Treatise on Practical Solid Or Descriptive Geometry: Embracing Orthographic Projection and Perspective Or Radial Projection |
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A B C D angle required bisect construction cube cutting plane cylinder describe a circle diameter dihedral angle directing line distance draw the projections drawn perpendicular ellipse face A B C given angle given plane given point ground line height hence horizontal plane horizontal projection horizontal trace hyperbolas Lastly latus rectum line A B line in space line joining line of intersection line required lines drawn lines parallel meet minor axis original plane pentagon perspective projection plane containing plane L M N plane LOM plane of projection planes perpendicular Plate position produce projecting plane pyramid radial real length revolve right angles shadow solid angle sphere straight line surface surface of revolution tangent plane vanishing line vanishing point vertex vertical circle vertical co-ordinate plane vertical plane vertical projection vertical trace
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Page 16 - The inclination of a straight line to a plane is the acute angle contained by that straight line, and another drawn from the point in which the first line meets the plane, to the point in which a perpendicular to the plane drawn from any point of the first line above the plane, meets the same plane. VI. The inclination of a plane to a plane is the acute...
Page 22 - If a line is perpendicular to a plane the projections of the line are perpendicular to the traces of the plane, the plan to the horizontal trace and the elevation to the vertical trace.
Page 5 - ... coincides with its projection on that plane, and has its other projection in the ground line. See cd — c'd', the projections of cd, PI. I., Fig. 2. 9. Remark. A general principle, which it is important to be perfectly familiar with, is embodied in several of the preceding examples; viz. When any line is parallel to either plane of projection, its projection on that plane is equal and parallel to itself, and its projection on the other plane is parallel to the ground line. 10. The preceding...
Page 90 - The latus rectum is a third proportional to the major and minor axes. Let LL...
Page 1 - ... geometry is needed by many professional men, to enable them to represent solid objects on a plane surface, and hence its application to all the arts of construction, such as architecture, engineering, fortification, &c. To the artist, also, a knowledge of this subject is most important, as enabling him to draw in true perspective, cast the shadows of objects truly, and obtain the true position of the locus of greatest light on an object. The first part of this work treats on orthographic projection,...
Page 1 - ... Although many excellent works of this character exist in foreign languages, we have none of a really useful character published in English. A thorough knowledge of the principles of descriptive geometry is needed by many professional men, to enable them to represent solid objects on a plane surface, and hence its application to all the arts of construction, such as architecture, engineering, fortification, &c. To the artist, also, a knowledge of this subject is most important, as enabling him...
Page 59 - VISION is THE VANISHING POINT OF ALL LINES PERPENDICULAR TO THE PLANE OF THE PICTURE, so THE POINTS OF DISTANCE ARE THE MEASURING POINTS OF ALL SUCH LINES.
Page 22 - ... on orthographic projection, and is divided into six chapters as follows : — I. Definitions, &c. ; Projections of Points and Lines. II. On Straight Lines and Planes. III. The Five Regular Solids, viz., the Tetrahedron, the Cube, the Octohedron, the Dodecahedron, and the Icosahedron. IV. Consists of Examples and Problems illustrating the principles of construction contained in the preceding chapters. V. On Section Planes and the Intersections of Solids. VI. On Tangent Planes and Surfaces in Contact....
Page 76 - Ordinates being supposed lo be drawn to this diameter of the circle, their projections will be perpendicular to the projection of the diameter, and have to the ordinates themselves the ratio of the cosine of angle of projection to radius, which...