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Angle in a Semicircle

The angle in a semicircle is a right angle. 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.



Qibla Compass

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 centre of the comp…

Isosceles Right Triangle

An isosceles right triangle is a triangle with two 45° angles, a right angle and two equal sides. The side opposite the right angle is the base and the two equal angles are the base angles. The ratio of the sides opposite the two 45° angles is 1:1.

Isosceles right triangle is the product of an isosceles triangle and a right triangle.

The three sides of the isosceles right triangle correspond to the following three sides of a right triangle:
OppositeAdjacentHypotenuse The three sides are equal to the three persons of the Blessed Trinity as follows:
Opposite = Father (First Person) Adjacent = Son (Second Person) Hypotenuse = Holy Spirit (Third Person)
The linear magnitude of each person of the Blessed Trinity can be calculated via any of the six trigonometric ratios if either the angle facing the opposite side or the angle facing the adjacent side is known.
Let the angle facing the opposite side be Y. The side opposite the right angle is the hypotenuse and the remaining side is the adja…


Mandala is a two dimensional representation of the axis mundi: the junction between the physical and the metaphysical. The physical is man or the earth, the metaphysical is God or heaven (sky), and Mandala is where God and man or heaven (sky) and earth are reconciled.

The universe is the sum of heaven and earth.

Universe = Heaven (Sky) + Earth

A mandala (emphasis on first syllable; Sanskrit मण्डल, maṇḍala – literally "circle") is a spiritual and ritual symbol in Hinduism and Buddhism, representing the universe(Wikipedia)
We learnt from the Taiji that the axis mundi represents balance or stability. Therefore the universe of the axis mundi is the orderly universe known as the cosmos, which means that Mandala is a two-dimensional representation of the cosmos.

"mandala" has become a generic term for any diagram, chart or geometric pattern that represents the cosmos metaphysically or symbolically; a microcosm of the universe. (Wikipedia)
Mandala is simply a square and …



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