Elements of Descriptive Geometry: With Its Applications to Spherical Projections, Shades and Shadows, Perspective and Isometric Projections |
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Common terms and phrases
Analysis auxiliary plane axes bisecting centre circumference cone curve of intersection curve of shadow determined diameter dicular diedral angle directrices edge ellipse equal equator face generatrix given line given point given right line ground line hence hori horizontal plane horizontal projection horizontal trace hyperbola hyperboloid isometric projection joining Let MN line parallel line pierces meridian curve meridian plane orthographic projection pass a plane perpen pierces H pierces the horizontal pierces the plane plane be passed plane directer plane intersects plane of projection plane of rays plane perpendicular plane tangent point of contact point of sight polar distance primitive circle primitive plane projecting plane radius ray of light rectilinear elements required curve required plane required point Revolve this plane revolved position shadow cast single curved surface sphere surface of revolution tangent plane true position upper base vanishing point vertex vertical plane vertical projection vertical trace warped surface
Popular passages
Page 1 - The solution of problems relating to these magnitude* in space. These drawings are so made as to present to the eye, situated at a particular point, the same appearance as the magnitude or object itself, were it placed in the proper position. The representations thus made are the projections of the magnitude or object. The planes upon which these projections are usually made are the planes of projection. The point, at which the eye is situated, is the point of sight.
Page 35 - F'. These points will be the foci, for DF + DF' = 2CV = VV. IV. The hyperbola, which may be generated by moving a point lu the same plane, so that the difference of its distances from two fixed points shall be equal to a given line. The two fixed points are the foci.
Page 55 - ... one of these meridian lines about the axis. 97- If two surfaces of revolution having a common axis intersect, the line of intersection must be the circumference of a circle whose plane is perpendicular to the axis and center in the axis.
Page 78 - ... PLANES TO DOUBLE CURVED SURFACES. 144. These problems are, in general, solved either by a direct application of the rule in Art. (108), taking care to intersect the surface by planes, so as to obtain the two simplest curves of the surface intersecting at the point of contact, or by means of more simple auxiliary surfaces tangent to the given surface.
Page 6 - If the right line be perpendicular to either plane of projection, its projection on that plane will be a point, and its projection on the other plane will be perpendicular to the ground line.