Page 2. Physiognomy are esoteric knowledge about geometrical proportions of a human face. The second page describes geometrical ratios which are reference points for measurements of proportions of a human face, and in particular the second page describes proportional ratio of the "square of feelings" with "circle of consciousness". And also the second page represents the unique numerological method for calculations of proportional ratios. This method of numerological calculations can be applied not only in physiognomy but also in a context of other esoteric knowledge.

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## Sizes and proportions of a human face.Geometrical laws in physiognomy. Proportional ratio of feelings with consciousness.

Shapes of a human face in profile can be presented as combinations of geometrical figures, and accordingly the sizes and proportions of a human face can be considered as proportional ratio of geometrical figures, that is shown on the chart.

 The basic figures of physiognomy are the square and the circle. Sides of the square have sizes which are equal to the distance between chin and eyebrows, namely the square ABCD is an equilateral rectangular in which the side CD corresponds with border of a chin and the side AB corresponds with border of eyebrows, and the side BC determines the square size. Borders of physiognomic spheres and facial levels on the chart are shown by blue lines which designate the scale of measurements of human faces in physiognomy. The side BC is a tangent line to the maximal expressed point of a chin and to the maximal expressed point of eyebrows, and angles of the square have 90 degrees. The square corresponds with physiognomic spheres of individuality and feelings. If sizes of physiognomic spheres are correct then the square's side has 120 zens. But it is necessary to take into account that faces of people have individual physiognomic proportions and consequently sizes of squares can be different.

The circle has the size from top of a head up to a mouth (border between upper and lower lips), namely diameter of the circle with the centre in point O is a distance between points E and G, provided that the point E corresponds with the line on top of a head and the point G corresponds with the line of a mouth. To calculate diameter of the circle, it is necessary to draw the line on top of a head parallel to the side AB of square, and this line should be a tangent to the maximal high point of a head. After that it is necessary to draw a circle which is tangent to the side BC in the square and is tangent to the line of top of a head and tangent to border of a mouth. Then it is necessary across the centre of the circle to draw the perpendicular line to the side AB of square, and in a result crossing of this line with the circle will specify points E and G.
In some cases maximum high point of a head can not coincide with point E, but in any case the circle should be a tangent to the line of top of a head, namely it is necessary to commensurate shapes of a human face with above mentioned physiognomic drawings and measurements correctly as they allow correctly to find the centre of the circle in point O and allow to find the diameter EG.
The circle corresponds with physiognomic spheres of consciousness and individuality, and also in part corresponds with the sphere of feelings. If sizes of physiognomic spheres are correct then diameter of the circle has144 zens, but if sizes differ from correct then diameter of the circle can be other. And also position of the point O (centre of the circle) can be various depending on individual proportions of a half face of this or that man.
Geometrical ratio of the circle and the square determine proportions of a human face from the point of view of physiognomy. Namely at the correct sizes of physiognomic spheres the attitude of distance EF to distance OF has value 180/108=1,666... (or at division of the smaller size by big 108/180=0,6), that approximately corresponds to value of the gold section.
That proportional ratio of the circle and the square would be most equal to value of the gold section, distance OF should have the size approximately 111,222... zens. Then attitude EF/OF matters 180/111,222...=1,618 that is equal to the gold section (at division of the smaller size by big 111,222 .../180=0,6179). Such proportional ratio which corresponds to the gold section are in faces of ancient Greek sculptures where a mouth does not correspond with correct proportions of physiognomic spheres.

 As it is possible to see on the chart, the sculptural profile of Venus has wrong position of a mouth from view of correct proportions, namely the distance from top of a head up to border of a mouth (border between upper and lower lips) is less rather than 144 zens though as a whole the physiognomic sphere of feelings from a nose up to a chin has correct proportions. In this connection the circle has smaller diameter in distance from top of a head up to border of a mouth. To proportions of the shown sculptural profile of Venus there corresponds the circle shown by a thin line, and a fat line shows the circle appropriate to correct proportions of physiognomic spheres. The centre of the correct circle is in point O, and the centre of the changed circle is in point O1. Attitude EF/OF is 1,666 but attitude EF/O1F is 1,618 that corresponds to the gold section which is typical in the canon of ancient Greek sculptures.

Besides in the shown sculptural profile of Venus the physiognomic sphere of consciousness is increased in comparison with the sphere of individuality, and as a result the square (shown by thin lines) has the smaller size in comparison with the correct square (shown by fat lines). The smaller size is the reason of that the center of the circle in point O1 coincides with the side of the square, that is one more sculptural feature of the shown facial profile of the Greek goddess Venus.
Also in half faces of ancient Greek sculptures and in the shown facial profile of Venus it is possible to see many other remarkable geometrical proportions which are changed in comparison with correct canon, but are coordinated with proportions of the gold section.
Completely correct geometrical proportions of physiognomic spheres can be seen in the facial profile of Napoleon.

 The shown image is the drawn (portrait) profile of Napoleon in the age of 17 years. It is possible to assume that the artist has purposely calculated correct proportions of the drawn face, but also it is possible to assume that actually the half face of emperor Napoleon had perfect proportions in view of physiognomy. As in the shown portrait it is possible to see that each physiognomic sphere has the size of 60 zens. The attitude of distances EF to OF is 1,666... Diameter of the circle is equal to the distance from top of a head up to the line of a mouth that has the size 144 zens (the line of a mouth within the physiognomic scale of measurements coincides with border of a mouth). The line of top of a head is designated approximately as it is necessary to take into account hair which visually hide the valid top.

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In faces of people proportional ratios of physiognomic spheres can be different but in each human face there are especial geometrical laws and proportions. For example, the half face of Britney Spears on photo which from the point of view of physiognomy is remarkable that there are no hair, and as a result on the photo it is possible to see exact top of a head.

 In the facial profile of Britney Spears on photo the physiognomic sphere of consciousness has the size of 70 zens, the sphere of individuality has 45 zens, the sphere of feelings has 65 zens. It is a wrong proportional ratio of physiognomic spheres, but as a whole the attitude of distances EF to OF is 180/110=1,636 (at division of the smaller size by big 110/180=0,611) that approximately corresponds to value of the gold section, and also the centre of the circle in point O coincides with the side of square that is similar to the facial profile of Venus. Diameter of the circle has the size of 141 zens but the line of a mouth is correct within the framework of physiognomic sphere of feelings, as the distance from top of a head up to border of a mouth is equal to diameter of the circle.

As a whole the half face of Britney Spears is balanced harmoniously though proportional ratio of physiognomic spheres differ from correct proportions.
In the shown photo the mouth is slightly opened, and consequently can seem that the increase of physiognomic sphere of feelings is caused by movement of the lower jaw, but also the mouth can be slightly opened as a result of slackness of the lower lip. Namely the mouth can be opened as a result of movement of the lower jaw that changes visible sizes of a face, or the mouth can be opened as a result of an emotional relaxation of the lower lip that does not change facial sizes.
The following image is the face of real woman but the photo is edited in the graphic computer program.

 The physiognomic sphere of consciousness has the size of 70 zens, the sphere of individuality has 53 zens, the sphere of feelings has 57 zens. It is a wrong proportional ratio of physiognomic spheres, but as a whole the attitude of distance EF to distance OF is 180/110=1,636 (the similar ratio can be seen in the facial profile of Britney Spears) that approximately corresponds to value of the gold section, and also the centre of the circle in point O coincides with the side of square. The border of a mouth is wrong and consequently diameter of the circle has the size of 141 zens, and the correct line of a mouth should be located on a distance of 145,8 zens from top of a head according to the scale of measurements of physiognomy. Not looking at wrong border of a mouth and wrong proportions of physiognomic spheres nevertheless the ratio of the square with the circle is proportional, as the centre of the circle in point O coincides with the side of square. Wrong position of a mouth and concurrence of the centre of circle to the side of square also can be seen in the sculptural profile of Venus above.

The shown geometrical measurements allow to determine sizes of physiognomic spheres in a context of physiognomy.
If a size of this or that physiognomic sphere is more than correct value (more than 60 zens) then this sphere prevails, and if the size is less than 60 zens then the sphere is insufficient, that allows to draw psychological conclusions on features of human character.
If the sphere of consciousness prevails then the man or woman is sure in own thinking, and if the sphere of consciousness is insufficient then thinking is uncertain.
If the sphere of individuality prevails then the man or woman is sure in own personality (self-confident), and if the sphere of individuality is insufficient then the person is not sure in own personal features.
If the sphere of feelings prevails then the man or woman is sure in own sensuality, and if the sphere of feelings is insufficient then the person doubts of sensual displays.
It is necessary to mean that physiognomic spheres of a human face are prevailing or insufficient concerning the vertical scale of measurements that is not connected to the horizontal measure scale concerning which physiognomic spheres can be expressed or not expressed. Namely the offered facial scale is vertical, and the information on the horizontal scale of measurements in physiognomy look in other sections of this web site.
Except for vertical sizes of physiognomic spheres, and except for proportional features of human faces by means of geometrical ratios of the circle with square it is possible to see ratios of consciousness with feelings.  The circle is possible to name by the term "circle of consciousness" and the square is possible to name "square of feelings", and accordingly by means of physiognomic analyses of geometrical ratios it is possible to do psychological conclusions. Namely attitudes of distances OF to EF and also HF to EF it is possible to consider as numerological numbers which allow to characterize psychological features of people.
OF/EF specifies the proportional ratio of height of a head with circle of consciousness and consequently numerical value of this ratio means psychological features of the thinking.
HF/EF specifies the proportional ratio of height of a head with square of feelings and consequently numerical value of this ratio means psychological features of sensuality.
Correlations of numerical values of two physiognomic ratios allow to speak about psychological balance between the circle of consciousness and the square of feelings not only from the point of view of physiognomy, but also in a context of numerology. For example, if the ratio of a head height with circle of consciousness has numerical value 0,594 then from the view point of numerology it is necessary to consider numbers 5 and 9 and 4 which mean psychological features of consciousness. And if the ratio of a head height with square of feelings has numerical value 0,738 then in numerology it is necessary to consider numbers 7 and 3 and 8 which mean psychological features of feelings.
It is necessary to mean that according to rules of numerology at calculation of proportional ratios it is necessary to do division of smaller sizes by big, namely sizes of distances OF or HF divide in size of distance EF. In this case (as a result of division of smaller sizes by big) you receive numbers which can be considered as numerological values.
The list of numerical values is given in the table. Instructions for use the table consist that if distance OF or distance HF have any size from 99 up to 135 zens then ratios with distance EF (180 zens) have the appropriate numerical values. For example, if distance OF has the size of 99 zens then it means that the ratio OF/EF has numerical value 0,55 (99/180=0,55), and accordingly the combination of numbers 55 matters from the point of view of numerology.
The information on values of numerological numbers in a context of Pythagorean numerology look on pages of other web site: www.numeralgame.64g.ru/en.htm in section about numerology.

 distance ratio num value 99 99 / 180 0,55 100 100 / 180 0,555... 101 101 / 180 0,561... 102 102 / 180 0,566... 103 103 / 180 0,572... 104 104 / 180 0,577... 105 105 / 180 0,583... 106 106 / 180 0,588... 107 107 / 180 0,594...
 distance ratio num value 108 108 / 180 0,6 109 109 / 180 0,605... 110 110 / 180 0,611... 111 111 / 180 0,616... 112 112 / 180 0,622... 113 113 / 180 0,627... 114 114 / 180 0,633... 115 115 / 180 0,638... 116 116 / 180 0,644... 117 117 / 180 0,65 118 118 / 180 0,655... 119 119 / 180 0,661... 120 120 / 180 0,666... 121 121 / 180 0,672... 122 122 / 180 0,677... 123 123 / 180 0,683... 124 124 / 180 0,688... 125 125 / 180 0,694...
 distance ratio num value 126 126 / 180 0,7 127 127 / 180 0,705... 128 128 / 180 0,711... 129 129 / 180 0,716... 130 130 / 180 0,722... 131 131 / 180 0,727... 132 132 / 180 0,733... 133 133 / 180 0,738... 134 134 / 180 0,744... 135 135 / 180 0,75

Three points at the end of numbers mean that numbers are infinite.
In essence the table shows the numerological method of calculations according to which within the scale from 0 up to 180 it is possible to calculate proportional ratios of sizes in a range from 99 up to 135, but also this numerological method allows to calculate proportional ratios of sizes in a range from 0 up to 180, and as a result numerical values not only from 0,55 up to 0,75 but also from 0,005 up to 0,994 (1/180=0,005 and 179/180=0,994) can be received, that allows to consider the whole range of numbers in numerology. Provided that the 10th and 100th and 1000th fractions of numbers (digits after a point) have values according to this method of numerology.
Such numerological method of calculations is universal and can be used not only in physiognomy within the offered physiognomic scale of measurements, but also in astrology or in other spheres of esoteric knowledge.

Except for geometrical ratios OF/EF and HF/EF it is possible to consider the attitude of facial distance from the top of a head up to the centre in the square of feelings to distance EF, that too allows to speak about psychological features of people. And also it is possible to consider many other facial ratios which can be seen in proportions of a human face and in proportions of geometrical figures.

The following page considers the circle of consciousness and the square of feelings in the ratio with the facial triangle of individuality.

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