ATOCI for Steel Squares and their Uses (Hodgson) 1890
Dedication vii
Preface. ix
Contents. xi
Preliminary. 15
Advice to Students. 15
Polygons. 15
Equal and Unequal Squares. 15
Pentagons. 16
Scientific way of forming Pentagons. 16
Pentagons by the "Square. 16
Hexagon Figure. 17
How to Construct Hexagons. 18
Figure of Heptagon. 18
How to Construct Heptagons. 18
Figure of Octagon. 19
To Construct Octagons. 19
To Construct an Octagon by the Square. 19
Advice to Young Workmen. 20
Figure of Nonagon. 20
How to Construct Nonagon with the Square. 20
To hay off Octagon in a Square. 21
Figure of Square and Octagon. 21
Octagon described from edge. 21
To lay off Octagon on a given side. 21
Making a Square stick Octagonal. 21
To find the side of an Octagon when side of Square is given. 22
When the side of an Octagon is given, to find the square width 22
Figure showing application of Square for constructing Octagon. 22
Octagonal and Hexagonal Roofs. 22
Figure of Octagon Roof. 23
Side Bevels Octagonal Roof. 23
Backing Hips for Octagonal Roofs. 23
Jack Rafters for Octagonal Roofs. 23
Hexagonal Roof. 24
Hips and Jack Rafters for Hexagonal Roof. 24
Hexagonal and Octagonal Boxes or Hoppers. 24
Cuts and Bevels for Octagonal and Hexagonal Hoppers. 25
Figure of Hopper. 25 To test a Square. 25
Diagram of Test. 26
How to find the centre of a Circle with the Square. 26
Figure showing method. 26
Three points not in a straight line being given to find the centre of a circle which will pass through them. 26
To find a circle equal in area to two or more circles. 27
Diagram showing how done. 27 Rule applied to other Figures. 27
To find the side of a square of half the area of a given square. 28
Equilateral Triangle. 28
Figure of Equilateral Triangle. 28
Bisecting Angles by using the Square. 29
Two Diagrams showing manner of Bisecting. 29
Method of dividing Angles. 30
Figure with Bisected Angles. 30
Obtuse and Acute Angles Bisected 31
Diagram showing method. 31
Method of finding Angles. 32
Two Diagrams. 32
Angles of 30° and 60°, and how found. 33
Protractor made by Square. 33
Tangent Problem. 34
To find a Tangent. 35
Good for Stair-builders. 35
Finding a lost Centre. 36
Diagram showing how found. 37
Practical applications of rule. 38
Proportioning Columns. 39 Method illustrated. 39
Diagonal Scale. 41
Diagram of Scale. 42
Scale and uses explained. 43
To make Flared or Splayed Circular Work. 44
Two Diagrams in explanation. 44
Steel Squares generally. 45
The No. 100 Square. 46
The No. 200 Square. 46
The Crenelated Square. 47
Directions for using. 48
A Combination Square. 49
Seven illustrations of Combination Square. 50
Useful applications of the Steel Square. 51
Combination Diagram. 52
Length of Chords. 53
Division of Circles. 55
Construction of Unequal Squares. 57
Circumferences of Circles. 59
Degrees and Angles obtained by using the Square. 6i
Hip, Valley, Mansard and other Roofs. 62
To cut a Purlin against a Valley Rafter. 63
Another method. 64
To Timber a Hexagon Roof. 65
Lines for Hip Roofs. 66
Valley Rafters and Cripples. 67
Rule for Valley Rafters. 67
Pyramidal Frame Work. 67
Diagram of Battered Frame. 68
Make a Pyramid. 68
Windmill Frame. 69
Backing Corner Posts. 70
Two Diagrams of Post Bevels. 70
Mansard and French Roofs. 71
Manner of making Mansard Roof. 72
Another style of Mansard Roof. 73
Another form of Roof. 73
Concerning Hoppers. 73
Diagram of Roof. 74
Hopper Lines. 75
A Constant Diagram. 76
Butt Joints for Hoppers. 75
Mitres for Hoppers. 76
Hoppers with unequal Flares. 77
Novel method of cutting hopper joints. 78
Hexagonal Hoppers. 79
Diagram of hexagonal Hopper. 80qual Flares. 77
Novel method of cutting hopper joints. 78
Hexagonal Hoppers. 79
Diagram of hexagonal Hopper. 80