Ptolemy or optical factors and those caused by judgmental factors. He offered an obscure explanation of the sun or moon illusion (the enlarged apparent size on the horizon) based on the difficulty of looking upwards. There are several characters or items named after Ptolemy, including: [[File:Ptolemaeus - Quadripartitum, 1622 - 4658973.tif|thumb|"Quadripartitum", 1622]] [[Category:Ptolemy| ]] [[Category:100 births]] [[Category:170 deaths]] [[Category:1st-century Romans]] [[Category:2nd-century Romans]] [[Category:2nd-century philosophers]] [[Category:2nd-century poets]] [[Category:Egyptian calendar]] [[Category:Ancient Greek astrologers]] [[Category:Ancient Greek astronomers]] [[Category:Ancient Greek mathematicians]] [[Category:Ancient Greek music theorists]] [[Category:Astrological writers]] [[Category:Claudii]] [[Category:Egyptian astronomers]] [[Category:Egyptian mathematicians]] [[Category:Epigrammatists of the Greek Anthology]] [[Category:2nd-century people of Roman Egypt]] [[Category:Ancient Greek geographers]]
Ptolemy I of Tusculum the possessions of his grandfather the Consul Gregory. His power extended all the way to the Sabina. He held the port of Astura, taken from the Roman church. He was called the "dux et consul Romanorum" or "Duke and Consul of the Romans" and formally "prince of Latium." At this point, his son was also titled count and this younger Ptolemy was given in marriage to Bertha, illegitimate daughter of Henry. On 5 February 1105, after wars with Gaeta, Ptolemy had confirmed by a treaty the safety of the Gaetan traders in his domains. Now, the wars with Gaeta were