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Vesica Piscis
The vesica piscis is a type of lens, a mathematical shape formed by the intersection of two disks with the same radius, intersecting in such a way that the center of each disk lies on the perimeter of the other. In Latin, "" literally means "bladder of a fish", reflecting the shape's resemblance to the conjoined dual air bladders (swim bladder) found in most fish. In Italian, the shape's name is ' ("almond"). A similar shape in three dimensions is the lemon. This figure appears in the first proposition of Euclid's ''Elements'', where it forms the first step in constructing an equilateral triangle using a compass and straightedge. The triangle has as its vertices the two disk centers and one of the two sharp corners of the vesica piscis. Mathematical description Mathematically, the vesica piscis is a special case of a lens, the shape formed by the intersection of two disks. The mathematical ratio of the height of the vesica piscis to the width across its center is the squar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vesica Piscis Circles
Vesica (: vesicae) is Latin for "bladder", may refer to: Anatomy * Vesica, mainly used for the urinary bladder * Vesica, also used for the gallbladder * Vesica, in entomology used for a part of the male genitals * ''Trigonum vesicae urinariae'', Latin for trigone of urinary bladder Shapes * Vesica piscis, a shape formed by the intersection of two circles of the same radius {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Measurement Of A Circle
''Measurement of a Circle'' or ''Dimension of the Circle'' ( Greek: , ''Kuklou metrēsis'') is a treatise that consists of three propositions, probably made by Archimedes, ca. 250 BCE. The treatise is only a fraction of what was a longer work. Propositions Proposition one Proposition one states: The area of any circle is equal to a right-angled triangle in which one of the sides about the right angle is equal to the radius, and the other to the circumference of the circle. Any circle with a circumference ''c'' and a radius ''r'' is equal in area with a right triangle with the two legs being ''c'' and ''r''. This proposition is proved by the method of exhaustion. Proposition two Proposition two states: The area of a circle is to the square on its diameter as 11 to 14. This proposition could not have been placed by Archimedes, for it relies on the outcome of the third proposition. Proposition three Proposition three states: The ratio of the circumference of any circle to its ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Freemasonry
Freemasonry (sometimes spelled Free-Masonry) consists of fraternal groups that trace their origins to the medieval guilds of stonemasons. Freemasonry is the oldest secular fraternity in the world and among the oldest still-existing organizations in history. Modern Freemasonry broadly consists of three main traditions: *Anglo-American Freemasonry, Anglo-American style Freemasonry, which insists that a "volume of sacred law", such as the Bible, Quran, or other religious text be open in a working Masonic lodge, lodge, that every member professes belief in a God, supreme being, that only men be admitted, and discussion of religion or politics does not take place within the lodge. *Continental Freemasonry or Liberal Freemasonry which has continued to evolve beyond these restrictions, particularly regarding religious belief and political discussion. *Co-Freemasonry, Women Freemasonry or Co-Freemasonry, which includes organizations that either admit women exclusively (such as the Ord ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Catholic Church
The Catholic Church (), also known as the Roman Catholic Church, is the List of Christian denominations by number of members, largest Christian church, with 1.27 to 1.41 billion baptized Catholics Catholic Church by country, worldwide as of 2025. It is among the world's oldest and largest international institutions and has played a prominent role in the history and development of Western civilization.Gerald O'Collins, O'Collins, p. v (preface). The church consists of 24 Catholic particular churches and liturgical rites#Churches, ''sui iuris'' (autonomous) churches, including the Latin Church and 23 Eastern Catholic Churches, which comprise almost 3,500 dioceses and Eparchy, eparchies List of Catholic dioceses (structured view), around the world, each overseen by one or more Bishops in the Catholic Church, bishops. The pope, who is the bishop of Rome, is the Papal supremacy, chief pastor of the church. The core beliefs of Catholicism are found in the Nicene Creed. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ecclesiastical Heraldry
Ecclesiastical heraldry refers to the use of heraldry within Christianity for dioceses, organisations and Christian clergy. Initially used to mark documents, ecclesiastical heraldry evolved as a system for identifying people and dioceses. It is most formalized within the Catholic Church, where most bishops, including the Pope, have a personal coat of arms. Clergy in Anglican, Lutheran, Eastern Catholic and Eastern Orthodox churches follow similar customs, as do institutions such as schools and dioceses. Ecclesiastical heraldry differs notably from other heraldry in the use of special insignia around the shield to indicate rank in a church or denomination. The most prominent of these insignia is the low crowned, wide brimmed ecclesiastical hat, commonly the Roman ''galero''. The color and ornamentation of this hat indicate rank. Cardinals are famous for the "red hat", while other offices and churches have distinctive colors of hat, such as black for priests and green for bis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ichthys
The ichthys or ichthus (), from the Greek (, 1st cent. AD Koinē Greek pronunciation: , "fish") is, in its modern rendition, a symbol consisting of two intersecting arcs, the ends of the right side extending beyond the meeting point so as to resemble the profile of a fish. It has been speculated that the symbol was adopted by early Christians as a secret symbol; a shibboleth to determine if another was indeed Christian.Robert Mowat, “ΙΧΘΥΣ,” in Atti del II° congresso internazionale di archeologica cristi-ana tenuto in Roma nell’ aprile 1900 (Rome: Spithöver, 1902), 1–8Rasimus, T. ,2011''Revisiting the Ichthys: A Suggestion Concerning the Origins of Christological Fish Symbolism'' Pp 327-348 in '' Mystery and Secrecy in the Nag Hammadi Collection and Other Ancient Literature: Ideas and Practices.'' Biblical Studies, Ancient Near East and Early Christianity E-Books Online. "Such solutions, once popular, include the fish as a secret symbol for persecuted Christ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ecclesiastical Seal
A seal is a device for making an impression in wax, clay, paper, or some other medium, including an embossment on paper, and is also the impression thus made. The original purpose was to authenticate a document, or to prevent interference with a package or envelope by applying a seal which had to be broken to open the container (hence the modern English verb "to seal", which implies secure closing without an actual wax seal). The seal-making device is also referred to as the seal ''matrix'' or ''die''; the imprint it creates as the seal impression (or, more rarely, the ''sealing''). If the impression is made purely as a relief resulting from the greater pressure on the paper where the high parts of the matrix touch, the seal is known as a ''dry seal''; in other cases ink or another liquid or liquefied medium is used, in another color than the paper. In most traditional forms of dry seal the design on the seal matrix is in intaglio (cut below the flat surface) and therefore the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aureola
An aureola or aureole (diminutive of Latin ''aurea'', "golden") is the radiance of luminous cloud which, in paintings of sacred personages, surrounds the whole figure. In Romance languages, the noun Aureola is usually more related to the disc of light surrounding the head of sacred figures, which in English is called halo or nimbus. In Indian religions, the back or head halo is called ''prabhāmaṇḍala'' or ''prabhavali''. In art In the earliest periods of Christian art it was confined to the figures of the persons of the Christian Godhead, but it was afterwards extended to the Virgin Mary and to several of the saints. The aureola, when enveloping the whole body, generally appears oval or elliptical in form, but occasionally depicted as circular, vesica piscis, or quatrefoil. When it appears merely as a luminous disk round the head, it is called specifically a '' halo'' or ''nimbus'', while the combination of nimbus and aureole is called a '' glory''. The strict di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Christian Art
Christian art is sacred art which uses subjects, themes, and imagery from Christianity. Most Christian groups use or have used art to some extent, including early Christian art and architecture and Christian media. Images of Jesus and narrative scenes from the Life of Christ in art, Life of Christ are the most common subjects, and scenes from the Old Testament play a part in the art of most denominations. Images of the Mary (mother of Jesus), Virgin Mary and saints are much rarer in Protestant art than that of Catholic Church, Roman Catholicism and Eastern Orthodoxy. Christianity makes far wider use of images than related religions, in which figurative representations are forbidden, such as Aniconism in Islam, Islam and Aniconism in Judaism, Judaism. However, there are some that have promoted aniconism in Christianity, and there have been periods of iconoclasm within Christianity. History Beginnings Early Christian art survives from dates near the origins of Christianity, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Reuleaux Triangle
A Reuleaux triangle is a circular triangle, curved triangle with curve of constant width, constant width, the simplest and best known curve of constant width other than the circle. It is formed from the intersection of three circle, circular disks, each having its center on the boundary of the other two. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation. Because its width is constant, the Reuleaux triangle is one answer to the question "Other than a circle, what shape can a manhole cover be made so that it cannot fall down through the hole?" They are named after Franz Reuleaux,. a 19th-century German engineer who pioneered the study of machines for translating one type of motion into another, and who used Reuleaux triangles in his designs. However, these shapes were known before his time, for instance by the designers of Gothic architecture, Gothic church windows, by Leonardo da Vinci, who used it for a O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Triquetra
The triquetra ( ; from the Latin adjective ''triquetrus'' "three-cornered") is a triangular figure composed of three interlaced arcs, or (equivalently) three overlapping '' vesicae piscis'' lens shapes. It is used as an ornamental design in architecture, and in medieval manuscript illumination (particularly in the Insular tradition). Its depiction as interlaced is common in Insular ornaments from about the 7th century. In this interpretation, the triquetra represents the topologically simplest possible knot. History Iron Age The term ''triquetra'' in archaeology is used of any figure consisting of three arcs, including a pinwheel design of the type of the triskeles. Such symbols become frequent from about the 4th century BC ornamented ceramics of Anatolia and Persia, and it appears on early Lycian coins. The triquetra is found on runestones in Northern Europe, such as the Funbo Runestones, and on early Germanic coins. It bears a resemblance to the '' valknut'', a design ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Venn Diagram
A Venn diagram is a widely used diagram style that shows the logical relation between set (mathematics), 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 on a plane to represent sets. The curves are often circles or ellipses. Similar ideas had been proposed before Venn such as by Christian Weise in 1712 (''Nucleus Logicoe Wiesianoe'') and Leonhard Euler in 1768 (''Letters to a German Princess''). The idea was popularised by Venn in ''Symbolic Logic'', Chapter V "Diagrammatic Representation", published in 1881. Details A Venn diagram, also called a ''set diagram'' or ''logic diagram'', shows ''all'' possible logical relations between a finite collection of different sets. These diagrams depict element (mathematics), elements as points in the plane, and sets as r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
