Note.

1. This is propounded only for Horizontal plains, but it may without difficulty be applyed to any other direct plain. The trouble that is, comes by reason that the foresaid plains have a different elevation of the Pole, from that elevation that belongs to the Horizon or place where they are to stand: and consequently there will be required two new Tables for that elevation which is proper to the plain; the calculation of which will easily be done by the two former proportions set down for that end. Note further that by these two Tables you may prick down an Ellipsis upon any leaning (not up∣right) plain whatsoever. But the Index must then lie in the Zenith line of the place, (not of the plain) and the Ellipsis (or Index) must move in the Meridian of the place (not of the plain) and the Zodiac must be like or proportional to the Zodiac of the Horizon, but augmented, for the most part, in this proportion.

Page  33As the Radius, To the Secant of that angle that the Meridian line (upon the plain) makes with the Horizon; (which angle must be gott•n by a Clinatorie;)

So the Radius of the Horizontal Zodiac, (which is the Co-sine of the Latitude,) To the Radius of the Zodiac proper to the plain: which Zodiac must be set according to the line of 12 upon the plain.

2. This way of delineation may likewise be applyed to all other plains which decline, and are not direct. But in these will be found more difficulty then in the former plains which declined not, unlesse it be required to put in the houres that are proper to the plain; for in that case the work is the same which was in them. But if the houres of the place are to be inscribed, as most usually they are, then there will be some trouble, by reason that the difference of the plains Lon∣gitude seldome falls upon any just houre. I purpose not here to shew the way, it being such as will prove un-pleasant to the unskilfull, and such as have knowledge will finde it out quickly. Perhaps the pleasure of the thing done, will recompense their labour.