Practical geometry for the architect, engineer, surveyor and mechanic

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Lockwood, 1871 - 242 páginas
 

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Contenido

To construct au isosceles triangle of which two unequal sides are given
16
To construct an equilateral triangle upon a given finite right line
17
To construct a triangle whose three sides are of given lengths
18
To construct a triangle of which two sides and an angle not in cluded are given
19
In a given triangle to inscribe a square
20
To construct a square equal in area to the sum of the areas of two given squares
21
Upon a given rightline to construct a rectangle equal in area to a given rectangle
22
To construct a rectilinear figure of a given irregular form
23
PASS
24
CHAPTER II
29
On a given rightline to describe a segment of a circle that shall
35
To lay out an arc of a circle as a railway curve of given radius by finding points on the circumference
36
To describe a circle touching a given rightline and passing through two given points
37
To construct a rectangle equal in arta to a given irregular recti
38
To describe a circle of given radius which shall touch two given circles
39
To describe a circle through two given points and touching a given circle
41
To draw geometrical tracery in a Gothic arch
43
To describe a circle which shall touch a given circle and a given rightline and shall also have its centre on another given line
45
To describe a circle touching a given circle and also two given rightlines which are not parallel
46
To inscribe three circles in an equilateral triangle
48
In a given triangle to inscribe a circle
49
In a given square to inscribe a circle
50
In any regular polygon to inscribe a circle
51
In a given circle to inscribe three equal circles
52
To inscribe six equal circles in a given circle
53
To inscribe four equal circles in a given circle
54
A diameter of an ellipse and an ordinate being given to find
83
To find points on a hyperbola by means of the asymptotes
88
To draw any hyperbola by means of the rectangular hyper bola
89
To draw any hyperbola by means of a scale of parts
90
To find points on the contour of a rectangular hyperbola
92
To draw the tangent at any given point of a hyperbola
93
To draw a normal at any given point on a hyperbola
94
To apply the hyperbola to form the entasis of a column
95
THE PARABOLA
97
To draw the parabola by continuous motion
98
To find points on the contour of the parabola 143 To find the lengths of ordinates to a parabola by means of a scale of parts
99
To draw a tangent at any point of the parabola
100
From a given point on the axis outside the parabola to a tangent 146 To draw a normal at any given point on the parabola 147 To apply the parabola...
101
To find the focus of a given parabola 149 To apply the parabola to form the outline of a Tudor arch
102
To approximate to the contour of the parabola by arcs of circles
103
Application of the parabola to mouldings architectural orna ments and other purposes draw 97 98 99 99 100 101 101 101 102 102 103
104
THE CATENARY 152 Definition of a catenary
106
To draw the equiangular spiral when the depth and the angle between the tangent and radius are given
157
To apply the equiangular spiral to the formation of volutes and other architectural ornaments
162
CHAPTER VI
165
To draw the tangent and normal at any given point on the cycloid
166
Properties and applications of the cycloid
167
Definition of a trochoid
168
To describe an epicycloid and hypocycloid
169
linear firuro 22
22

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