the Meridian, and then the shade of the Extuberancy (i. e. that made by the swelling or bellying out of the Globe) will touch the true degree in the Quadrant of Altitude reckoning from the Ze∣nith to it. And thus you will find not only the Sun's height, sooner perchance than by any ordinary Quadrant, but will still have it before your eyes as long as you please, nothing being to be fur∣ther done, but to move sometimes the Globe that the shade of the said Pin may still concur with the Meridian. But if your Globe be fix'd, (or that for some particular reason, you have no mind to stir it at all, draw your string from the Zenith, through the shade of its Pin, i. e. lay the string in the Plane of the Sun, and then if you mount your Bead till it reaches the nearest part of the shade of Extuberancy, it will (by bring∣ing it to the Meridian or Quadrant of Altitude) lye on the true Degree, reckoning (as before) from the Zenith to it.
The Reason of the Operation is this; The Sun when he rises brushes the Zenith and Nadir of the Globe with his Rayes, for he illuminates alwayes (within some few Minutes) just half of it, therefore when he gets (v. g.) a Degree higher, he must needs illuminate a Degree beyond the Zenith, and so proporti∣onably from time to time, or else he would sensibly illuminate more or less of the Globe at one moment than at another, which is absurd. Now since the Sun in truth illuminates more than an Hemispere, the Reader must remember that Ptolomy rec∣kons this excess (take one time with another) to be about 26 minutes, and Tycho something less, therefore substract 13 mi∣nutes (or half the said Excess) from what the shade of Extube∣rancy mark's, and you have his Height with all ordinary Exact∣ness: but should you chance at any time to doubt how far the said Shade of Extuberancy (which is not so discernable as that made by a Gnomon) just reaches, erect then a piece of stick, straw, quill, &c. or, if you please, rest your Finger on the Globe, between the Sun and the point in dispute, and where the shade of your Finger, straw, stick or quill is lost, that will be the true Term of the shade.
As for the Second Way (for both the former we reckon but one) turn the Meridian of your Globe to the Sun as before, or because we suppose him not to shine out-right, direct by your Eye the said Meridian, so that it lye in the same Plain with him, and this you may do in a manner as well (if you have the