Practical geometry for the architect, engineer, surveyor and mechanic

Lockwood, 1871 - 242 sider

CHAPTER I	1

To divide a rightangle into five or fifteen equal parts	7

To find a thirdproportional to two given rightlines	11

To construct an equilateral triangle upon a given finite right	17

To construct a rectilinear figure of a given irregular form	23

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

In a given circle to inscribe a quindecagon or figure of fifteen	64

To describe an ellipse of given length of axes by continuous	70

To find any number of points on the circumference of an ellipse	71

In a given parallelogram to inscribe an ellipse	77

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 a normal at any given point on a hyperbola	94

To draw a tangent at any point of the parabola	100

To describe a circle touching a given rightline and passing through two given points	37

To construct a rectangle equal in area to a given irregular recti	38

To describe a circle of given radius which shall touch two given circles	39

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

To inscribe eight equal circles in a given circle	55

In a given circle to inscribe five equal circles	56

In a given circle to inscribe approximately seven equal circles	57

To circumscribe a circle about a given triangle	58

127	108

To apply the harmoniccurve to form the contour of an ogival	114

21	118

To apply the lemniscate to mouldings and other architectural	121

THE INVOLUTE OF THE CIRCLE	127

To draw a spiral whose distance from the pole is directly	129

To draw the tangents at various points of the foregoing spiral	138

To draw a normal at any given point on the parabola	146

To find points upon a spiral in which the radiusvector varies	151

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

Definition of a catenary	8

Titel	Practical geometry for the architect, engineer, surveyor and mechanic
Forfatter	Edward Wyndham Tarn
Udgave	2
Udgiver	Lockwood, 1871
Oprindeligt fra	Det britiske nationalbibliotek
Digitaliseret	17. mar 2020
Længde	242 sider

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