Edge stretch — where it appears
Wide angle is not distortion
A wide lens stretches shapes at the edge of the frame by exactly 1/cos θ — 3% at 28° across, 41% at 90°. Every bit of that is what a correct rectilinear projection must do, and every bit of it disappears if the picture is viewed from the point it was made for. Nobody views it from there.
When the picture surface is not flat
A flat picture plane keeps straight lines straight and stretches the edges without bound. A cylindrical one spreads the stretch evenly and bends every straight line that is not through the axis. Neither is the distorted one — they are answers to different questions, and the choice decides what a wide view can be.
Named alongside it
The objects these essays reach for when they reach for this one.
AnamorphosisBarrel distortionCylindrical projectionEquirectangularfield of viewFisheyeHorizonPanoramaPicture planePicture surfaceRectilinear projectionVanishing point