Canada – Colborne, Ontario – Scottish Rite of Freemasonry Macnab Lodge No. 806 – Pythagorian Ribbon Medal 1975 Gilt Silver Medal Ribbon 80mm x 47mm (11.09 grams) MACNAB LODGE No 169 GRC, Plaque above and below ribbon, Square attached, Pythagorian’s Theorum illustraded within rectangle hanging below. WOR BRO C E FRETZ WM 1975.
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In mathematics, the Pythagorean theorem, or Pythagoras’s theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation:
- a 2 + b 2 = c 2
where c represents the length of the hypotenuse and a and b the lengths of the triangle’s other two sides. The theorem, whose history is the subject of much debate, is named for the Greek thinker Pythagoras, born around 570 BC.
The theorem has been proven numerous times by many different methods—possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.
The theorem can be generalized in various ways: to higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and to objects that are not triangles at all but n-dimensional solids. The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power; popular references in literature, plays, musicals, songs, stamps, and cartoons abound.
The Ancient and Accepted Scottish Rite of Freemasonry (the Northern Masonic Jurisdiction in the United States often omits the and, while the English Constitution in the United Kingdom omits the Scottish), commonly known as simply the Scottish Rite (or, in England and Australia, as the Rose Croix although this is only one of its degrees), is one of several Rites of Freemasonry. A Rite is a progressive series of degrees conferred by various Masonic organizations or bodies, each of which operates under the control of its own central authority. In the Scottish Rite the central authority is called a Supreme Council.
The Scottish Rite is one of the appendant bodies of Freemasonry that a Master Mason may join for further exposure to the principles of Freemasonry. It is also concordant, in that some of its degrees relate to the degrees of Symbolic (Craft) Freemasonry. In England and some other countries, while the Scottish Rite is not accorded official recognition by the Grand Lodge, only a recognised Freemason may join and there is no prohibition against his doing so. In the United States, however, the Scottish Rite is officially recognized by Grand Lodges as an extension of the degrees of Freemasonry. The Scottish Rite builds upon the ethical teachings and philosophy offered in the Craft (or Blue) Lodge, through dramatic presentation of the individual degrees.
Freemasonry or Masonry consists of fraternal organisations that trace their origins to the local fraternities of stonemasons, which from the end of the fourteenth century regulated the qualifications of stonemasons and their interaction with authorities and clients. The degrees of freemasonry retain the three grades of medieval craft guilds, those of Apprentice, Journeyman or fellow (now called Fellowcraft), and Master Mason. These are the degrees offered by Craft (or Blue Lodge) Freemasonry. Members of these organisations are known as Freemasons or Masons. There are additional degrees, which vary with locality and jurisdiction, and are usually administered by different bodies than the craft degrees.
The basic, local organisational unit of Freemasonry is the Lodge. The Lodges are usually supervised and governed at the regional level (usually coterminous with either a state, province, or national border) by a Grand Lodge or Grand Orient. There is no international, worldwide Grand Lodge that supervises all of Freemasonry; each Grand Lodge is independent, and they do not necessarily recognise each other as being legitimate.
Modern Freemasonry broadly consists of two main recognition groups. Regular Freemasonry insists that a volume of scripture is open in a working lodge, that every member profess belief in a Deity, that no women are admitted, and that the discussion of religion and politics is banned. Continental Freemasonry is now the general term for the “liberal” jurisdictions who have removed some, or all, of these restrictions.
Canada is a country, consisting of ten provinces and three territories, in the northern part of the continent of North America. It extends from the Atlantic to the Pacific and northward into the Arctic Ocean, covering 9.98 million square kilometres (3.85 million square miles) in total, making it the world’s second-largest country by total area and the fourth-largest country by land area. Canada’s common border with the United States forms the world’s longest land border. Canada is sparsely populated overall, the majority of its land territory being dominated by forest and tundra as well as the mountain range of the Rocky Mountains; about four-fifths of the population live near to the southern border. The majority of Canada has a cold or severely cold winter climate, but southerly areas are warm in summer.
The land now called Canada has been inhabited for millennia by various Aboriginal peoples. Beginning in the late 15th century, British and French colonies were established on the region’s Atlantic coast. As a consequence of various conflicts, the United Kingdom gained and lost North American territories until left, in the late 18th century, with what mostly comprises Canada today. Pursuant to the British North America Act, on July 1, 1867, three colonies joined to form the autonomous federal Dominion of Canada. This began an accretion of provinces and territories to the new self-governing Dominion. In 1931, Britain granted Canada near total independence with the Statute of Westminster 1931 and full sovereignty was attained when the Canada Act 1982 severed the vestiges of legal dependence on the British parliament.
Canada is a federal parliamentary democracy and a constitutional monarchy, Queen Elizabeth II being the current head of state. The country is officially bilingual at the federal level. It is one of the world’s most ethnically diverse and multicultural nations, the product of large-scale immigration from many countries, with a population of approximately 35 million as of 2015. Its advanced economy is the eleventh largest in the world, relying chiefly upon its abundant natural resources and well-developed international trade networks. Canada’s long and complex relationship with the United States has had a significant impact on its economy and culture.
Canada is a developed country and one of the wealthiest in the world, with the tenth highest nominal per capita income globally, and the eighth highest ranking in the Human Development Index. It ranks among the highest in international measurements of government transparency, civil liberties, quality of life, economic freedom, and education. Canada is a Commonwealth Realm member of the Commonwealth of Nations, a member of the Francophonie, and part of several major international and intergovernmental institutions or groupings including the North Atlantic Treaty Organization, the G8, the Group of Ten, the G20, the North American Free Trade Agreement and the Asia-Pacific Economic Cooperation forum.
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