page_title: Francesco Barozzi
section_title: Mathematics
hierarchical_section_title: Francesco Barozzi / Mathematics
caption_attribution_description: Italiano: Admirandum illud geometricum problema tredecim modis demonstratum. quod docet duas lineas in eodem plano designare, quae numquam inuicem coincidant, etiam si infinitum protrahantur: &amp; quanto longius producuntur, tanto sibi inuicem propriores euadant. Francisco Barocio ... autore. Accessit etiam instrumentum quoddam olim ab eodem inuentum, quo cuiuslibet conisortus, ac trium conicarum sectionum in plano descriptio sit. Cum indice locupletissimo .... - Venetiis&#160;: apud Gratiosum Perchacinum, sumptibus Io. Baptistae Fantini Patauini, 1586. - 269 [i.e. 273, 11] p.&#160;: ill.&#160;; 4º .
context_page_description: Francesco Barozzi was an Italian mathematician, astronomer and humanist.
context_section_description: Barozzi helped in the general reappraisal of the geometry of Euclid, and corresponded with numerous mathematicians, including the German Jesuit Christopher Clavius.  His original works include Cosmographia in quatuor libros distributa summo ordine, miraque facilitate, ac brevitate ad magnam Ptolemaei mathematicam constructionem, ad universamque astrologiam institutens (1585), which he dedicated to the Duke of Urbino.  This work concerns the cosmography and mathematical systems of Ptolemy.  Barozzi also discussed 13 ways of drawing a parallel line in his Admirandum illud geometricum problema tredecim modis demonstratum quod docet duas lineas in eodem plano designare, quae nunquam invicem coincidant, etiam si in infinitum protrahantur: et quanto longius producuntur, tanto sibiinuicem propiores euadant (1586).
  In his Opusculum: in quo una Oratio et due Questiones, altera de Certitude et altera de Medietate Mathematicarum continentur, Barozzi stressed that "the certitude of mathematics is contained in the syntactic rigor of demonstrations." Barozzi dedicated this work to Daniele Barbaro.
caption: Admirandum illud geometricum problema tredecim modis demonstratum, 1586
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