Constructive Geometry of Plane Curves: With Numerous Examples

Macmillan and Company, 1885 - 374 sider

PROBLEM	3

To find graphically a series of terms in geometrical progression	9

To draw a triangle with its vertices on three given lines and	16

To construct a rectangle equal in area to the sum or difference	22

CHAPTER II	28

To describe a circle to pass through a given point and to touch	34

To draw a line touching two given circles	41

To describe a circle to touch two given circles and a given	47

Given any number of points on a straight line and three points	218

To describe a parabola with given directrix and to pass through	226

To describe a parabola with given directrix and to touch	232

CHAPTER IX	240

To cut a conic of given eccentricity from a given cone	248

To determine the section of an oblique cylinder by any plane	254

CHAPTER X	267

PROBLEM PAGE 154 Ovals of Cassini	307

To describe an ellipse the centre and three tangents being given	71

To describe an ellipse a focus a tangent and two points on	77

To describe a parabola to touch three given lines one of them	78

To describe an ellipse three tangents and two points being given	83

To describe an ellipse five tangents being given	84

CHAPTER III	92

To describe a parabola with given focus and directrix	99

To describe an hyperbola the foci and a tangent being given	105

To draw a parabola with given focus and axis and to pass	110

To describe an hyperbola two tangents with their points	111

To describe an hyperbola four points and one tangent being	117

To describe a parabola with given focus and to touch two given	123

PROBLEM PAGE	127

To describe a parabola to touch three given lines and the axis	131

To determine the centre of curvature at any point of a given	141

CHAPTER IV	147

CHAPTER V	151

THE ELLIPSE	161

95	166

To describe an ellipse with given axes three methods	170

To determine the axes of an ellipse from a given pair of con	179

THE RECTANGULAR HYPERBOLA	189

CHAPTER VII	199

ANHARMONIC RATIO	209

Tangent and normal	308

Cissoid of Diocles	309

Tangent and normal	310

Conchoid of Nicomedes	311

Witch of Agnesi	313

Tangent and normal	314

Common Catenaryunit being given	316

Tangent and normal	318

Common Catenaryvertex axis and point on curve ib 160 Common Catenarypoint of suspension tangent at that point and depth of loop	320

Common Catenaryaxis point and tangent at that point ib 162 Tractory or AntiFriction Curve	322

The Limaçon	324

The Cardioid Inverse Curves	328

The Lemniscate	329

To determine the point on a spherical mirror at which an incident ray shall be reflected in a given direction	331

To determine the point on a spherical mirror at which an incident ray shall be reflected to pass through a given point	333

Magnetic Curves	335

Equipotential Curves	337

17	340

The Cartesian Oval	341

Tangent and normal	347

Through a given point to draw a line meeting two given lines	348

Curves of Pursuit	355

SOLUTION OF EQUATIONS	359

To draw locus represented by sin 0+ sin pa	365

Tittel	Constructive Geometry of Plane Curves: With Numerous Examples
Forfatter	Thomas Henry Eagles
Utgiver	Macmillan and Company, 1885
Original fra	University of Virginia
Digitalisert	5. des 2008
Lengde	374 sider

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