The Saviour's Smile: RISU in Eclogue 4 in the
Names of MARIA IESUS
I. Aspects
of the Decimal System in the names of MARIA and IESUS
II. Vergil's Eclogue 4,
60-63: Gematric aspects
III. The
last sentence (62-63)
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INCIPE, PARVE PUER, risu cognoscere matrem: |
398 |
295 |
693 |
matri longa decem tulerunt fastidia menses. |
395 |
313 |
708 |
INCIPE, PARVE PUER: qui non risere parenti: |
404 |
305 |
709 |
nec deus hunc mensa, dea nec dignata cubili (e)st. |
342 |
263 |
605 |
60-61:
72 letters; 62-63: 72 letters |
1539 |
1176 |
2715 |
1539 = 81*19; 1176 =
48*49 |
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605 = 55*11; 2715 = 15*181 |
Translation:
Begin, little boy, to recognise your mother with a smile:
Ten months caused your mother long inconveniences.
Begin, little boy: Those who have not smiled at their parent:
Neither a god has considered him worthy of his table nor a goddes
of her bed.
1. What are
the guidelines and principles for VERGIL to create his gematric constructions?
It's the order of the decimal system, the tetrakys star with its two concentric
circles and the SATOR square:
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Supreme
is the idea of a communion of three divine persons who are united as one GOD. This principle of 1:3/3:1 can be recognized from
the area sizes of the two concentric circles.
The
tetraktys star, developed from the hexagon, strives to its final form of
octahedron. It is achieved by two double rhombi in the form of a cross:
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2. In trying
to detect the main elements of a specific gematric construction, it is
necessary to distinguish between more important and less important principles
chosen by the poet. The highest gematric MOTIF is obviously contained
in the first three words INCIPE PARVE PUER which I choose to demonstrate some varieties of
structural sense in gematric creations:
|
lett. |
NS |
FS |
SM |
FV1 |
FV2 |
SM |
TOT |
INCIPE |
6 |
54 |
41 |
95 |
11 |
41 |
52 |
147 |
PARVE |
5 |
58 |
40 |
98 |
31 |
11 |
42 |
140 |
PUER |
4 |
57 |
39 |
96 |
22 |
16 |
38 |
134 |
|
15 |
169 |
120 |
289 |
64 |
68 |
132 |
421 |
169 = 13²
>26 ; 289 = 17² >34 |
The
square number 169 is extended to 289 by the addition of the FS 120 achieved by three
successive numbers 39-41. It's noteworthy that 120 is the sum of numbers 1-15. It corroborates
letter P (PARVE PUER), the gematric equivalent of 15, as one
of Vergil's key principles.
The two square numbers point to the cross of
two double rhombi (DR) and the octahedron, which consists of 26 elements: 6 corners, 12 edges, 8 areas. The two
pyramids can be seen as two halves of the octahedron, if 8 elements of its
quadrate basis are attributed to each of them.
There are
two more aspects in INCIPE:
·
The single digits of 54
and 41 show 5+4
elements of the DR-zigzagline and 4+1 elements of the hexagonal axis which represent
3:1 areas
of the two circles:
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·
The hexagon and its extension both consist of 24 symmetrical elements + central
point, circle line and area, i.e. of 27+27
elements. The NS 54 of INCIPE can be divided up into twice 27.
3. But why
are the three words repeated? One reason is that the double rhombus
contains twice two figures of 13 and 17 elements:
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In the case
of the double-triangle a second one comes about, if the two middle lines are
folded and the two outer corners are joined.
A second reason is that a octahedron needs
four double-triangles for
its outer surface:
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The third reason finally has to do with the SATOR square and almost
everything revolves around the number 15: The NS of SATOR – Creator is 69 = 3*23. 6*9 = 54 is the FS of SATOR, and 54 is the NS of INCIPE. So a main starting
point are the single-digits 6 and 9, and the combination of multiplication and addition leads
to 6*9 = 54 + (6+9) = 69.
The word SATOR appears a second time
in its inversion form ROTAS. So Vergil repeats the three
words analogously.
4. The frame
of the double rhombus consists of 15 elements, 9 belonging to the
hexagonal part, 6 to the extension part:
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The 9 elements of the
hexagonal part of the double rhombus fall into 5 points and 4 lines. This is the
purpose of the 6, 5, 4 letters of INCIPE PARVE PUER.
5. 15 as 3*5 substantially refers to the three axes of the
hexagon. Each axis consists of 2 radial lines and 3 points, together of 5 elements:
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Any unit
of measure needs being limited by two points, which leads to the double aspects
of 5 uneven diametrical elements and 6 even radial elements.
If these elements are numbered according the above grafic, the sum is 11+12 = 23.
The FV of 15 is 8, both together make 23 and 3*23 is the NS of SATOR. Further 3*11 = 33 of unnumbered elements
is the NS of PEN, and put together the word PENSATOR comes about. The word
refers to the act of weighing. Theologically it means that God
rewards human beings after their earthly lives according to their merits.
The
gematrical equivalent of 15 is the letter P. Now it becomes clear why it is used in each of the three
words INCIPE PARVE PUER: 3*23 is the NS of SATOR.
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6.
The very start of INCIPE is IN: The NV 9 and 13 characterise two geometrical figures of two and
three axes, containing the 10 units of measure of the DECIMAL SYSTEM:
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If a
central point is counted for each axis, the sum of points increases from 12 to 15. These two aspects may
be added to 27.
As the
numbers 1-3 have trinitarian meaning, the two figures of two and three axes can
be completed by a single axis (right figure). The result is 15 points and 12 measure lines,
totalling 27. If we consider the total NS+FS-sum 2715, we might guess that
it's a combination of 15 points + 12 measure units, and 5+7+3 points, including the
single circle axis. However, I'm not sure whether Vergil considered this
specific aspect.
7.
The ratio of 1:3 area units of the two concentric tetraktys circles
can be represented by 3 hexagonal radial elements and 5 radial elements for the
total exterior circle as indicated in the zizag-line of the double-rhombus:
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We can see the pattern 235 in the NS 58+57
= 115 = 23*5
of
PARVE
PUER. Significant
are also the single-digit ratios of 5:8 radial elements of the zigzag-line and 5:7 points of the double
rhombus, representing 3+4 = 7 and 1+3 = 4 area units:
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8.
Vergil's amazing calculating faculties can be
recognized in two gematrical constructions:
|
·
The double aspect of unnumbered and numbered
diametrical and radial elements produced, as shown above, the sums 11 and 23 for
one hexagonal axis. And 1123 is the FS of the NS and FS of the
four lines:
line |
NS |
FS |
SM |
FV1 |
FV2 |
SM |
TOT |
60 |
398 |
295 |
693 |
201 |
64 |
265 |
958 |
61 |
395 |
313 |
708 |
84 |
313 |
397 |
1105 |
62 |
404 |
305 |
709 |
105 |
66 |
171 |
880 |
63 |
342 |
263 |
605 |
27 |
263 |
290 |
895 |
|
1539 |
1176 |
2715 |
417 |
706 |
1123 |
3838 |
·
The finite verbs of the four lines form part of
the total NS+FS:
INCIPE |
54 |
41 |
95 |
TULERUNT |
124 |
102 |
226 |
INCIPE
|
54 |
41 |
95 |
RISERE |
71 |
58 |
129 |
DIGNATA EST |
96 |
83 |
179 |
36 letters |
399 |
325 |
724 |
724 = 4*181 |
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399 = 21*19; 325
= 13*25 |
The NS+FS of the finite verbs
lead to the ratio 181*(4:11). 325 is the sum of the numbers 1-25 and so establishes
a relationship to the SATOR-square.
9.
The single digits of the factor 181 again refer 10 units of measure,
contained in the DR, 8 frame lines and 2 cross lines. This pattern is so
important because a unit of measure needs two limiting points, and there are
only 1-9 basic numbers as 0 in itself has no counting quality. So 9 points limit only 8 units of measure on a
straight line:
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However, in the DR 7 points limit 10
units of measure, and if the points are numbered in the form of a loop, it's 9 points:
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The context of 9 points + 8+1+1 units of measure is also to be seen in the
total NS 1539 = 81*19.
Vergil may have thought of the right figure as the NS of the 4 lines is 81*19 = 1539,
containing 8+2 units of measure and 9 points. He considered this pattern 8+2 as so important that he repeated it in the
summation of the NS+FS of
the first and last lines: 693+605 = 11*(63+55) =
11*118. Here 11 means 7
points + 4 triangular areas, 118 2+8
units of measure.
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10.
The two patterns of 4+6 and 8+2 units of measure
correspond to the model of the SATOR square, second and fourth lines:
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The NS of
the two models is 20+52 = 72 for each half,
which is also the number of letters in lines 60-61
and 62-63.
The two axial figures and the DR can
account for the total NS+FS 2715 though by rather a bold explanation. The
following correspondence between PARVE (58) PUER (57) and the two
models can be established:
number of pts |
2axf. |
number of el. |
DR |
real |
12 |
21 |
33 |
extended (3*9) |
15 |
27 |
42 |
|
27 |
48 |
75 |
12 and
15 points limit 20
units of measure, 27 limits 10 units of measure. 27
includes 12+15, so 27
may stand for 30 units and 15 for 10
units. The NS of PARVE
PUER is 115, if two U = 40
units of measure are subtracted, 75
remains.
11.
Like in numerology gematric calculations consider
letters whose NV are prime numbers or composite numbers. The
palindrome character of the SATOR square becomes most cleary
evident if you start in the middle and read by meandering in both directions
NET OPERA SATOR
THE CREATOR WEAVES HIS WORKS
Vergil's INCIPE PARVE PUER shares the
NS+FS 289 = 17² of the SQ's two palindromic halves. Distinguishing
between Prime
Numbers and Composite Numbers: also the referential
origin of the SATOR square, the multiplication table (from 3-7 without tens),
should be included, as above shown:
|
SATOR |
1x1-table |
|
|
|
||||
|
PN |
CN |
sm |
PN |
CN |
sm |
S-PN |
S-CN |
tot |
NS |
97 |
61 |
158 |
24 |
31 |
55 |
121 |
92 |
213 |
FS |
97 |
34 |
131 |
24 |
23 |
57 |
121 |
57 |
178 |
sm |
194 |
95 |
289 |
48 |
54 |
102 |
242 |
149 |
391 |
289:102 = 17*(17:6) = 17*23 |
The differenc between 178 and 213 is 35.
Vergil builds on the two results in the following way:
|
SATOR +
1x1 |
INCIPE |
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|
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||||
|
PN |
CN |
sm |
PN |
CN |
sm |
S-PN |
S-CN |
tot |
NS |
121 |
92 |
213 |
66 |
103 |
169 |
187 |
195 |
382 |
FS |
121 |
57 |
178 |
66 |
54 |
120 |
187 |
111 |
298 |
sm |
242 |
149 |
391 |
48 |
54 |
289 |
374 |
306 |
680 |
374:306 = 2*17*(11:9) = 34*20 |
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187 = 11*17; 195
= 15*13 |
While the total results of the SQ and 1x1 are divisible by 17,
Vergil achieves a ratio between the NS+FS of the prime
numbers and the composite numbers.
Now, eventually, it has become clear why Vergil
repeated INCIPE PARVE PUER: He imitates the
two palindromic halves of the SATOR square and the multiplication table.
Vergil, furthermore, makes use of his models' FS 57 – which is the NS both of PUER and PATER – by adding 54, the NS of MATER and INCIPE.
12.
Vergil interweaves the main motif INCIPE PARVE PUER with
the nouns of persons by repeating the factor 17 for
the NS+FS: PUER (2) MATREM MATRI PARENTI DEUS DEA. The NS+FS is 374+289 = 663 = 17*(22:17) =
3*13*17. In this way PUER is used four
times.
13.
It's an unusual and admirable coincidence
that the NS+FS of the important word COGNOSCERE 99+79 = 178 is
the same as MARIA (72) and IESUS (106). I
tried to find two 5-letter words with the NS+FS 72 and 106: COGOC and SEREN. The
first may be understood as a short form for COGIT OCCULTUM – she
defeats the hidden evil, the second, completed to SERENUS – serene
characterises Jesus' constant disposition of mind.
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Written:
December 2021