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And because the Radices Roots of your inquiry, even if you placed them according to their order, would not occupy all the closed channels of the orbit itself: indeed, in any work, the last two would always lack Roots. Therefore, the first two are to be held there. Thus, the first Root written in the middle of the channel is to be placed in the last place of the orbit. The second Root, namely that one drawn in the middle of the Brachia Arms or Branches, is to be placed in the other empty small channel, as will be clear in the following examples.

The cause of this repetition, as well as the reason for the other things placed there, will be understood in its proper place, as I said above. However, do not believe that their repeated position generates a doubling or a superfluous effect. For where the right semicircle, which receives the power of the first two Articuli Articles or points, nevertheless repels the furthest ones in the work: just as, conversely, if you inserted these into the left semicircle, they do not diminish the higher ones. But let us return to the Brachia Arms, as the order requires us to teach the form of inscribing numbers in them.

Therefore, after the writing of the Roots, mark the Brancae Branches with numbers thus: To decorate the right Branch with numbers, take the first Root already placed before the line of the channel. Compare it in the usual manner with the numbers conceived from the angles written in the right Rhomboides Rhomboid-shaped grid on the outside—specifically on the right part of it—starting from the first outer cell placed after the upper Angle. Then, compare that same first Root with the remaining exterior numbers, proceeding to the middle of the Rhomboid or the extreme Angle. Then, reversing the order, you will elicit the differentia difference from the first cell engraved after the lower Angle, following the method above as far as that same Right Angle. Then, you will note the differences thus elicited in the right Branch, taking the beginning in those appendages where the same Branch is joined with the middle channel. You will recognize this better in the following example, in which we have placed letters in alphabetical order according to the successive extraction of numbers or differences. Whatever has been said here about the right Rhomboid and the Branch to be seen with numbers is to be understood equally for the left one. For the left, you will keep the same manner in eliciting differences with the same first Root, as you will see done here below.

It must be noted, however, that as in the example placed here below, no more than four differences are extracted to be placed in the Branches. If we intended to elicit more, it would then be necessary to invade the Angles of the Rhomboid. I certainly deny that this should be done. Therefore, if in any other operation more or fewer differences are to be elicited, let it be done in this way: provided that, as I said, those Angles are left alone.

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These Angles, as was said regarding the right and left parts of the dual Laria spatial grid, consist of cells; in the upper and lower parts, however, they contain only a single one. You will recognize all these things better by the example taken from the operation concerning the life of the Emperor Maximilian original: "Maximilliani Imperatoris" attached at the end of the work, which is as you see.

A complex diagram of two "Brachia" (branching, U-shaped structures) containing numerical grids. The left grid is labeled "Rhomboides sinistra" and contains numbers 5, 0, 9, 4, 1, 2, 2, 5, 2, 4, 1, 1 arranged vertically. The right grid is labeled "Rhomboides dextera" and contains numbers 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0. The arms are labeled with letters A, B, C, D at their terminals. Between the two structures is a large, ornate letter R.

But if that first Root, from which the numbers of the Branches are elicited as you see, was marked with a Cross $+$, then because that Root is called "conversa" reversed or turned, it must be used in reverse order. Namely, the beginning of the comparison must come from the last exterior cell placed outside the angles, which you will see written near the lower Angle. Then, conferring with the following one or ones, if there are many, proceed as far as the numbers of the exterior Angle. Then you should pass to the first one placed after the upper Angle, operating until it comes to the exterior Angle from this upper part as well. In such a way, you will elicit the differences to be set out in their place in the Branches. Always, as was said above, begin where the middle channel is joined to the Branches. The following Schema Diagram, and the inquiry undertaken concerning the surname of the "Benefit to be chosen," will demonstrate this very well. You will find that example, along with others pointed out here, at the end of this first part.