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Angle in a Semicircle

The angle in a semicircle is a right angled. In harmony, the three lines representing the three musical notes constituting a chord are the three sides of an isosceles right triangle.

A right triangle is made up of two perpendicular lines: a horizontal line and a vertical line. The third line is the resultant of the two lines.

An isosceles right triangle is a right triangle (a right-angled triangle) with two equal sides and two equal angles. The two equal angles are called base angles.

Base angles of isosceles triangles are equal.

This means that if the base angles of an isosceles triangle are X and Y respectively,

X = Y (base angles)

The isosceles right triangle is the hybrid of an isosceles triangle and a right triangle. Since the isosceles right triangle is a right triangle, the three sides of the triangle are the following three sides of a right triangle:

  1. Opposite (Opp)
  2. Adjacent (Adj)
  3. Hypotenuse (Hyp)
The opposite is the vertical side, the adjacent is the horizontal, and the line connecting the opposite and adjacent sides is the hypotenuse.

The hypotenuse is the line dividing the circle into two equal halves or two semicircles. This means that the hypotenuse is the diameter of the circle.

The two perpendicular lines of the right angle and the diameter of the circle are the three sides of a right triangle in a semicircle. Hence, the angle in a semicircle is a right triangle (a right-angled triangle).

From Pythagorean theorem, the diameter of the circle is equal to the square root of the sum of the square of the opposite side and the square of the adjacent side. This means that the hypotenuse (the diameter of the circle) is the reflection of the other two sides.

The diameter is the chord if the other two sides of the right triangle are equal. Equality here implies agreement. The angle in a semicircle is a symbol of conflict resolution if the two perpendicular sides are equal. 

The vertical line and the horizontal line are two notes, and the third line (the diameter) is the third note. When sounded together, the three lines will produce harmony. This means that the isosceles right triangle in the semicircle symbolizes harmony between two groups or two individuals.




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…


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…

Tao is a Circumbinary Disk

Gravitation Wave Astronomy reveals that Tao is a circumbinary disk describing binary black holes like the supermassive binary black hole in Markarian 231. The knowledge of the orderly nature of the universe was hidden in the Tao, and the discovery of binary black holes is the end of the mystery shrouding the ordered universe and the beginning of the end of chaos.

Since the Tao is a circumbinary disk, the two black holes constituting the binary black hole are contained in the Tao.

Each black hole is a circle described simply as Halo or Glory. The two black holes in the binary black hole are two glories. The first glory is Solar Halo, and the second glory is Lunar Halo.

Therefore the circumbinary disk is the sum of a Solar Halo and a Lunar Halo.

The Solar Halo is the day sky starting from sunrise to sunset, and the Lunar Halo is the night sky starting from sunset to sunrise. Since the sky is the sum of the night sky and the day sky, the Tao, made up of the Lunar Halo and the Solar Halo…



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