The art of _cross-pricking_ may receive a being from this consideration. As every compleat peal of plain changes upon one number comprehends the compleat peals on all lesser numbers; so likewise every compleat _cross-peal_ must of necessity do the like, although their cross course permits it not to be done so regularly and demonstrably as the former. From whence may be inferr’d, that every note in a _cross-peal_ must of necessity lie as many times in one place, as the rest of the notes are capable of making changes; and also that two or more of the notes must jointly lie in the same places as many times, as the remaining number are also capable of making changes: this being a certain touchstone to prove all _cross-peals_ after they are prickt, and must be held as a principle on which to ground such methods of pricking, that the course of all the notes may demonstrably tend to produce those effects. And from hence it is, that the whole _hunt_ immediately derives the manner of its uniform motion through the courses of each peal. And the changes in every course are as so many guides to conduct the rest of the notes in such sort, that they may be prepared to lie at the last change of the course in apt places for each succeeding course to receive them, and to perform the like. Now as the changes in all the courses of a peal are made alike, except as before; so in the composing of _cross-peals_, by pricking of one course may soon be discovered, whether or no a compleat Peal will from thence arise. * * * * * _Cross Peals._ _The Twenty four, Doubles and Singles on four Bells._ This peal consists equally of _double_ and _single_ changes; one change is _double_, the next _single_, and so throughout. 1 is here the _hunt_, and 2.3.4 _extream_ bells. Every _double_ change is made on the two first and two last bells, and every _single_ on the two middle bells, except when the 1 leads, and then behind which is call’d _extream_. All the bells have a direct Hunting course up and down until 1 leads, and then the bell in the second place lyeth still, whilst the two hind-bells make a dodg; which being made, all the bells proceed again in their Hunting course. The three changes of (_a.b.c_) are the three _extream_ changes.