5.1. General assertion
The following fact is of exceptional importance. Applying all the dating methods we developed to the Scaligerian Textbook of the ancient history, or to the global chronological map, we obtain the same results every time. This implies that our new dates are in good conformity, although obtained by essentially different methods. In particular, the historical "Scaligerian epochs", close in the sense of the coefficient p(X, Y), also prove to be close in the sense of the coefficient c(a, b), as well as the coefficient measuring proximity of forms-codes of dynasties. Moreover, the results obtained conform with astronomical datings - in particular, with the effect of the "ancient" eclipses' dates shifted upward, discovered in , See the end of this chapter for more detail on this.
5.2. The agreement of the different methods on the example of the identification of the Biblical Judaic reign with the Holy Roman Empire of allegedly X-XIII century A.D.
A vivid example of conformity between the method of dynastic parallelisms and that based on correlation between volume function maxima. Let us recall this principle.
1) If two chronicles X and Y are dependent, or, describe approximately the same events in the same time interval in the history of the same region, then the local maxima points on their volume graphs must correlate.
2) If two chronicles X and Y are independent, i.e., describe substantially different historical epochs or different regions, then local maxima points on their volume graphs do not correlate.
Let us apply this principle to the "biographies" of the kings of Judah described in the Bible, and the "biographies" of the Roman-German emperors of the Holy Roman empire of the alleged X-XIII century a.d. We have already seen the Kingdom of Judah and the Holy Roman Empire of the alleged X-XIII century to be duplicates, that is, nothing but different reflections of the same original, see table 9 in Chroni, eh. 6.
Let us verify this dynastic identification in a different way - compare the volumes of "biographies" of kings of both dynasties. If the dynasties are dependent, then the peaks on their volume graphs are expected to be virtually simultaneous.
We understand "the biography of a king" as part of a text related to the events occurring during the reign of this king. If the text does not determine "the biographical boundaries" with sufficient clarity, we assume the first mention of the ruler in connection with the events of his epoch to be the beginning of the biography, the way we determined the end of the biography. However, the overwhelming majority of the cases presented no difficulty, as the texts we used would outline the boundaries of biographies with sufficient clarity.
a) The kings of Judah are described in the Bible, in 1-2 Samuel +1-2 Kings and 1-2 Chronicles. V. P. Fomenko and T. G. Fomenko have counted the number of lines in the Bible for each kings of Judah. The results are assembled in Appendix 6.6 in the end of
Chroni. The obtained graph - a continuous line and white dotted circles - is depicted in fig. 6.53, with ordinal numbers of the kings of Judah plotted along the horizontal axis in the same order as listed in the Bible.
b) For each king of Judah, the Bible indicates the number of years he reigned. Intermittent disagreements between different indications of the Bible are thoroughly discussed in  and Appendix 6.4 to Chroni. Plotting durations of reigns of the kings of Judah along the vertical axis, we obtain the second curve shown in fig. 6.53 as a continuous line with white dots.
We use the same ordinal numbers along the horizontal axis indicating the kings of Judah for their duplicates, i.e., Roman-German emperors, see the table 9 in Chroni, eh. 6. For example, dot #1 on the horizontal axis depicts both Rehoboam and his double, emperor Henry I, etc.
c) Along the vertical axis, we plot the duration of reign for each Roman-German emperor. The result is presented in fig. 6.53 by a continuous line with asterisks.
d) The volume of "biography" for each Roman-German emperor was calculated on the basis of several different but a priori dependent sources, the first one being Rome, Florence, Venice. Monuments of History and Culture by Y. V. Fedorova (). The volume of each "biography" was measured in centimetres. Text page in the book is 17 centimetres high. The text describing emperor Lothair I, for instance, is 20 centimetres high. We emphasize that measurement units are of no importance, since we are only after the coincidence or difference of local peaks of the volume graphs. The resulting curve (volumes according to Fedorova) is presented in fig. 6.53 as a line of dots.
e) The volume of "biography" for each Roman-German emperor was calculated after the well-known book by C. Bemont and G. Monod The History of Europe in the Middle Ages (), measured in lines. The resulting curve is shown in fig. 6.53 as a dotted line with points.
f) Finally, the volume of "biography" for each Roman-German emperor was calculated by The History of Germany by Kohlrausch (). The resulting curve is shown in fig. 6.53 as a dotted line, scaling along the vertical axis compressed 10-fold.
The result is as follows: six graphs in one figure.
One glance is sufficient for one to he convinced of a vivid correlation between the peaks of all the six curves. The peaks evidently occur virtually simultaneously.
This proves the dependence between the dynasty of kings of Judah and the dynasty of Roman-German emperors. In other words, the Holy Empire of the alleged X-XIII century a.d. in the secular chronicles and the kingdom of Judah of allegedly 928-587 b.c. in the Bible are reflections of the same dynasty.
By the way, we saw something new in this example. The graphs of durations of reigns and the graphs of biographical volumes turn out to satisfy the maxima correlation principle. In other words, this example revealed that the longer the king reigns, the more detail he is described in by a chronicle. Vice versa, if his reign is brief, the chronicle saves little space for him. A model like that is certainly accurate "on the average"; however, this dependence looks quite natural and is helpful for the exposure of new dependent historical dynasties.
THE GENERAL LAYOUT OF DUPLICATES IN "THE TEXTBOOK BY SCALIGER-PETAVIUS" The discovery of the three basic chronological shifts
The main result that the author obtained in 1977-1979 is that the uScaligerian textbook" on ancient and mediaeval history is the result of joining four virtually identical shorter chronicles, shifted by approximately 333, 1050, and 1800 years versus their mediaeval original.
As an example, we shall describe part E of the global chronological map - i.e., the "Scaligerian textbook" -on the time segment from 1600 b.c. until 1800 a.d. in the history of Europe, including Italy, Germany,
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