The mathematical CV of Johann König, before the arrival in Coimbra and in the college has some revealing aspects: the role of the ‘studium privatum’ in the personal / individual mathematical education of Jesuits; the at least official confirmation of the anti-Copernican cosmology; in Coimbra the production of manuscript didactical texts on mathematical matters and the absence of a printed process of the same; the acquisition of rather up-to-date books and instruments (1661; 1665; 1674) and the role of England in it; the role of the ‘Caza da Fazenda’; the production of a mainly ‘figurative’ (pictorial) ‘map’ of Portuguese places (“plantas”) acc. to the rules of perspective.