the diameter, or the diameter given to tind the length, that shall contain any number of imperial gallons required..... 121 Of Steam and the Steam Engine... 123 The steam gauge.. 124 The safety valve.... 125 A table of the expansive force of steam... 127 Proportions of fuel ............ 128 Tofind the perpendicularheight of feed pipe 128 A table of the velocities of land engines Page. Proportions of cement for cast A table containing some of the properties of various bodies 151 A table of the specific gravity of water by heat.......... 152 A table of the velocities of ma- An approximate table for calcu- A table of gauge points for calcu- To find an equivalent force of A table of hyperbolic logarithms 144 To find the weight of a cast iron To find the weight of any cast To find the diameter of a cast able iron, copper, and lead, 147 A table for finding the weight THE MILLWRIGHT AND ENGINEER'S POCKET COMPANION. An Explanation of the Signs or Characters nor generally made use of in all sorts of Calculations. + signifies Equality, as 4 added to 3 is equal to 7. 15. signifies Square Root, as v 9 : 3. 3V signifies Cube Root, as 'V 27 3. 32 signifies that 3 is to be squared, as 32 9. 3 signifies that 3 is to be cubed, as 3 27. 3 + 5 X 3 . 24 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. 52 – 3 4 signifies that 3 squared taken from 5 squared and the square root extracted, 4. V20 x 12 2 signifies that when 20 is multiplied by 12, 30 and divided by 30, the cube root of the quotient 2. 3 B |