Throughout this dissertation I have dedicated attention towards axonometric methods and their use in high schools. In the first chapter I provided a general idea of axonometric projections and further enlisted and explained their various variants. I have shown the important concept which allows arbitrary selection when constructing the axial cross by proving the Pohlke’s theorem. This theorem allowed us to create all constructions. I have described how to construct an oblique projection of points, lineas, surfaces and some figures. An entire section of this dissertation is devoted to the proportional angles which help us to determine the oblique-axonometric constructions in a faster manner. I have also enlisted other types of axonometric projection (special oblique axonometric projection, oblique projection ) and using the cube as an example I showcased how different cases of \(p_x, p_y, p_z, \alpha\) and \(\beta\) give us natural or less natural pictures. In the fourth chapter I constructed several examples of intersections of surfaces and figures using oblique axonometric projection. Throughout this paper, I always started from simpler examples of intersections towards more complicated examples. I endeavoured to cover all of bodies, therefore I made intersections of prisms, pyramids, cones and cylinders with assigned planes. Fifth and last chapter of this paper I dedicated to constructive problems in high school mathematics. Through a couple of examples I showcased methods on how to construct intersections of bodies and planes in high school mathematics.