Petosiris to Nechepso is a letter describing an ancient divination technique using numerology and a diagram. It is likely to be a pseudepigraph. [1] Petosiris and Nechepso are considered to be the founders of astrology in some traditions. [2] One translation of this letter into Latin is attributed to Saint Bede, [3] and can be found in British Library, MS Cotton Tiberius C. II.
The technique is known by several names, including the Petosiris Circle, [4] the Sphere of Apuleius, Columcille's Circle, and Democritus's Sphere. The attribution of ancient authors is a typical practice of Neoplatonism and Gnosticism, and the technique may arise from this tradition. Examples of the figure are known from Anglo-Saxon manuscripts. [5]
The technique involves calculating the numerical value of a patient's name, then dividing by 30 or 29, a number derived from the lunar month to find the remainder, which is (mod 29) or (mod 30) in modular arithmetic. The number is then found on the diagram, to determine the prognosis. [6]
A, or a, is the first letter and the first vowel letter of the Latin alphabet, used in the modern English alphabet, and others worldwide. Its name in English is a, plural aes.
Apuleius was a Numidian Latin-language prose writer, Platonist philosopher and rhetorician. He was born in the Roman province of Numidia, in the Berber city of Madauros, modern-day M'Daourouch, Algeria. He studied Platonism in Athens, travelled to Italy, Asia Minor, and Egypt, and was an initiate in several cults or mysteries. The most famous incident in his life was when he was accused of using magic to gain the attentions of a wealthy widow. He declaimed and then distributed his own defense before the proconsul and a court of magistrates convened in Sabratha, near Oea. This is known as the Apologia.
Archimedes of Syracuse was an Ancient Greek mathematician, physicist, engineer, astronomer, and inventor from the ancient city of Syracuse in Sicily. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Regarded as the greatest mathematician of ancient history, and one of the greatest of all time, Archimedes anticipated modern calculus and analysis by applying the concept of the infinitely small and the method of exhaustion to derive and rigorously prove a range of geometrical theorems. These include the area of a circle, the surface area and volume of a sphere, the area of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution, the volume of a segment of a hyperboloid of revolution, and the area of a spiral.
Digamma or wau is an archaic letter of the Greek alphabet. It originally stood for the sound but it has remained in use principally as a Greek numeral for 6. Whereas it was originally called waw or wau, its most common appellation in classical Greek is digamma; as a numeral, it was called episēmon during the Byzantine era and is now known as stigma after the Byzantine ligature combining σ-τ as ϛ.
Euclid was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics.
In numerology, gematria is the practice of assigning a numerical value to a name, word or phrase by reading it as a number, or sometimes by using an alphanumerical cipher. The letters of the alphabets involved have standard numerical values, but a word can yield several values if a cipher is used.
Numerology is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in words and names. When numerology is applied to a person's name, it is a form of onomancy. It is often associated with astrology and other divinatory arts.
Pythagoras of Samos, often known mononymously as Pythagoras, was an ancient Ionian Greek philosopher, polymath, and the eponymous founder of Pythagoreanism. His political and religious teachings were well known in Magna Graecia and influenced the philosophies of Plato, Aristotle, and, through them, the West in general. Knowledge of his life is clouded by legend; modern scholars disagree regarding Pythagoras's education and influences, but they do agree that, around 530 BC, he travelled to Croton in southern Italy, where he founded a school in which initiates were sworn to secrecy and lived a communal, ascetic lifestyle.
A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science. A Venn diagram uses simple closed curves drawn on a plane to represent sets. Very often, these curves are circles or ellipses.
An astrolabe is an astronomical instrument dating to ancient times. It serves as a star chart and physical model of visible half-dome of the sky. Its various functions also make it an elaborate inclinometer and an analog calculation device capable of working out several kinds of problems in astronomy. In its simplest form it is a metal disc with a pattern of wires, cutouts, and perforations that allows a user to calculate astronomical positions precisely. It is able to measure the altitude above the horizon of a celestial body, day or night; it can be used to identify stars or planets, to determine local latitude given local time, to survey, or to triangulate. It was used in classical antiquity, the Islamic Golden Age, the European Middle Ages and the Age of Discovery for all these purposes.
Theta uppercase Θ or ϴ; lowercase θ or ϑ; Ancient Greek: θῆταthē̂ta ; Modern: θήταthī́ta ) is the eighth letter of the Greek alphabet, derived from the Phoenician letter Teth . In the system of Greek numerals, it has a value of 9.
The Hermetica are texts attributed to the legendary Hellenistic figure Hermes Trismegistus, a syncretic combination of the Greek god Hermes and the Egyptian god Thoth. These texts may vary widely in content and purpose, but by modern convention are usually subdivided into two main categories, the "technical" and "religio-philosophical" Hermetica.
The Elements is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates, propositions, and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
Pythagoreanism originated in the 6th century BC, based on and around the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in the ancient Greek colony of Kroton, in modern Calabria (Italy) circa 530 BC. Early Pythagorean communities spread throughout Magna Graecia.
The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BC. It was derived from the earlier Phoenician alphabet, and is the earliest known alphabetic script to have developed distinct letters for consonants as well as vowels. In Archaic and early Classical times, the Greek alphabet existed in many local variants, but, by the end of the 4th century BC, the Ionic-based Euclidean alphabet, with 24 letters, ordered from alpha to omega, had become standard throughout the Greek-speaking world and is the version that is still used for Greek writing today.
Autolycus of Pitane was a Greek astronomer, mathematician, and geographer. He is known today for his two surviving works On the Moving Sphere and On Risings and Settings, both about spherical geometry.
Vettius Valens was a 2nd-century Hellenistic astrologer, a somewhat younger contemporary of Claudius Ptolemy.
Hellenistic astrology is a tradition of horoscopic astrology that was developed and practiced in the late Hellenistic period in and around the Mediterranean Basin region, especially in Egypt. The texts and technical terminology of this tradition of astrology were largely written in Greek. The tradition originated sometime around the late 2nd or early 1st century BCE, and then was practiced until the 6th or 7th century CE. This type of astrology is commonly referred to as "Hellenistic astrology" because it was developed in the late Hellenistic period, although it continued to be practiced for several centuries after the end of what historians usually classify as the Hellenistic era.
Petosiris, called Ankhefenkhons, was the high priest of Thoth at Hermopolis and held various priestly degrees in the service of Sakhmet, Khnum, Amen-Re and Hathor.
The Spherics is a three-volume treatise on spherical geometry written by the Hellenistic mathematician Theodosius of Bithynia in the 2nd or 1st century BC.