Q: Who studied how points lines angles and planes relate to one another?

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If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.

Yes, adjacent angles do have common interior points.

If 2 points determine a line, then a line contains infinitely many planes.

4 planes.

Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.

Related questions

Euclid.

Euclid not Euripides

Shapes, angles, lines, points, and planes.

No.

adjacent planes

Usually they have 5 or six points and another 5 or 6 "shoulder" angles.

Not necessarily. Points may lie in different planes.

This is the definition for adjacent angles in geometry. Adjacent angles cannot overlap one another. Adjacent angles also have a common vertex.

If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.

Individual points on one side of the cube are coplanar. Points on one side might not nessasarily be coplanar with points on another side. The corners of a cube are exactly coplanar to three planes, but not all planes of the cube. In fact, no point on the cube is coplanar to all other points on the cube.

Yes, adjacent angles do have common interior points.

If 2 points determine a line, then a line contains infinitely many planes.