A five-mirror telescope, for forming an image of a scene in a focal plane with light rays that originate from said scene and are reflected successively and in order on a primary mirror, a secondary mirror, a tertiary mirror, a fourth mirror and then a fifth mirror of said telescope, the telescope having a symmetry plane, and each of the five mirrors having a respective reflecting surface at least a portion of which extends on either side of the symmetry plane while having a curved shape that is symmetrical with respect to said symmetry plane, the telescope being designed so that an axial light ray that enters said telescope while being superimposed on an optical axis (A-A) of said telescope propagates in said telescope up to the focal plane while consisting successively of, in a direction of propagation of said axial ray, an initial segment upstream of the primary mirror, a first intermediate segment between the primary mirror and the secondary mirror, a second intermediate segment between the secondary mirror and the tertiary mirror, a third intermediate segment between the tertiary mirror and the fourth mirror, a fourth intermediate segment between the fourth mirror and the fifth mirror, and an end segment between the fifth mirror and the focal plane, the mirrors being arranged so that, within the symmetry plane, the secondary mirror and the fourth mirror have respective sections in said symmetry plane that are located on a same first side of the initial segment of the axial ray, and the tertiary mirror and the fifth mirror have other respective sections also in said symmetry plane that are located on a same second side of the initial segment of the axial ray, opposite the first side within the symmetry plane, and the mirrors furthermore being arranged so that, also within the symmetry plane, the section of the secondary mirror is located upstream of the section of the fourth mirror, in a perpendicular projection of the sections of the mirrors onto the initial segment of the axial ray, and the section of the tertiary mirror is located upstream of the section of the fifth mirror, also in said perpendicular projection of the sections of the mirrors onto the initial segment of the axial ray, and the primary, secondary, tertiary mirrors and the fourth mirror being orientated so that, within the symmetry plane: - the second intermediate segment of the axial ray cuts the initial segment of said axial ray; - the third intermediate segment of the axial ray cuts the first intermediate segment of said axial ray; and - the fourth intermediate segment of the axial ray is located on a side of the third intermediate segment of said axial ray that is opposite the second intermediate segment of said axial ray. the telescope being designed so that an axial light ray that enters said telescope while being superimposed on an optical axis (A-A) of said telescope propagates in said telescope up to the focal plane while consisting successively of, in a direction of propagation of said axial ray, an initial segment upstream of the primary mirror, a first intermediate segment between the primary mirror and the secondary mirror, a second intermediate segment between the secondary mirror and the tertiary mirror, a third intermediate segment between the tertiary mirror and the fourth mirror, a fourth intermediate segment between the fourth mirror and the fifth mirror, and an end segment between the fifth mirror and the focal plane, the mirrors being arranged so that, within the symmetry plane, the secondary mirror and the fourth mirror have respective sections in said symmetry plane that are located on a same first side of the initial segment of the axial ray, and the tertiary mirror and the fifth mirror have other respective sections also in said symmetry plane that are located on a same second side of the initial segment of the axial ray, opposite the first side within the symmetry plane, and the mirrors furthermore being arranged so that, also within the symmetry plane, the section of the secondary mirror is located upstream of the section of the fourth mirror, in a perpendicular projection of the sections of the mirrors onto the initial segment of the axial ray, and the section of the tertiary mirror is located upstream of the section of the fifth mirror, also in said perpendicular projection of the sections of the mirrors onto the initial segment of the axial ray, and the primary, secondary, tertiary mirrors and the fourth mirror being orientated so that, within the symmetry plane: - the second intermediate segment of the axial ray cuts the initial segment of said axial ray; - the third intermediate segment of the axial ray cuts the first intermediate segment of said axial ray; and - the fourth intermediate segment of the axial ray is located on a side of the third intermediate segment of said axial ray that is opposite the second intermediate segment of said axial ray. - the second intermediate segment of the axial ray cuts the initial segment of said axial ray; - the third intermediate segment of the axial ray cuts the first intermediate segment of said axial ray; and - the fourth intermediate segment of the axial ray is located on a side of the third intermediate segment of said axial ray that is opposite the second intermediate segment of said axial ray.