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to first apply the form, which you may use, whenever you find empty cells in the upper half which that last line was not able to fill.
For the first cell, therefore, which remains empty in this upper half, take the number of the first cell of the right Rhomboid, and you will compare it with the number of the first cell of the left Rhomboid: and you will place their difference in that already completed empty seat.
For the second empty one existing in this last order of the prior half, you will elicit the difference of the same first cell of the right Rhomboid compared with the first number of the exterior Angle Angulus exterior the outer corner of the diamond grid of the side of the left Rhomboid. But here, for the true knowledge of the Angles of the Rhomboids, it should be known that each Rhomboid consists of four Angles: of which one is called the Superior Superior Upper, and it is that first cell marked A. The second is the Interior Angle Interior Angulus Inner Angle, which consists of a double cell, and we call it marked S. T. The third is called the Inferior Angle Inferior Angulus Lower Angle, and it is the cell designated Q. Finally, the last Angle is the one diametrically opposite the second, which likewise encompasses two cells, which it pleased me to mark 12 and X, as you see.
A central diagram illustrates the "Angles" of a geomantic rhomboid or grid. The diagram is cross-shaped: at the top is a square marked A; to the left are two vertically aligned squares marked S and T; to the right are two squares marked 12 and X; in the central vertical column below the main cross-point are squares with 1 and 7; and at the very bottom is a square marked Q. Centered text labels around the diagram identify these groups: "Superior Angle" for A, "Interior Angle" for S and T, "Exterior Angle" for 12 and X, and "Inferior Angle" for Q.
For the third empty cell, therefore, let the number of the same first cell of the right Rhomboid be taken, and compared with the second number of the same second Angle of the left Rhomboid, you will write the received difference in that empty cell.
For the fourth, indeed, where it is empty as above, which you wish to fill, let it be the difference elicited from the number of the third Angle compared with the same first cell of the right Rhomboid.
If, moreover, a fifth vacant Area should exist in any Rhomboid, you should take the lower number of the fourth Angle and compare it with the first cell of the right Rhomboid and place the elicited difference in the same area.
Finally, if in your Rhomboid you lack the sixth difference? for the sixth cell found vacant in the prior half of the Rhomboid, having taken the number of the said
first cell of the right Rhomboid, compare it with the second number of the same fourth Angle, and place their difference in that empty cell.
Concerning the others, since it seems impossible that more cells be found empty in any Rhomboid of a query (provided it is composed according to the prescribed rules), then no more Angles are to be established; indeed, only six suffice to complete the half of any Rhomboid for one who has not approached it rashly.
However, it must be noted here again that in this comparison to be performed for the same difference of Numbers, the number of the first cell of the right Rhomboid must always be named primarily, as if the first from the right were the name of the comparison; which becomes clearer in the following example. Furthermore, it should be your task to observe the same rule, when the numbers of the same Rhomboid have served for the total and entire completion of the right Rhomboid in sixths, so also in its half; as we shall say here below. But first, I do not regret bringing an example for completing the first added half (if it was empty), v.g. for example in the example concerning my brother's captivity original: "fratris mei captivitate", the Half of the same right Rhomboid holds five empty cells (as is seen below) to be completed according to the given rules. Therefore, having taken in the fourth seat the first cell of the right Rhomboid, which is A, compare it with the number of the first Angle which is i.c.? and you see the difference is 7, which you place in that first empty one. Then compare the same A, the first Number of the right Rhomboid, with the first number of the second Angle of the other Rhomboid (because it is seen to be 6), which gives 11 for the difference; which difference you put in the second empty cell. For the third, I then likewise bring the difference, which I do not cease to elicit from the said first number, compared with the other number of the same second Angle, and you see the difference is produced, which you insert in its place. And thus proceeding through the remaining ones which you see empty, bestow them in the same form and order according to these rules; as you can better note from the attached Schemes of these things which have been said; where we have endeavored to write a practical example of both the right and left Rhomboid.
Indeed, you should study to complete the inner half of this right Rhomboid and its empty cells thus. You will elicit the difference of the first cell of this right Rhomboid, namely A, marked with the letter A, with the number diametrically placed such as 12. You will place the Number for the cell marked with the letter B, marking with a cross the difference of the said sum of cell A, comparing it with the number of cell C, which you see diametrically placed to B itself; then compare the same A with number B, which appears to be diametrically opposed to D itself, and place the difference now elicited in the Area of cell D, and thus apply your labor in completing the other cells.