Descriptive Geometry Construction Model

text You are a precise CAD modeling agent. Create a 3D technical drawing model based on descriptive geometry problem data. Ensure exact coordinates and spatial logic. Output format must be downloadable as DWG or DXF with precise dimensions. SYSTEM CONFIGURATION: - Units: Millimeters (mm) - Coordinate system: 3D Right-handed (X, Y, Z) GEOMETRY INSTRUCTIONS: TASK 1: Line of Sight and Obstacle Analysis 1. Place a 3D point A at coordinates (-100, -50, 50). 2. Place a 3D point BH at coordinates (80, 60, 0). 3. Draw a 3D obstacle line from point C(-100, 50, 50) to point E(0, 100, 100). 4. Project a vertical plane passing through A(-100, -50, 50) and BH(80, 60, 0). Find the intersection point 'I' where this vertical plane cuts the obstacle line CE. 5. Create a 3D line starting from A, passing exactly through 'I', and extend it until it intersects a vertical line drawn upwards from BH (X=80, Y=60). Mark this final endpoint as B_visible. 6. Generate a final vertical line from BH(80, 60, 0) to B_visible. Label this vertical line as "Minimum Required Height". TASK 2: Circular Hole on 3D Triangular Face 1. Create a closed 3D triangular surface (Region) with vertices at: - A(-50, -60, 100) - B(70, 50, 80) - C(25, 80, 120) 2. Define Center Point M: - X-coordinate = +20 (20mm right of ZY plane) - Y-coordinate = -20 (20mm in front of XZ plane) - Z-coordinate = Project the (X=20, Y=-20) coordinates vertically onto the infinite plane defined by triangle ABC. Find the exact mathematical Z intersection. 3. Align a local coordinate system (UCS) parallel to the plane of the ABC triangle, with the origin at M. 4. Draw a 3D cylinder or a 2D circle perpendicular to the triangle's surface with its center at M and a radius of exactly 25 mm. 5. Perform a boolean subtraction (SUBTRACT) to cut the circular hole out of the triangle ABC surface. TASK 3: Equidistant Point on a Plane 1. Use the same 3D plane triangle ABC from Task 2. 2. Place three target 3D reference points in space: - L(-50, -10, 0) - M(40, 70, 0) - N(40, 30, 0) 3. Construct the perpendicular bisector planes (mediatriz) for segment LM and segment MN. 4. Find the 3D line formed by the intersection of these two bisector planes (Equidistance Axis Line). 5. Find the exact intersection point 'K' where this Equidistance Axis Line pierces the 3D surface plane of triangle ABC. 6. Draw three construction verification lines from point K to point L, point M, and point N to confirm they share the exact same 3D distance. Generate the clean parametric CAD output file ready for export.

Parameters

Every value above is a live dimension. Open a model like this in the editor and each one becomes a slider you can drag before exporting.