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CONTENTS.

..........

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
65

59

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.
9. Having the area of a circle

given to find the diameter 69 On the cohesive strength of bo-
10. To tind the area of the sec-

dies........

85
tor of a circle ......

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
110

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

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.
signifies Addition, as 5 + 3 = 8.
signifies Subtraction, as 5 3 2.
8gnifies Multiplication, as 5 X 3

15.
signifies Division, as 15 : 3 5, or y.
signifies Proportion, as 2 is to 3, so is 4 to 6.

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

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