Questions: Dado el solido por sus vistas en diédrico, dibujar una vista cónica oblicua sabiendo que la altura del horizonte es de 4.5 cm, que el objeto está rotado de 30t con respecto al plano de cuadro y que el punto de vista dista 10 cm.

Solution Steps

The problem asks us to draw an oblique conical view of a solid given its orthographic views (front and top). We are given the horizon height (4.5 cm), the rotation of the object with respect to the picture plane (30°), and the distance of the viewpoint from the picture plane (10 cm). An oblique conical projection combines aspects of perspective and oblique projection, resulting in a view that appears more three-dimensional than a simple oblique projection.

• Horizon Line: Draw a horizontal line 4.5 cm above the bottom edge of the drawing area. This represents the horizon.

• Vanishing Point: Since the object is rotated 30° relative to the picture plane, the vanishing points for lines perpendicular to the picture plane will not lie on the horizon line. Instead, we imagine a central vanishing point (CVP) that would be used if the object was not rotated, located directly in front of the viewer. The actual vanishing points are constructed by considering the rotation and the distance to the CVP, which is 10 cm. The exact location of the vanishing points would depend on the specific geometry of the object (which direction is “forward” relative to the 30° rotation) and is not easily calculable with the current information. The location of the vanishing points isn’t specifically needed in the next steps of a graphical solution, but would be conceptually on a vertical line through the CVP, above and below the horizon.

• Draw the front view: Draw the front view of the object below the horizon line. This serves as the basis for the oblique view.

• Projecting Lines: In a conical projection, lines parallel to the picture plane remain parallel. Lines perpendicular to the picture plane converge towards a vanishing point. Due to the 30° rotation, any lines originally perpendicular to the picture plane in the orthographic view will now be inclined. These inclined lines will converge to vanishing points located off the horizon line. The exact angle and location depend on the 30° rotation axis.

• Depth: The depth of the object in the oblique view is typically represented by inclined lines drawn at a chosen angle. Since this is a _conical_ projection, the lengths of these inclined lines (representing depth) would reduce with distance, converging towards the vanishing point. A common oblique projection angle is 45°. The exact angle is not specified in this problem.

Since the prompt explicitly states _conical_ view, a geometrically accurate construction involving vanishing points (even off the horizon) would be required. Unfortunately, without a clearer image that shows which direction the 30° rotation is about, or without further numerical details, providing a completely accurate construction is difficult.

The process involves projecting the front view, establishing the depth lines based on the top view dimensions, and adjusting all lines to converge (eventually) at the appropriate vanishing point(s) to account for the 30° rotation and conical projection.

Final Answer