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Concentric circles are two or more circles sharing the same centre point. In harmony, the celestial sphere is portrayed by five concentric circles made up of the celestial equator and the four major parallels in the northern celestial hemisphere.

The five circles of latitude (five parallels) are five wings of a five-pointed star, which means that the celestial sphere is a star.

Only five concentric circles out of the nine major circles are visible when the celestial sphere is viewed from above because the southern celestial hemisphere is the reflection or mirror image of the northern celestial hemisphere and only the northern celestial hemisphere is visible from above.

Since the celestial equator and the other eight major circles of latitude are the nine worlds, the sphere portrayed by the nine circles is the nine worlds. The nine worlds are also called five worlds because only five circles of latitude or five concentric circles are visible when viewed from above.

Since the nine worl…

Celestial Sphere is the abstract sphere whose hemisphere (on whose inner surface are the sun, moon, stars and all the other objects in the sky) is the perceptible dome-shaped sky over the world of a specific observer.

The world of every individual on earth is a hemisphere made up of a circle and a dome. The circle is the surface of the earth on which the individual walks and the dome is the sky around him.

The circular earth of the world of an individual is the celestial equator and the other half of the sphere is the invisible hemisphere below the plane of the celestial equator.

In 2D (two dimensions), the celestial sphere is a circle and the celestial equator is the diameter of the circle. The observer is the centre of the circle.

The centre is a throne and the observer is a king on the throne.

Recall that the circle is called glory. Since the centre of the circle is the a throne, the observer is a king on his throne.

What this means is that the observer is the ruler of every withi…

The sum of the angles of an n-sided polygon is (n - 2) × 180°; where n is equal to the number of sides of the polygon.

Example: A pentagon is a 5-sided polygon, and the sum of its angles is equal to (5-2)×180°. 5 - 2 = 3 and 3 × 180° = 540°, which means that the sum of the angles of a pentagon is equal to 540°.

In harmony, a standard pentagon is a regular pentagon. The beauty about a regular pentagon is that all its sides are of equal magnitude. After all, the harmonious world is about equality and balance.

Since there are five angles in a pentagon, each angle of a regular pentagon is equal to the sum of the angles of a regular pentagon divided by the number of sides of the pentagon.

Let the sum of the angles of the regular pentagon be S, the number of sides n and each angle A.

Then,

A = S/n

Since S = 540°,
n = 5 and
A = 540°/5
   = 108°

Question 1:
what is the sum of the angles of a regular hexagon?

Solution:
A hexagon is a 6-sided polygon, which means that n = 6.

Sum of angles of a…

Angle on a straight line, equal to 180°, is formed when man and God start from rest and travel in opposite directions. The formula for rest is π7π`; where π is God and π' is man, and 7 is rest. 7 denotes rest because God rested from his work of creation (construction) on the seventh day.


It is clear from the formula of rest that God did not rest alone, but rested with man. At rest, God and man live in the perfect harmony called fellowship.

Rest is the neutrality known as non-judgment. Here, God doesn't deal with sin, but saves man from sin. He teaches man the knowledge required for him to live above sin. Consequently π7π` is a school where God is the teacher, man is the student, and the screen or writing board between them is described as a sea of glass.

The screen is the sky. God writes on the sky and the students look up to read and study what God has written. This was why the Bible said look up or raise up your heads.

Salvation is education. It is like Mathematics havin…

A regular polygon is a plane shape with equal sides and equal angles, which means that all sides and all angles of a regular polygon are in harmony.

Common examples of regular polygons are:

Equilateral triangleSquareRegular pentagonRegular hexagonRegular octagon

An equilateral triangle is a triangle with three equal angles and three equal sides.

The sum of angles of a triangle is equal to 180°. Since there are three angles in a triangle, each angle in an equilateral triangle is equal to 180°/2 = 60°

We know that the length and breadth of a square are equal.

l = b

Where, l = length and b = breadth

The perimeter (P) of a square is equal sum of the four sides of the square.

P = l + b + l + b

Since l = b,

P = l + l + l + l
    = 4l

'4l' implies that the four sides of the square are equal.

A square has four angles and each angle is equal to 90°.

The angles in a polygon can be obtained via the formular of the sum of the angles of an n-sided polygon, where n is equal to the number of…

Celestial equator is the great circle or the observable circular earth surface dividing the celestial sphere into northern and southern celestial hemispheres.

The world is divided into two spheres:

The world above The world below

The two worlds are the north and the south described by the prophet Isaiah. They are two spheres, each made up of a northern hemisphere and a southern hemisphere.

The world below is polarised because the two hemispheres of that world are separate. What this means is that the people dwelling in the underworld are divided into two extremes known as Yin and Yang.

The people categorised under Yin constitute the southern hemisphere and the people categorised under Yang constitute the northern hemisphere. This means that in the underworld the northern hemisphere is light and the southern is darkness.

We must not confuse the celestial equator for earth's equator. Celestial equator differs from earth's equator in that celestial equator divides the world into …

A regular octagon is an eight-sided polygon with eight equal sides and eight equal angles.

The sum of its angles, derived from the formula (n-2)180°, is equal to 1080°.

Since there are eight equal angles in a regular octagon, each angle is equal to 1080°/n; where n is equal to 8 (the number of sides of the octagon).

1080°/n = 1080°/8
               = 135° (an obtuse angle)

The eight angles of the regular octagon are the following eight directions of an 8-point compass rose (the eight-pointed star): north, east, west, south, north-east, north-west, south-east and south-west.

This means that the regular octagon is the geometric representation of a compass.

In Chinese Cosmology, Bagua (heaven) is an octagon. We know that heaven is the celestial sphere, which means that Bagua is an octagonal representation of the celestial sphere. The celestial sphere, with the cubicle representing the holy city, and the eight directions of the compass are the eight edges of the cube.

Note that an octago…

Creation is, geometrically, construction using mathematical instruments such as protractor, compass, pencil, ruler, etc.

Heaven, the immaterial world, is visible on earth through geometric shapes and patterns, and could be revealed by the study of geometry and trigonometry.

Signs and symbols of worship in various religions are either simple geometric shapes, combinations of two or more geometric shapes or modified geometric structures.

Examples: the cross in Christianity is a net of cube, the kaabK in Islam is a cuboid, Mandala in Hinduism is a circle, and the Hexagram in Judaism is a product of two equilateral triangles.

God is a geometer, which means that he is a teacher and humans are his students. He (God) has been trying to teach humans the orderly geometric patterns defining the exact and accurate nature of heaven.

Question: why would God want humans to study the structure of heaven?

Answer: God wants the same law governing heaven to govern the earth.

The law of heaven is harmo…

In geometry, a protractor is a circular or semicircular measuring instrument  (made of transparent plastic or glass) used for measuring angles. Structurally, a full circle protractor is a Compass, and a half circle protractor is half of a compass.

The 360° protractor (a full circle protractor) is a compass depicting the celestial hemisphere. This means that the 360° protractor is a throne and the centre zero of the protractor is the observer (the king) on the throne.

As a celestial sphere, the protractor is made up of circles of latitude and circles of longitude. The circles of latitude are the four concentric circles of the 360° compass, the circles of latitude are the eight winds or eight directions of the compass, and the celestial equator is the circumference of the protractor.

The four concentric circles or four circles of latitude or four parallels are products of the transverse section of the celestial sphere, and the eight lines of longitude are products of the longitudinal s…

Compass rose (also wind rose) is a compass whose directions or points are symbolic of the petals of a rose flower. The different directions of the compass are different people, religions, cultures, tribes, nations, languages, races, etc. The compass rose teaches that the different directions (our differences and diversity) are united in love.

No where is this Love more eloquently spoken about than the Song of Solomon where the Compass Rose was described as the Rose of Sharon. God identified himself with the Compass Rose as follows:

"I am the rose of Sharon" (Song of Solomon 2:1) "KJV"

Rose of Sharon: Compass Rose

I: God

I am the rose of Sharon: God is the Compass Rose.

Identifying God as the Rose of Sharon implies that God is Love symbolised by the compass rose. God is not a specific religion, tribe, race, nation, ideology, civilisation or culture; Rather, God is the Love that binds us all. And the compass rose symbolises that universal love.

Muslims are very accu…

Qibla compass is a compass design showing clearly that Islam is a direction, and Muslims constitute just one out of the many directions of a compass. Some of the other directions of the compass are Sikhism, Gnosticism, Judaism, Hinduism, Christianity, Atheism, Psychology, Philosophy, Jainism, Zoroastrianism, Buddhism, Taoism, Baha'i Faith, Babism, Rastafarianism, etc.

Qibla compass is designed specifically to help Muslims locate the direction of Mecca and pray facing the Kaaba. Some designs have the word "Mecca" inscribed as the most prominent direction on the compass; others have the image of the Kaaba or a Mosque signifying the qibla (Muslim direction) on the compass.
Although Judaism doesn't have a compass to show Jews what direction to face during prayers, the fact that Jews all over the world pray toward the Temple Mount is an evidence that Judaism is a direction and the Temple Mount is the qibla of the Jews.
Every religion is a compass - the center of the comp…

In geometry, a compass is a plastic or metallic instrument used for drawing circles or arcs. The compass is the first of the three primary instruments used for creating the orderly universe (the Cosmos) out of nothing.

God has created the universe after geometric and harmonic principles, to seek these principles was therefore to seek and worship God. (Wikimedia)
God is a geometer, and creation is construction via the aid of a compass, a pen and a ruler.

Creation, described by the Holy Bible, is simply geometry. It is the use of compass, pencil and ruler to construct angles, lengths and geometric shapes.

Heaven or Paradise described in Revelation 21 is about measurement and construction of geometric shapes such as circle, square and cube. In other words, paradise or the holy city is primarily a special knowledge of geometry.

The drawing compass is an instrument symbolising heaven because heaven is a compass built by a compass. God's throne is the centre of a compass, and our diffe…

The circular pathways of the eight planets in the solar system are eight Concentric Circles corresponding to the eight major parallels or circles of latitude on either side of the celestial equator. What this means is that the solar system is the celestial sphere and all objects in the sky are projected on the spherical structure formed by the solar system.

Although the solar system is a three dimensional structure, the eight concentric circles constitute a two-dimensional representation of the celestial sphere.

Four out of the eight major circles of latitude constitute the northern celestial hemisphere and the remaining four constitute the southern celestial hemisphere, which means that four circular pathways of four planets are the northern celestial hemisphere and four circular pathways of the remaining four planets are the southern celestial hemisphere.

The planets whose circular pathways constitute the northern celestial hemisphere are Venus, Mars, Jupiter and Saturn. The planet…