Dialexis de novae et prius incognitae stellae inusitatae magnitudinis & splendidissimi luminis apparitione, & de eiusdem stellae vero loco constituendo ... (1574) - Page 16

In these, a difference of 5 or 3 minutes can be tolerated. But he removes the new from the fourth by 5 degrees and 20 minutes; we by at least 4 degrees and 51 minutes; the difference is 29 minutes. That our observation is truer is confirmed by frequent experience, and even by the reasoning which is taken from the consideration of particular distances collected into one—namely, that of the new from the eleventh, and of this one again from the fourth. Since these three stars are not in the same straight line, or do not fall on the same arc of a great circle (according to which their intervals ought to be taken), but constitute a triangle among themselves, the distance of the new from the fourth, along the shortest line, or that arc of a great circle drawn through those stars, will be less than that distance which will be collected from those particular and curved distances. The distance of the new from the eleventh is 1 degree and 24 minutes. The distance of the eleventh from the fourth is 3 degrees and 46 minutes, which joined together make 5 degrees and 10 minutes as the curved distance of the new from the fourth. But Munnozius places that at 5 degrees and 20 minutes, greater than this, which ought to have been much smaller.

Again, he places the gap of the new star from the Cynosura at 26 degrees and 40 minutes, whereas a greater distance than 25 degrees and 30 minutes could not be detected by me. The distance of the eleventh from the Cynosura was observed at 26 degrees and 34 minutes, although calculation shows the same to be 25 degrees and 49 minutes. But not correctly: for it was necessary for the distance of the eleventh from the polar to be perpetually greater than that of the new, as it was always closer to it, while the eleventh was further away. If, therefore, the elongation of the new from the Cynosura were true, it would have to be further away than the eleventh, to which