An inverted pedal is a pedal that is not in the bass. It is often in the highest part.
Euclidean geometry
Euclidean geometry is a system in mathematics. People think Euclid was the first person who described it; therefore, it bears his name. He first described it in his textbook "Elements". The book was the first systematic discussion of geometry as it was known at the time. In the book, Euclid first assumes a few axioms. These form the base for later work. They are intuitively clear. Starting from those axioms, other theorems can be proven.
In the 19th century other forms of geometry were found. These are non-Euclidean geometry. Carl Friedrich Gauss, János Bolyai, and Nikolai Ivanovich Lobachevsky were some people that developed such geometries. Very often, these do not use the parallel postulate, but the other four axioms.
Euclid makes the following assumptions. These are axioms, and need not be proved.
Euclidean geometry is a first-order theory. With it, statements like "For all triangles..." can be made, and be proven. Statements like "For all sets of triangles..." are outside the scope of the theory.
János Bolyai
János Bolyai (December 15, 1802 – January 27, 1860) was a Hungarian mathematician, known for his work in non-Euclidean geometry.
Diana (mythology)
In Roman mythology, Diana was the goddess of hunting, and in later times, the moon and chastity. Cypress trees were sacred to her. She was the daughter of Jupiter and the Titan Latona (or Leto). In Greek mythology, Diana was called Artemis. She is also associated with fertility and nature. Artemis is her Greek equivalent.
According to mythology Diana was born with her twin brother Apollo on the island of Delos. Apollo was her only real brother but she had many half brothers and sisters from her father. Her half-siblings were Vulcan, Minerva, Mercury, Bacchus, Mars, and Proserpine. Diana made a group of three with two other Roman deities: Egeria the water nymph, her servant and midwife helper; and Virbius, the god of the woods. Diana is a maiden goddess which means she can't marry.
Thoth
In Egyptian mythology, Thoth was the deity of scribes. He is thought to be one of the most important said to be born from the skull of Seth also said to be born from the heart of Ra.
Thoth was considered the heart and tongue of Ra. He was also the one who translated Ra's will into speech.
The main shrine of Thoth was at Khemennu. It was there that he was the head of the local company of deities. He also had shrines in Abydos, Hesert, Urit, Per-Ab, Rekhui, Ta-ur, Sep, Hat, Pselket, Talmsis, Antcha-Mutet, Bah, Amen-heri-ab, and Ta-kens.
Thoth was mostly prayed in the early dynasty. He was also prayed through the five days of celebration. They would sing hymns and chant spells for Thoth. There were many celebrations like "The feast of Thoth" in the year. He was a major god for the early dynasty.
Thoth played very important roles in Egyptian myths. He was said to have resurrected Osiris after he was slain by Seth and also later resurrected his son, Horus. He was also credited for creating 365 days instead of 360. One myth explains how Ra bans Nut from having children on any day of the year. Thoth then goes to the moon god, Khonsu, and gambles five days out of him, therefore giving five days (the demon days) when Nut can have children. He also was sometimes said to take the place of the Primeval Goose and be the creator of the world and all other gods.
Thoth had one direct relation to Ma'at that people know of, although some myths say he was the son of Ra. His feminine counterpart was a goddess named Seshat. She was also sometimes credited to be the inventor of hieroglyphs, while Thoth taught them. She was also said to be Thoth’s wife or daughter.
Ma'at also played a big role next to Thoth. He was there at the weighing of the heart, noting, while Ma’at weighed the heart. They both stood on either side of Ra’s boat and also he was sometimes said to be Ma’at’s husband. Ma'at was the goddess of law, order, truth, and justice.
Thoth was a unique god. He is said to have two forms: an ibis-headed human and a squatting dog-headed baboon. He held a stylus and a pallet, and sometimes the symbol of life, called the Ankh.
Thoth had many titles and a lot of roles. He was often called “Three times Great”. He was mediator, messenger, scribe and teacher. Some of his titles included;
‘Scribe of Ma’at in the company of the gods’
‘Lord of Ma’at’
‘Lord of divine words’
‘Judge of the two combatant gods’
‘Three times great’ or ‘Thrice Great’
These numerous titles show that Thoth had a very significant importance to ancient Egyptian mythology. He had his high point of worship in the Old Kingdom.
When the Greeks conquered Egypt, they equated Thoth with Hermes, their messenger god. Thoth’s central city was Khemenu, (where he has his chief temple) which the Greeks renamed to Hermopolis, city of Hermes. Today, ancient temples and ruins worshiping Thoth are there and what used to be Khemenu is now el-Eshmunein.
List of Germanic deities
This is a list of Germanic deities that are in Norse mythology.
Divided between the "Æsir" and the "Vanir", and sometimes including the "jötnar" (giants), the dividing line between these groups is less than clear. However, it is usually accepted that the Æsir (including Óðinn, Þór and Týr) were warrior gods, while the Vanir (mainly Njörður, Freyja and Freyr) were fertility gods. Various other groups of beings, including elves, dwarves and jötnar were probably minor gods, and might have had small cults and sacred places devoted to them.
List of Egyptian gods and goddesses
This is a list of Egyptian Gods and goddesses from Egyptian mythology. The old Egyptians worshipped a few gods at different times and in different places. Some gods changed in importance over time or were nonexistent until later eras.
Nut (goddess)
In Egyptian mythology, Nut was the goddess of the sky. Her body made a protective layer over the Earth. Nut was the sister and wife of Geb, and the mother of (with Ra) Osiris, Nephthys,Isis and Seth and grandmother of Horus. Horus was also a grandchild of Ra.
The ancient Egyptians believed that Nut swallowed the sun-god, Ra, every night and gave birth to him every morning.
Although Nut was pictured in many temples and tombs, as well as on ceilings. She was not well observed in popular places.
Nut was the goddess of the sky but had many other purposes as well. She had three other names: Nuit, Newet, and Nueth. Nut was known as the mother of all gods, including Ra (her grandfather) because she swallowed him up every night and gave birth to him again in the morning. She was also the mother of heavenly bodies, whose laughter was thunder and tears were rain. She often carried the sun across the sky. She played a part in funeral beliefs and was sometimes drawn on the tops of sarcophagi. Nut was one of the nine major gods. She was the personification of the sky and the heavens. Egyptians called her "the mother of the sky". Nut was one of the oldest deities among history.
As the sky goddess, Nut was shown arching over Geb (earth god), her fingertips near his head and her toes by his feet. She was commonly pictured dark blue and wore no robes, although some Egyptians believed that Nut wore a rainbow-colored robe, with stars all over her body. Big paintings of her were often found on ceilings of tomb chambers. She can be seen with small vulture wings or a vase on her head. She was often shown as a cow, when carrying the sun across the sky. The cow was a very motherly figure.
Nut was a very beautiful and kind goddess. She was loving, and caring. She fell in love with Thoth, the god of knowledge, and Geb, the god of the Earth. She was a motherly figure and a very strong and independent goddess, for she would not marry just any person. She did what she wanted and when angered she never let anyone stand in her way.