Geometry

Orthographic Projection Calculator

Calculate and visualize orthographic projection of 3D objects onto a 2D plane. Input 3D coordinates and projection plane normal vector for instant results.

Input Parameters

Enter coordinates of the 3D object points.

Define the orientation of the projection plane.

2D Projection Coordinates:

Visualization

What is Orthographic Projection?

Orthographic projection is a means of representing a three-dimensional object in two dimensions. It is a parallel projection, where all the projection lines are orthogonal to the projection plane. In simpler terms, it\'s like viewing an object from an infinite distance, so there's no perspective, and parallel lines remain parallel.

This type of projection is commonly used in engineering and technical drawings because it preserves measurements and shapes accurately. For example, in architecture, orthographic projections are used to create blueprints, showing top, front, and side views of a building.

To use this tool, input the 3D coordinates of your object and the normal vector of the plane onto which you want to project. The tool will then calculate and display the 2D projection, along with a visual representation on the canvas.

Frequently Asked Questions

What is the Orthographic Projection Calculator?
The Orthographic Projection Calculator is an online Geometry calculator. You enter your values, and it returns the answer with the steps shown so you can follow along.
How accurate is the Orthographic Projection Calculator?
The solver uses a math engine that avoids the floating-point rounding errors you get from most hardware calculators. For typical homework and professional calculations, the results will match what you would get by hand.
Can I use the Orthographic Projection Calculator for professional Geometry projects?
Yes. The math behind it is standard Geometry, so the results are reliable for professional use. That said, always double-check that your inputs are in the right format before relying on the output.
Why use the Orthographic Projection Calculator instead of calculating by hand?
Manual calculation is slow and error-prone, especially with multiple steps. This tool does the arithmetic for you and shows each step, so you can catch mistakes before they carry forward.
How do I format my inputs for the Orthographic Projection Calculator?
Type your numbers into the input fields. Leave out units and symbols unless a field specifically asks for them. The solver handles the rest.