Page:Mathematical collections and translations, in two tomes - Salusbury (1661).djvu/309

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282
G. Galilæus, his Systeme.

Here we see also, (as I have noted even now) that should the Authour consent to assign the distance of 32. Semidiameters for the true height of the Star, the correction of those his 10. workings, (I say 10. because the second being very high, is reduced to the height of 32. Semidiameters, with 2. minutes correction) to make them all to restore the said Star to that distance, would require such a reduction of Parallaxes, that amongst the whole number of substractions they should make more than 756 m. pr. whereas in the 5. calculated by me, which do place the Star above the Moon, to correct them in such sort, as to constitute it in the Firmament, the correction onely of 10. minutes, and one fourth sufficeth.

Now adde to these, other 5. workings, that place the Star precisely in the Firmament, without need of any correction at all, and we shall have ten workings or indagations that agree to place it in the Firmament, with the correction onely of 5. of them (as hath been seen) but 10. m. and 15 sec. Whereas for the correction of those 10. of the Authour, to reduce them to the altitude of 32. semidiameters, there will need the emendations of 756 minutes in 836. that is, there must from the summe 836 be substracted 756. if you would have the Star elevated to the altitude of 32. semidiameters, and yet that correction doth not fully serve.

The workings that immediately without any correction free the Star from Parallaxes, and therefore place it in the Firmament, and that also in the remotest parts of it, and in a word, as high as the Pole it self, are these 5. noted here.

	 	gr.	m.	 	gr.	m. Camerar.	Polar altit.	52	24	Altit. of the Star	80	26 Peucerus	51	54	79	56 	 	0	30	 	0	30 	 	gr.	m.	 	gr.	m. Landgrav.	Polar altit.	51	18	Altit. of the Star	79	30 Hainzel.	48	22	76	34 	 	2	56	 	2	56 	 	gr.	m.	 	gr.	m. Tycho	Polar altit.	55	58	Altit. of the Star	84	00 Peucerus	51	54	79	56 	 	4	4	 	4	4Reinold.