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pared with the best modern catalogues, his
                                                                             ˆ
                                         probable error in right ascension is only A l
                                                                     ˆ
                                         24”, 1, and in declination only A l 25”, 9.
                                            Clocks of a sort had been made, but Ty-
                                         cho Brahe found them so unreliable that he
                                         seldom used them, and many of his position-
                                         measurements were made by measuring the
                                         angular distances from known stars.
                                            Taking into consideration the absence
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