{"id":4813,"date":"2014-05-22T11:42:14","date_gmt":"2014-05-22T09:42:14","guid":{"rendered":"https:\/\/www.antiquitatem.com\/en\/hours-minutes-seconds-almagest-sumer\/"},"modified":"2014-05-22T11:42:14","modified_gmt":"2014-05-22T09:42:14","slug":"hours-minutes-seconds-almagest-sumer","status":"publish","type":"post","link":"https:\/\/www.antiquitatem.com\/en\/hours-minutes-seconds-almagest-sumer\/","title":{"rendered":"Why the hour\u2019s dividers are called  minutes and minute\u2019s dividers are called seconds?"},"content":{"rendered":"<p><b>Perhaps some reader has ever asked about  so seemingly irrelevant question as the origin of the names \u00abminute\u00bb and \u00absecond\u00bb, the time\u2019s  dividers, but  any knowledge is valuable.<\/b><\/p>\n<p>\n\t<em>History Begins at Sumer: Thirty-Nine &quot;Firsts&quot; in Recorded History<\/em> (1956)&nbsp; is the title of a famous work of <em>Noah Krame<\/em>r published in the fifties of the last century. The <em>Sumerians <\/em>were pioneered on writing, astronomy, mathematics, etc.. Egyptians learned a lot from them and from both (Sumerians and their descendants in the area, Babylonians, Persians, etc.., and Egyptians) learned Greeks and other Mediterranean peoples.<\/p>\n<p>\n\tIn Sumer there is any indication of a numeral system with five as the base, <em>quinary<\/em>, undoubtedly related to the five fingers. They also used a <em>dozenal <\/em>(<em>duodecimal<\/em>) system with base twelve,&nbsp; base-12;&nbsp; (they had it pointing with the thumb three phalanges in each of the remaining four fingers); it is related to the twelve moons of the year &#8230; They used also a <em>decimal <\/em>system, <em>denary <\/em>),base-10, associated with the ten hand&rsquo;s fingers.<\/p>\n<p>\n\tInterestingly also they&nbsp; used a <em>sexagesimal <\/em>system,&nbsp; (base 60)&nbsp; but we do not know exactly its origin. It is thought that this system facilitated the equivalence between the <em>decimal <\/em>and <em>dozenal <\/em>(duodecimal), since the divisors of 60 are 1, 2, 3, 4,5, 6, 10, 12, 20, 30, 60.<\/p>\n<p>\n\tWell, from the <em>dozenal <\/em>(duodecimal) and <em>sexagesimal <\/em>systems, from the Sumerians approaches&nbsp; and&nbsp; Egyptian and Greek , it was established&nbsp; the division of time in <em>hours<\/em>, these in <em>minutes<\/em>, and these in <em>seconds<\/em>. And this is the system that we employed.<\/p>\n<p>\n\tThe same system is applied to the division of space.<\/p>\n<p>\n\tSo the current measures of the <em>angles <\/em>in <em>degrees <\/em>and <em>minutes<\/em>, this one of the <em>clock <\/em>face or timing measure, and this one of the <em>earth <\/em>orb&nbsp; globe with <em>latitude <\/em>and <em>longitude <\/em>coordinates,&nbsp; have their origin in the numeral system invented by the <em>Sumerians <\/em>and <em>Babylonians <\/em>4,000 years ago.<\/p>\n<p>\n\t<em>Eratosthenes<\/em>, Greek mathematician and astronomer (c. 276-194 BC) used the <em>sexagesimal <\/em>system to divide the circle into 60 parts or degrees (the Latin word <em>gradus <\/em>means <em>step<\/em>) and created the horizontal parallel lines from east to west to indicate the <em>latitude<\/em>.<\/p>\n<p>\n\tA century later <em>Hipparchus <\/em>created a system of vertical lines going from north to south, dividing the sphere into 360 degrees.<\/p>\n<p>\n\tAt mid-second century A.D. <em>Ptolemy <\/em>developed the work of <em>Hipparchus <\/em>and divided the 360 degrees each one&nbsp; into 60 smaller parties in his work&nbsp; &ldquo;<em>Almagest<\/em>&rdquo;.&nbsp; These fractions are called &quot;<em>partes minutae primae<\/em>&quot;, ie, <em>&quot;first small parts<\/em>.&quot; Again he fractionated&nbsp; these first parts into&nbsp; other smaller&nbsp; 60, and he called these &quot;<em>partes minutae secundae<\/em> &quot;, ie &quot;<em>second small parts<\/em>.&quot;<\/p>\n<p>\n\tThe first fraction, the &quot;<em>partes minutae primae<\/em>&quot; ended up being called &quot;<em>minutae<\/em>&quot;, &quot;<em>small<\/em>&quot;, from where we derive our word &quot;<em>minute<\/em>&quot;.<\/p>\n<p>\n\tThe second fraction, &quot;<em>partes minutae secundae<\/em>&quot;, &quot;<em>second small parts<\/em>&quot;, ended up being called &quot;<em>secundae<\/em>&quot;, and from this&nbsp; were&nbsp; derive the&nbsp; word&nbsp; &quot;<em>second<\/em>&quot;.<\/p>\n<p>\n\t<em>Note<\/em>: <em>Ptolemy <\/em>wrote his work&nbsp; in Greek and it is named &Mu;&alpha;&theta;&eta;&mu;&alpha;&tau;&iota;&kappa;\u1f74 &Sigma;\u03cd&nu;&tau;&alpha;&xi;&iota;&sigmaf; (<em>Mathematike Syntax<\/em>), <em>Mathematical Composition<\/em>. In Latin it was known as <em>Syntaxis mathematica<\/em>. It was then called &#39;\u1f29 &Mu;&epsilon;&gamma;\u1f71&lambda;&epsilon; &Sigma;\u03cd&nu;&tau;&alpha;&xi;&iota;&sigmaf;&#39; <em>He Megale Syntaxis, Great syntax, the Great Treatise<\/em>.<\/p>\n<p>\n\tThe superlative of Greek adjective &mu;&epsilon;&gamma;\u1f71&lambda;&epsilon;, <em>megale, great, big<\/em>,&nbsp; is &mu;&epsilon;&gamma;\u03af&sigma;&tau;&eta;, &mu;\u1f73&gamma;&iota;&sigma;&tau;&omicron;&sigmaf;, <em>megiste, megistos,<\/em> (<em>the greatest, the largest<\/em>). The word <em>Almagest <\/em>is the Arabized form, with&nbsp; presenter or article &quot;<em>al<\/em>-&quot;, of the Greek superlative &mu;&epsilon;&gamma;\u03af&sigma;&tau;&eta;: <em>al-Majisti<\/em> (\u0627\u0644\u0645\u062c\u0633\u0637\u064a). <em>Gerard of Cremona<\/em> translated this book from Arabic into Latin in the famous school of <em>Toledo <\/em>in 1175, which won a great importance in European scientific world.<\/p>\n<p>\n\tMoreover, the division of hours into sixty minutes and minutes into sixty seconds only became widespread in use much later, when the man was able to build mechanical clocks to mark&nbsp; that duration, ie, from the sixteenth century , XVII &#8230;<\/p>\n<p>\n\tIt is still an interesting curiosity how in the necessary division of the seconds we do not longer use the <em>sexagesimal&nbsp; <\/em>system but the <em>decimal <\/em>: we talk with&nbsp; <em>tenths <\/em>and <em>hundredths <\/em>and <em>thousandths <\/em>of a second<\/p>\n<p>\n\tServe this current coexistence of numbering systems as evidence of possible coexistence also of the <em>dozenal <\/em>(<em>duodecimal<\/em>)&nbsp; system, the <em>decimal <\/em>and <em>sexagesimal <\/em>in ancient <em>Sumer<\/em>.<\/p>\n<p>\n\tI&#39;ll talk another time about the division of time&nbsp; in hours by&nbsp; <em>Greeks <\/em>and <em>Romans <\/em>. It is enough now to know that in Greek mythology, \u1f6b&rho;&alpha;&iota; (<em>Horai<\/em>) were originally goddesses who&nbsp; marked the passing of the <em>seasons <\/em>and they have evolved to be twelve, each one for the twelve divisions of the day.<br \/>\n\t&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Perhaps some reader has ever asked about  so seemingly irrelevant question as the origin of the names \u00abminute\u00bb and \u00absecond\u00bb, the time\u2019s  dividers, but  any knowledge is valuable.<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,6,13,14,5],"tags":[],"class_list":["post-4813","post","type-post","status-publish","format-standard","hentry","category-culture","category-habits","category-history","category-language-literature","category-science"],"_links":{"self":[{"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/posts\/4813","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/comments?post=4813"}],"version-history":[{"count":0,"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/posts\/4813\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/media?parent=4813"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/categories?post=4813"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.antiquitatem.com\/en\/wp-json\/wp\/v2\/tags?post=4813"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}