Oly pontok keresendók, melyek egy az első képsíkra merőlegesen álló egyenestől $m$, egy megadott ponttól $n$ és adott síktól $p$ távolságra vannak.

Points are sought which are at a distance $m$ from a line perpendicular to the first image plane, at a distance $n$ from a given point, and at a distance $p$ from a given plane.
Let the given line be $a$, the point $A$, and the plane $s$. - The sought points lie on three geometric places in space, namely (a) on the surface of the cylinder whose axis is $a$ and the radius of its base circle is $m$; (b) on the surface of the sphere whose center is $A$ and radius is $n$; and (c) on the planes, each of which is parallel to $s$ at a distance of $p$.

Each of these two planes generally intersects the cylinder in an ellipse, whose first projection is a circle (the base circle of the cylinder) and the sphere in a circle, whose first projection is an ellipse. The points of intersection of these two intersection lines correspond to the conditions. The first projections of these points are the points of intersection of the circle (the base circle of the cylinder) and the ellipse (the first projection of the spherical circle).

According to this, the number of possible cases is at most 8.

(Miksa Lengyel, Pécs.)

The problem was also solved by: N. Ehrenfeld and L. Szántó.