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which is to say, of unequal sides, which is called a trapezium by the Greeks, along with the three more notable stars of Cassiopeia itself: of which the first is in the breast or back, and is second in number; another is above the chair at the hips, fourth in number; the third is in the middle of the ascent of the chair, twelfth in number; and all are established to be of the third magnitude. Straight lines drawn from these, from the new to the second, and again from the fourth to the twelfth, divided the entire trapezium into two scalene triangles—that is, of unequal sides—as appears in the figure below. For the new star was found to be, by measurement of the radius, 4 degrees and 51 minutes distant from the fourth, and 5 degrees and 15 minutes distant from the twelfth. But the distance from the fourth to the twelfth, by the same observation, was found to be 6 degrees and 14 minutes, which is also what is found to be the case by calculation. Furthermore, so that there might be greater certainty and faith in our observations, it pleased us to also observe the distances of the remaining stars in Cassiopeia itself, and to compare them most diligently with those distances that can be had from calculation. I detected that they were in some places quite different, which, when it rendered my observations suspect, I repeated them until I knew for certain that mine were the truer ones.
A diagram depicts the constellation Cassiopeia with a quadrilateral divided into two triangles. The star labeled "Noua" is at one of the vertices. Numbers denoting degrees and minutes of arc are placed along the sides and within the triangles.