Descriptive Geometry

, by Pare, E.G.; Loving, Robert Olin; Hill, Ivan L.; Pare, R.C.

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ISBN: 9780023913419 | 002391341X
Cover: Hardcover
Copyright: 9/3/1996

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In this book the author has fulfilled the need for a descriptive geometry textbook in which the fundamentals are presented in the same pedagogically sound units of work, as they are usually introduced in daily presentation.

Preface

Orthographic Projection

(19)

Graphic Solutions

(1)

Descriptive Geometry

(1)

Projections

(1)

Perspective Projection

(1)

Orthographic Projection

(2)

Multiview Drawing

(1)

First-Angle Projection

(1)

Third-Angle Projection

(2)

Visualization

(1)

Folding Lines

(2)

Views of a Point

(1)

Views of a Line

(1)

Visibility

(1)

Problem Layouts

(2)

Scale

(4)

Problems

(1)

Self-Testing Problems

(1)

Primary Auxillary Views

(14)

Views Projected from the Top View

(2)

Views Projected from the Front View

(3)

Views Projected from the Side View

(1)

Normal View of a Plane with Edge View Given

(5)

Plotting a Curve by Projection

(4)

Problems

(2)

Self-Testing Problems

(1)

Lines

(22)

True Length of a Line

(1)

Principle Lines

(3)

True Length of an Oblique Line

(4)

Bearing, Slope, and Grade

(3)

Points on Lines

(12)

Problems

(2)

Special Situation Problems

(2)

Computer Graphic Problem

(1)

Self-Testing Problems

(2)

Planes

(10)

Representation of Planes

(1)

Points and Lines in Planes

(1)

Lines in Planes

(1)

Principal Lines in Planes

(1)

Locus

(1)

Space Analysis

(2)

Pictorial Intersections

(5)

Problems

(1)

Self-Testing Problems

(2)

Successive Auxillary Views

(18)

Construction of Successive Auxiliary Views

(1)

Point View of a Line

(3)

Edge View of a Plane

(2)

Normal View of a Plane

(11)

Problems

(2)

Special Situation Problems

(3)

Self-Testing Problems

(1)

Piercing Points

(12)

Piercing Points-Auxiliary-view method

(1)

Piercing Point-Two-view method

(3)

Pictorial Intersection of Line and Plane

(8)

Problems

(2)

Special Situation Problems

(1)

Computer Graphic Problems

(1)

Self-Testing Problems

(2)

Intersection of Planes

(11)

Intersection of Two Planes-Auxiliary-View Method

(1)

Intersection of Two Planes-Two-Views, Piercing-Point Method

(1)

Intersection of Two Planes-Cutting-Plane Method

(2)

Pictorial Intersection of Planes

100

(7)

Problems

102

(1)

Special Situation Problems

103

(1)

Computer Graphics Problems

104

(1)

Self-Testing Problems

105

(2)

Angle Between Planes

107

(10)

Dihedral Angle-Line of Intersection given

108

(1)

Dihedral Angle-Line of Intersection not given

109

(2)

Angle Between Oblique Plane and Principle Plane

111

(6)

Problems

112

(2)

Special Situation Problems

114

(2)

Self-Testing Problems

116

(1)

Parallelism

117

(12)

Parallel Lines

117

(2)

Parallel Planes

119

(1)

Lines Parallel To Planes: Planes Parallel to Lines

120

(1)

Parallel Pictorial Lines

121

(1)

Construction of Parallel Pictorial Lines

122

(1)

Parallel Pictorial Planes

122

(7)

Problems

125

(1)

Computer Graphics Problems

126

(1)

Self-Testing Problems

127

(2)

Perpendicularity

129

(20)

Perpendicular Lines

129

(2)

Plane Perpendicular to Line

131

(3)

Line Perpendicular to a Plane

134

(1)

Common Perpendicular-Point-View Method

135

(1)

Common Perpendicular-Plane Method

136

(2)

Shortest Horizontal Line Connecting two Skew Lines

138

(1)

Shortest Line at Specified Grade Connecting two Skew Lines

139

(1)

Projection of a Line on a Plane

140

(9)

Problems

142

(3)

Special Situation Problems

145

(2)

Computer Graphics Problems

147

(1)

Self-Testing Problems

148

(1)

Angle Between Line and Oblique Plane

149

(9)

Angle Between Line and Plane-Plane Method

149

(3)

Angle Between Line and Plane-Line Method

Ange Between Line and Plane-Complementary-Angle Method

152

(6)

Problems

154

(1)

Special Situation Problems

155

(2)

Self-Testing Problems

157

(1)

Mining and Civil Engineering Problems

158

(17)

Horizontal Projection

159

(1)

Topographic Map

159

(2)

Preparation of Contour Map using Grid Survey

161

(1)

Mining and Geology

162

(1)

Strike, Dip, Thickness, Outcrop

163

(2)

Cut and Fill or Dump Lines

165

(10)

Problems

167

(4)

Special Situation Problems

171

(2)

Computer Graphics Problems

173

(1)

Self-Testing Problems

174

(1)

Revolution

175

(17)

Revolution of a Point

175

(1)

Revolution of a Line

176

(1)

True Length by Revolution

177

(2)

Examples of Converse Problems

179

(1)

Angle Between Line and Oblique Plane by Revolution

180

(1)

Normal View of a Plane by Revolution

181

(1)

Revolution of a Solid

181

(1)

Establishing a Line at Given Angles with two Principal Planes

182

(10)

Problems

186

(3)

Special Situation Problems

189

(2)

Self-Testing Problems

191

(1)

Vectors

192

(20)

Definition of Terms

192

(1)

Resultant of Concurrent Coplanar Vectors

193

(2)

Resolution of a Vector into Concurrent Coplanar Components

195

(1)

Nonconcurrent Coplanar Vectors

196

(1)

Beams and Trusses

197

(2)

Resultant of Concurrent Noncoplanar Vectors

199

(1)

Resolution of a Vector into Concurrent Noncoplanar Components

200

(2)

Other Vector Problems

202

(1)

Velocity Vectors

202

(1)

Relative Motion

203

(9)

Problems

205

(3)

Special Situation Problems

208

(1)

Computer Graphics Problems

209

(1)

Self-Testing Problems

210

(2)

Plane Tangencies

212

(21)

Lines Tangent to Curved Surfaces

212

(1)

Plane Tangent to a Cone and Containing a Given Point on the Surface of the Cone

213

(1)

Plane Tangent to a Cone and Containing a Given Point Outside the Surface of the Cone

214

(1)

Plane Tangent to a Cone and Parallel to a Given Line

215

(1)

Plane Tangent to a Cylinder and Containing a Given Point on the Surface of the Cylinder

215

(1)

Plane Tangent to a Cylinder and Containing a Point Outside the Cylinder

215

(1)

Plane Tangent to a Cylinder and Parallel to a Line Outside the Cylinder

216

(1)

Plane Tangent to a Sphere Through a Point on the Surface of the Sphere

217

(1)

Plane Tangent to a Sphere and Containing a Given Line-Line not Intersecting the Sphere

218

(1)

Plane Tangent to a Torus at a Given Point on its Surface

219

(1)

Application of the Tangent Plane-Representation of a Plane Containing a Given Line and Making a Specified Angle with a Given Plane

219

(3)

Pictorial Solution of a Plane Tangent to a Cone and Containing a Point Outside the Surface of the Cone

222

(1)

Pictorial Solution of a Plane Tangent to a Cone and Parallel to a Given Line

222

(3)

Pictorial Solution of a Plane Tangent to a Cylinder and Containing an Outside Point

225

(8)

Problems

227

(2)

Special Situation Problems

229

(2)

Self-Testing Problems

231

(2)

Intersections of Planes with Solids

233

(15)

Intersection of Plane and Pyramid

233

(1)

Intersection of Plane and Oblique Cone

234

(1)

Intersection of Plane and Right Circular Cone

235

(1)

Intersection of Plane and Prism

236

(1)

Intersection of Plane and Cylinder

236

(1)

Intersection of Plane and Torus

237

(2)

Representation of Fair Surfaces

239

(1)

Intersection of Windshield and Aircraft Fuselage

239

(2)

Pictorial Intersection of Plane and Cylinder

241

(7)

Problems

243

(1)

Special Situation Problems

244

(2)

Self-Testing Problems

246

(2)

Developments

248

(28)

Radial-Line Developments

250

(1)

Radial-Line Development-Pyramid

250

(1)

Radial-Line Development-Truncated Pyramid

251

(1)

Radial-Line Development-Right Circular Cone

252

(1)

Radial-Line Development-Oblique Cone

253

(1)

Parallel-Line Developments

254

(1)

Parallel-Line Development-Truncated Right Prism

255

(1)

Parallel-Line Development-Oblique Prism

256

(1)

Parallel-Line Development-Right Circular Cylinder

257

(1)

Parallel-Line Development-Oblique Cylinder

258

(1)

Special Application of Cylinder Development

259

(1)

Triangulation

260

(1)

Warped and Double-Curved Surfaces-Approximate Development

261

(15)

Problems

268

(4)

Special Situation Problems

272

(2)

Self-Testing Problems

274

(2)

Intersections of Surfaces

276

(27)

Intersection of Prisms-Edge Views Given

277

(1)

Intersection of Prism and Pyramid-Auxiliary-View Method

278

(1)

Intersection of Two Prisms-Two-View Method

279

(1)

Intersection of Prism and Cone

279

(2)

Intersection of Right Circular Cylinders

281

(1)

Intersection-Right Cylinder and Cone

282

(1)

Intersection of Surfaces-Sphere Method

283

(2)

Planes Cutting Elements from Oblique Cones and Cylinders

285

(2)

Intersection of Oblique Cone and Cylinder

287

(3)

Intersection of Two-Oblique Cones-Bases in Same Plane

290

(1)

Intersection of Two Cones-Bases in Nonparallel Planes

291

(1)

Intersections of Oblique Cylinders-Bases in Same Plane

292

(1)

Line Tangent to Curve of Intersection

293

(10)

Problems

295

(4)

Special Situation Problems

299

(2)

Self-Testing Problems

301

(2)

Shades and Shadows

303

(15)

Shade, Shadow, and Umbra

304

(1)

Light Source and Direction

304

(1)

Shadow of a Prism

304

(2)

Shade and Shadow of a Pyramid and Wall

306

(1)

Shade and Shadow of Object Composed of Cylinders

306

(1)

Shade and Shadow of Cone and Prism

307

(1)

Shade and Shadow of Shelf and Support

307

(1)

Shadow of Chimney on Inclined Roof Planes

308

(1)

Pictorial Shade and Shadow

309

(1)

Isometric Shade and Shadow

310

(1)

Shadow on a Cylindrical Surface

311

(7)

Problems

313

(1)

Computer Graphics Problems

314

(1)

Self-Testing Problems

315

(3)

Perspective Projection

318

(18)

Perspective or Central Projection

318

(1)

Perspective Construction by Multiview Projection or Piercing Points

319

(2)

Two-Point and One-Point Perspectives

321

(1)

Construction for Vanishing Points

321

(1)

Construction of a Two-Point Perspective

322

(2)

Construction of a One-Point Perspective

324

(1)

Curves in Perspective

324

(2)

Three-Point Perspective

326

(2)

Perspective Intersection

328

(1)

Perspective Shade and Shadow

329

(7)

Problems

331

(2)

Self-Testing Problems

333

(3)

Conics

336

(6)

The Ellipse

336

(1)

The Parabola

337

(1)

The Hyperbola

338

(4)

Problems

340

(1)

Self-Testing Problems

341

(1)

Map Projection

342

(10)

Representation of Earth's Surface

343

(1)

Projection on a Tangent Plane

343

(2)

Projection on a Cone

345

(2)

Cylindrical Projection

347

(5)

Problems

349

(1)

Special Situation Problems

350

(1)

Self-Testing Problems

351

(1)

Spherical Triangles

352

(11)

Solution of Spherical Triangle, Three Sides Given

353

(1)

Solution of Spherical Triangle, Two Sides and Included Angle Given

354

(1)

Solution of Spherical Triangle, Three Angles Given-Polar-Triangle Method

355

(2)

Navigation Problem

357

(6)

Problems

360

(1)

Special Situation Problem

361

(1)

Self-Testing Problem

362

(1)

Review

363

(18)

Construction of Additional Views

363

(3)

The Four Fundamental Uses of Views

366

(1)

Projective and NonProjective Properties

367

(1)

Example Problems

367

(14)

Problems

373

(4)

Self-Testing Problems

377

(4)

Computer Graphics Projects

381

(68)

Computer Graphics Solutions to Descriptive Geometry Problems

381

(1)

Fortran Programs with Computer Graphics

382

(1)

Basic Programs with Computer Graphics

382

(2)

Fortran Program Projects

384

(21)

Basic Program Project

405

(2)

Appendices

A Graphical Accuracy

407

(5)

B Geometric Constructions

412

(7)

C Classification of Geometric Forms

419

(6)

D Solutions of Self-Testing Problems

425

(24)

Index

449

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Descriptive Geometry

Summary

Table of Contents

Supplemental Materials