Descriptive Geometry

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

• ISBN13: 9780023913419
• ISBN10: 002391341X
• Edition: 9th
• Format: Hardcover
• Copyright: 1996-09-03
• Publisher: Peachpit Pr

Summary

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.

Table of Contents

Preface	xv
Orthographic Projection	1	(19)
Graphic Solutions	1	(1)
Descriptive Geometry	2	(1)
Projections	2	(1)
Perspective Projection	3	(1)
Orthographic Projection	3	(2)
Multiview Drawing	5	(1)
First-Angle Projection	5	(1)
Third-Angle Projection	6	(2)
Visualization	8	(1)
Folding Lines	9	(2)
Views of a Point	11	(1)
Views of a Line	12	(1)
Visibility	13	(1)
Problem Layouts	14	(2)
Scale	16	(4)
Problems	18	(1)
Self-Testing Problems	19	(1)
Primary Auxillary Views	20	(14)
Views Projected from the Top View	20	(2)
Views Projected from the Front View	22	(3)
Views Projected from the Side View	25	(1)
Normal View of a Plane with Edge View Given	25	(5)
Plotting a Curve by Projection	30	(4)
Problems	31	(2)
Self-Testing Problems	33	(1)
Lines	34	(22)
True Length of a Line	34	(1)
Principle Lines	34	(3)
True Length of an Oblique Line	37	(4)
Bearing, Slope, and Grade	41	(3)
Points on Lines	44	(12)
Problems	49	(2)
Special Situation Problems	51	(2)
Computer Graphic Problem	53	(1)
Self-Testing Problems	54	(2)
Planes	56	(10)
Representation of Planes	56	(1)
Points and Lines in Planes	57	(1)
Lines in Planes	58	(1)
Principal Lines in Planes	58	(1)
Locus	59	(1)
Space Analysis	59	(2)
Pictorial Intersections	61	(5)
Problems	63	(1)
Self-Testing Problems	64	(2)
Successive Auxillary Views	66	(18)
Construction of Successive Auxiliary Views	67	(1)
Point View of a Line	68	(3)
Edge View of a Plane	71	(2)
Normal View of a Plane	73	(11)
Problems	78	(2)
Special Situation Problems	80	(3)
Self-Testing Problems	83	(1)
Piercing Points	84	(12)
Piercing Points-Auxiliary-view method	84	(1)
Piercing Point-Two-view method	85	(3)
Pictorial Intersection of Line and Plane	88	(8)
Problems	90	(2)
Special Situation Problems	92	(1)
Computer Graphic Problems	93	(1)
Self-Testing Problems	94	(2)
Intersection of Planes	96	(11)
Intersection of Two Planes-Auxiliary-View Method	96	(1)
Intersection of Two Planes-Two-Views, Piercing-Point Method	97	(1)
Intersection of Two Planes-Cutting-Plane Method	98	(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