Ponto Médio 3D

((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Mₓ
3,00
M_y
4,00
M_z
5,00

Formula

médio 3D

About this calculator

This calculator finds the midpoint between two points in three-dimensional space. The midpoint is the point that divides the line segment connecting the two points into two equal parts. To calculate, simply enter the X, Y, and Z coordinates of each point. The result is displayed in real time, making it easy to visualize the central point. The tool is useful for geometry students and professionals working with 3D modeling.

The 3D midpoint calculation is simple: for each coordinate, add the value from the first point to the second and divide by two. The formula is: M = ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2). For example, if points are A(1,2,3) and B(5,6,7), the midpoint is (3,4,5). The calculator automates this process, avoiding manual errors and saving time.

You can use this calculator in various situations: to find the center of a segment in engineering projects, in computer graphics, or in physics problems involving points in space. It is also useful in mathematics when studying vectors or geometric properties. The result can be copied directly for use in other calculations.

Be careful when entering coordinates: ensure values are correct and in numeric format (use dot for decimals). The calculator does not validate if points are identical, but this does not affect the calculation. Remember that the midpoint is only defined for line segments; for curves, the concept differs. Use the tool as support, but always verify results in critical contexts.

Frequently asked questions

What is the 3D midpoint?

It is the point exactly halfway along the line segment connecting two points in three-dimensional space, calculated by averaging the coordinates.

How to calculate the midpoint manually?

Add the X coordinates of the two points and divide by 2, do the same for Y and Z. The result is the midpoint.

Can I use this calculator for 2D points?

Yes, just enter 0 for the Z coordinate of both points, or repeat the same value. The calculation will be correct for the plane.

Is the midpoint always unique?

Yes, for two distinct points, there is only one midpoint. If the points are identical, the midpoint is the point itself.

Does this calculator work with decimal numbers?

Yes, it accepts decimal numbers using a dot as separator. Example: 1.5.

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