LECTURER ON SCIENCE AND ART IN THE CITY OF LONDON MIDDLE-CLASS

LONDON:

CASSELL, FETTER, AND GALPIN, BELLE SAUVAGE WORKS,

LUDGATE HILL, E.C.

3

3

To draw a Line Perpendicular to another from an outlying

point

6

To draw a Line parallel to another, at a given distance .....
To draw a Line parallel to another and passing through a
given point

78

7

8

To divide a Line into any number of equal parts...

9

To divide a Line proportionally to another...

To draw a "Tangent" to a Circle at a given point

49

To find a Mean Proportional between two given Lines

104

To divide the space contained between two Lines into equal

parts by Parallel Lines

How to measure or construct Angles of various degrees.

To measure or construct Angles by means of the "Protractor"

TRIANGLES.

To construct a Triangle of given dimensions

To inscribe a Circle in a Triangle

To draw a Circle through any points, and thus touching the

three Angles of a Triangle

To construct a Triangle, when Base and Angles are given

To construct an Isosceles Triangle on a given Base, and with a

given Vertical Angle

To inscribe an Equilateral Triangle in a Square

To construct an Equilateral Triangle of a given altitude

To construct an Equilateral Triangle about a Circle

47

48

50

To inscribe a Triangle similar to another in a given Circle

To describe a Triangle about a given Circle

To inscribe an Equilateral Triangle in a Regular Pentagon

To inscribe an Equilateral Triangle in a Hexagon to touch the

sides

...

To inscribe in a Regular Hexagon the largest Equilateral

Triangle it will contain

Within an Equilateral Triangle to inscribe six equal Circles

In an Equilateral Triangle to inscribe the three largest Circles

it will contain

69

70

71

58

73

109

...

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99

103

To construct an Equilateral Triangle, equal to a given Triangle 108

To construct a Triangle equal in area to a given Polygon

To construct a Triangle equal to a given Rectilineal Figure

Ditto

To divide a Triangle into two equal parts by a Line parallel to

or perpendicular to one of its sides

To construct a Square equal in area to a given Rectangle

105

To construct a Square equal in area to a given Quadrilateral

Figure

112

wowwwww...!

37

47

65

68

To construct a Square which shall be equal to two other

Squares added together

113

To construct a Square equal in area to any number of Squares

added together

To construct a Parallelogram with given Diagonal and Side
To inscribe a Square in a given Trapezium
To inscribe a Circle in a given Trapezium
To construct a Rectangle and a Square equal to a given Tri-

To construct a Rectangle, a Triangle, and a Square equal to a

Circle...

107

...

Ditto

ditto

To construct a Triangle which shall be equal to any given
Rectilineal Figure

To construct a Square equal in area to a given Quadrilateral
Figure

POLYGONS.

Definitions concerning Polygons

To construct any Polygon on a given line ...

About a Pentagon to describe another of a given size

To inscribe any Polygon in a Circle ..

To construct a Regular Pentagon on a given line

To inscribe a Regular Pentagon in a Circle

To construct a Regular Hexagon on a given line...

To construct a Regular Heptagon on a given line

To inscribe a Regular Hexagon in a Circle...

To inscribe a Regular Heptagon in a Circle

To construct a Regular Octagon on a given line

To inscribe a Regular Octagon in a Square

To inscribe an Octagon in a Circle

...

To inscribe an Equilateral Triangle in a Regular Pentagon

To inscribe a Square in a Regular Pentagon

To inscribe an Equilateral Triangle in a Regular Hexagon,

touching the sides

To inscribe in a Regular Hexagon the largest Equilateral

Triangle it will contain...

To construct a Triangle equal in area to any given Polygon

CIRCLES.

To inscribe a Circle in any Triangle...

To draw a Circle passing through any three points, and thus

156

touching the three angles of a Triangle

To construct an Equilateral Triangle about a Circle

About a Circle, to describe a Triangle similar to another
To inscribe any Polygon in a Circle...

To inscribe a Regular Pentagon in a Circle

16

31

32

33

34

To inscribe a Circle in a given Trapezium

Within a Circle, to inscribe a Triangle similar to a given Tri-

angle...

50

51

52

55

56

To inscribe a Regular Hexagon in a Circle

To inscribe a Regular Pentagon in a Circle

59

63

To inscribe a Regular Octagon in a Circle...

66

To inscribe Six equal Circles in an Equilateral Triangle

To inscribe Three equal Circles in a Circle

71

72

To inscribe in an Equilateral Triangle the Three largest Circles

it will contain

To inscribe any number of equal Circles in a Circle

76

To divide a Circle into any number of equal parts

79

To divide a Circle equally by Concentric Belts

80

To construct a Triangle, a Rectangle, or a Square equal in

area to a Circle

To draw a Circle of a given Radius, which shall touch another

and a given straight line

To draw a Circle which shall touch both sides of an Angle

119 107