Review Article the Cubit: a History and Measurement Commentary
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Discovering the History of Measurement Through Words
CONTENT BASED TEACHING + PLURILINGUAL/CULTURAL AWARENESS CONBAT UNITS OF MEASUREMENT Gayane Hovhannisyan and Áine Furlong DISCOVERING THE HISTORY OF MEASUREMENT THROUGH WORDS WORKSHEET 4 Timing: 2 hours Material required: worksheet 3 Grouping: History of measurement From Wikipedia, the free encyclopedia 1.a. Find synonyms (similar words) or explanations for each word in bold print: Units of measurement were among the earliest tools invented by humans. Primitive societies needed measures for constructing dwellings of an appropriate size and shape, fashioning clothing, or exchanging food or raw materials. Earliest: Dwellings: Appropriate: Fashioning: Raw materials: 1.b. Something’s wrong! The spaces between the words have disappeared! Can you put a line between each word and re-write the sentences correctly? Theearliestsystemsofweightsandmeasuresseemtohavebeencreatedsometime betweenthe4thand3rdmillenniaBCbytheancientpeopleslivingbetweenEgyptand theIndusValley.Theeasternpeoplesachievedgreataccuracyinmeasuringlength,mass,andti me. 1.c. The weight units have been mixed up. Can you put them in the correct order? Check http://www.etymonline.com to discover the origin of the word ounce and why it is abbreviated as oz. The smallest division ever recorded on a scale of the Bronze Age was approximately 1.704mm. Weights were based on units of 100, 0.2, 500 , 20 , 2, 5, 10, 50 , 0.5 , 0.05, CONTENT BASED TEACHING + PLURILINGUAL/CULTURAL AWARENESS CONBAT UNITS OF MEASUREMENT Gayane Hovhannisyan and Áine Furlong 200, 1 and 0.1, with each unit weighing -
The Beautiful Cubit System I Douglas 2019 the Beautiful Cubit System
The Beautiful Cubit System I Douglas 2019 The Beautiful Cubit System Ian Douglas, B.Sc [email protected] 30 June 2019 Version 1.0.0 DOI: https://doi.org/10.5281/zenodo.3263864 This work is licensed under the Creative Commons Attribution 4.0 International License. Abstract An analysis of the Egyptian Royal cubit, presenting some research and opinions flowing from that research, into what I believe was the original cubit, and how it was corrupted. I show various close arithmetic approximations and multiple ways of getting the divisions of the cubit, as well as some related measures. The cubit also encapsulates the basic components for the metric system. Keywords: Egyptology, metrology, royal cubit, cubit, metre, foot, metric system Contents 1. Introduction 2. Overview of current understanding 3. An alternative origin 4. Different ways of approximating the royal cubit 5. Different ways of getting the cubit divisions 6. Geometry, the Royal Cubit and the metric system 7. Bibliography 1. Introduction The cubit is a well-know ancient measure of length, used around various places in the Middle East and Mediterranean region in the distant past. 1 The Beautiful Cubit System I Douglas 2019 It is allegedly based on the length of a human (male) fore-arm. It is typically measured from the back of the elbow to some point between the wrist and the end of the outstretched middle finger, or in some variants, a point beyond that. The problem with this approach is that everyone’s arm is a different length. If the heights of the dynastic Egyptians is taken as representative, then their arms would have been too short to justify the accepted lengths. -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S. -
Table of Contents
Division of Measurement Standards Department of Food and Agriculture FIELD REFERENCE MANUAL 2014 California Code of Regulation Title 4, Division 9 Chapter 1 National Uniformity, Exceptions and Additions Part 7: NIST Handbook 44 Appendices A through D CALIFORNIA DEPARTMENT OF FOOD AND AGRICULTURE DIVISION OF MEASUREMENT STANDARDS DISCLAIMER DISCLAIMER This document represents the Division of Measurement Standards’ field manual for enforcing regulations pertaining to weights and measures in California. This field manual is not to be considered as the official Code of Regulations, as published by Barclays Law Publishers. NOTE: Language in Handbook 44 that is not adopted is annotated “[NOT ADOPTED]” in this document. NOTE: Requirements are different than, or in addition to, the requirements of Handbook 44 are included in the appropriate section this document. They are shaded, bordered, and numbered in the 4002 series to differentiate them from the Handbook 44 requirements. To find the latest online version of the California Code of Regulations (CCR) Title 4, Division 9, visit the California Office of Administration Law at: http://ccr.oal.ca.gov/linkedslice/default.asp?SP=CCR-1000&Action=Welcome The CCR may also be accessed at http://oal.ca.gov/ by selecting the link Titled “California Code of Regulations” under the list of “Sponsored Links” in the left column on the OAL Home page. For information concerning the contents of this document, please contact the Division of Measurement Standards by e-mail at [email protected]. Links to NIST Handbook 44 (2014 Edition) - Specifications, Tolerances, and Other Technical Requirements for Weighing and Measuring Devices as adopted by the 98th National Conference on Weights and Measures 2013 are available for viewing and downloading by simultaneously holding the “Ctrl” key and clicking the mouse on the desired format. -
The History of Measurements
Helicobacter pylori Some Historical Units of Measurement History of Measurement • Objects were initially measured for convenience, to aid commerce and prevent fraud. • The Egyptians among other civilizations were the first to begin recording measurements around 3200 BC. • Early measurement units were based on body parts or common objects. Historical Units of Length and their equivalence chart ➢ Digit: the breadth of a finger (Egyptian) ➢ Barleycorn: the length of a barleycorn seed ➢ Inch: the width of a man’s thumb or 3 barleycorns ➢ Foot: the length of a man’s foot ➢ Cubit: elbow to fingertip length (Egyptian) ➢ Yard: nose to fingertip length ➢ Mile: 5000 pedes (feet, Roman) ➢ League: 7500 pedes Historical Units of Mass/Volume and their equivalence chart ➢ Grain: the weight of a grain of wheat or barleycorn ➢ Pound (libra): ~5000 grains (Roman) or ~7000 grains (English) ➢ Talent: 100 libra ➢ Stone: 14 pounds (English/British) ➢ Troy Ounce: 1/12 of a pound ➢ Carat: weight of a carob seed The Cubit The cubit is the measure from your elbow to the tip of your middle finger when your arm is extended. The cubit was the measurement used by the Egyptians to build the pyramids. The Palm The palm is the width of your four fingers when they are placed together. The Fathom The fathom is the measure from fingertip to fingertip when your arms are stretched sideways as far as they will go. The fathom was used by sailors to measure the depth of water so that boats would not run aground. The Hand-span The hand-span is the measure from the tip of your pinky to the tip of your thumb when your hand is stretched out. -
SCIENTIFIC MEASUREMENTS © 2019, 2004, 1990 by David A
SCIENTIFIC MEASUREMENTS © 2019, 2004, 1990 by David A. Katz. All rights reserved. A BRIEF HISTORY OF MEASUREMENT Measurement was among one of the first intellectual achievements of early humans. People learned to measure centuries before they learned how to write and it was through measurement that people learned to count. People of the Peking and Neanderthal periods had implements constructed from materials individually determined to be the right length or weight for a particular purpose. A tool that worked well became the model and standard for another. (See Figure 1) To measure distance, they used their fingers, hands, arms, legs, etc... Measurement of weights were based on use of certain containers or what a person or beast could haul. Each unit was separate and unrelated since their ability to count was not developed. Figure 1. A stone ax and stones cut to the same size by comparison Since humans have ten fingers, we learned to count measurements from the Hittite by tens, and ways were soon found to relate units to Museum in Cappadocia, Turkey. each other. Some of the most well known of the early units of measurement were: inch - the width of the thumb. digit - the width of the middle finger (about 3/4 inch) palm - the width of four fingers (about 3 inches) span - the distance covered by the spread hand (about 9 inches) foot - the length of the foot. Later expressed as the length of 36 -barleycorns taken from the middle of the ear (about 12 inches). cubit - distance from the elbow to the tip of the middle finger (about 18 inches). -
Nbs Metric Publications
] 10 11 12 13 14 15 National Bureau of Standards from the *Joz (jood WleaAure Washington, D. C. 20234 2 3 5 inches I I I I I I I I I I I I I I I 1 1 I I I I I I I I I I I I I I I I I I I I I I I I I I 1 1 1 1 ; 1 1 1 1 1 1 1 f I I I I I I I I I ihhlilililili I I I I I 6. 10 11 12 13 14 15 7oz $ood VHeatuze from the National Bureau of Standa rds Washington, D. C. inches 4 I I I I I I I I I I I I I I lllllhlllllll 'lllllllll JiIiIUjI, llllh Lt-I 1 I I 1 1 1 UjJUJUJLlIj . S. DEPARTMENT OF COMMERCE ational Bureau of Standards NBS Special Publication 365 U. S. DEPARTMENT OF COMMERCE National Bureau of Standards NBS Special Publication 365 ashington. D. C. 20234 Revised May 1976 CO: METRIC CONVERSION CARD Washington, D. C. 20234 Revised May 1976 CO: METRIC CONVERSION CARD Approximate Conversions to Metric Measures Metric Measures ymbol When Yuu Know Multiply by To Find Symbo Approximate Conversions to LENGTH When You Kn To Find Symbol 1 1 \t.i;i inn inches 2.5 centimeters cm in inches 2.5 centimeters cm lit feet 30 centimeters cm ft feet 30 centimeters cm idrd yards 0.9 meters m yd yards 0.9 meters m ' ni miles 1.6 kilometers km AREA mi miles 1.6 kilometers km AREA .<n' square inches 6.5 2 CD: square centimeters cm 2 CO in square inches 6.5 square centimeters cm" k¥ square feet 0.09 square meters m" 2 J 2 ft square feet 0.09 square meters m ,d square yards 0.8 square meters m* 2 2 1' yd square yards 0.8 square meters m «ini" square miles 2.6 square kilometers km 2 mi2 square miles 2.6 square kilometers km acres 0.4 hectares ha in: acres 0.4 hectares ha lO: MASS (we Rht) MASS (weight) miz ounces 28 grams g oz ounces 28 grams lib pounds 0.45 kilograms kg lb pounds 0.45 kilograms kg short tons 0.9 metric ton t short tons 0.9 metric ton t (2000 lb) VOLUME (20001b) VOLUME ;P teaspoons 5 milliliters ml. -
English Customary Weights and Measures
English Customary Weights and Measures Distance In all traditional measuring systems, short distance units are based on the dimensions of the human body. The inch represents the width of a thumb; in fact, in many languages, the word for "inch" is also the word for "thumb." The foot (12 inches) was originally the length of a human foot, although it has evolved to be longer than most people's feet. The yard (3 feet) seems to have gotten its start in England as the name of a 3-foot measuring stick, but it is also understood to be the distance from the tip of the nose to the end of the middle finger of the outstretched hand. Finally, if you stretch your arms out to the sides as far as possible, your total "arm span," from one fingertip to the other, is a fathom (6 feet). Historically, there are many other "natural units" of the same kind, including the digit (the width of a finger, 0.75 inch), the nail (length of the last two joints of the middle finger, 3 digits or 2.25 inches), the palm (width of the palm, 3 inches), the hand (4 inches), the shaftment (width of the hand and outstretched thumb, 2 palms or 6 inches), the span (width of the outstretched hand, from the tip of the thumb to the tip of the little finger, 3 palms or 9 inches), and the cubit (length of the forearm, 18 inches). In Anglo-Saxon England (before the Norman conquest of 1066), short distances seem to have been measured in several ways. -
Burgage Plot Patterns and Dimensions in Four Scottish Burghs
Proc Soc Antiq Scot 138 (2008),BURGAGE 223–238 PLOT PATTERNS AND DIMENSIONS IN FOUR SCOTTISH BURGHS | 223 Burgage plot patterns and dimensions in four Scottish burghs Robin Tait* ABSTRACT A comparison is reported of cartographic studies that have been made of the burgage plots in Edinburgh, Canongate, St Andrews and Perth. The results confirm and extend those of earlier studies of St Andrews and Perth. In particular, the presence of plots differing in width by quarter-widths is confirmed. The earlier reports of some plots not complying with this scheme are discussed, and it is demonstrated that the plot widths in the four burghs all do in fact conform. It is suggested that the plots were set out to these varying widths rather than the pattern resulting from later subdivision and amalgamation of plots of uniform width. Possible measurement units which may have been used in setting out the plots are discussed. A systematic pattern of the closes used to access the backlands is reported and it is suggested that a degree of central control is likely to have been exercised over their positioning. INTRODUCTION crops and for small scale manufacturing and other purposes. In later years, the backlands The initial major stimulus to found and develop were increasingly built over, the new buildings Scottish burghs came from David I (1124–53) normally conforming to established plot and a number of burghs were granted their boundaries (Coleman 2004: 293–6). For Royal Charter in the first half of the 12th century centuries, the integrity of the plot boundaries (MacQueen & Windram 1988: 208–9; Lynch, was maintained under the supervision of a burgh Spearman & Stell 1988: 3; Ewan 1990: 1). -
The English Measurement System
THE ENGLISH MEASUREMENT SYSTEM The measurement system commonly used in the United States today is nearly the same as that brought by the colonists from England. These measures had their origins in a variety of cultures –Babylonian, Egyptian, Roman, Anglo-Saxon, and Norman French. The ancient "digit," "palm," "span" and "cubic" units of length slowly lost preference to the length units "inch," "foot," and "yard." Roman contributions include the use of 12 as a base number (the foot is divided into 12 inches) and the words from which we derive many of our present measurement unit names. For example, the 12 divisions of the Roman "pes," or foot were called unciae. Our words "inch" and "ounce" are both derived from that Latin word. The "yard" as a measure of length can be traced back to early Saxon kings. They wore a sash or girdle around the waist that could be removed and used as a convenient measuring device. The word "yard" comes from the Saxon word "gird" meaning the circumference of a person’s waist. Standardizing various units and combining them into loosely related systems of measurement units sometimes occurred in fascinating ways. Tradition holds that King Henry I decreed that a yard should be the distance from the tip of his nose to the end of his outstretched thumb. The length of a furlong (or furrow-long) was established by early Tudor rulers as 220 yards. This led Queen Elizabeth I to declare in the 16th century, that henceforth the traditional Roman mile of 5000 feet would be replaced by one of 5280 feet, making the mile exactly eight furlongs and providing a convenient relationship between the furlong and the mile. -
History of Measurement
History of Measurement by Table of Contents Egyptians 1 Leonardo Da'Vinci 2 Roman Empire 3 Units of Measurement 4 English Standards & King James 5 Units of Measurement 6 French Academy 7 Units of Measurement 8 Pivotal Moments 9 References 10 Cover 11 Egyptians 1 cubit = 6 palms = 24 fingers Palm = 4 fingers Hand = 5 fingers Fist = 6 fingers Span = 14 fingers Rod = 100 cubits 1. Shaftment 2. Hand 3. Palm 4. Span 5. Finger 6. Digit Leonardo Da'Vinci Roman Empire 1 foot = 16 fingers (digitus in Latin) or 12 thumbs (inch in Latin) 1 mile = 1000 paces 1 yard = 1 pace Henry I of England His Foot, Thumb, etc. (inch in Latin) became the standard unit size as established by the Office of Weights and Measures Units of Measurement Length • 12 lines = 1 inch • 12 inches = 1 foot • 3 feet = 1 yard • 1760 yards = 1 mile • 36 inches = 1 yard • 440 yards = quarter mile • 880 yards = half mile • 100 links = 1 chain • 10 chains = 1 furlong • 8 furlongs = 1 mile • 4 inches = 1 hand • 22 yards = 1 chain • 5.5 yards = 1 rod, pole or perch • 4 poles = 1 chain • 40 poles = 1 furlong King James Bible Biblical Units of Measurement • Bath = 5.8 gallons Cubit = 17 – 21 inches Ephah = 20 quarts Farthing = ¼ cents Gerah = .02 ounces Hin = 1 gallon Homer = 58 gallons Mina = 1.26 pounds Mite = 1/8 cents Omer = 2 quarts Penny = 16 cents ■ Pound = 100 shekels or 16 dollars Shekel = .4 ounces Span = 9 inches Talent = 75 pounds French Academy of Science Rather than based on human proportions and ratios, Metric system’s: • length (miter) was based on the dimensions of the Earth (one ten- millionth of the distance from the equator to the North Pole) • mass (kilogram) was based on water with volume of 1 liter • temperature based on boiling point and freezing point of water. -
History of Measurement
BUILDING INDUSTRY TECHNOLOGY ACADEMY: YEAR ONE CURRICULUM Short History of Measurement Directions: Working with a partner read the following statements concerning the history of our modern measurement terms. Clues to solving each statement are contained within each statement and the measurement vocabulary can be found in the Word Bank below. yard inch cubit kerosene acre hand foot metric system tobacco 1. This measurement of approximately 4 inches is still used to calculate how tall a horse is. It is the ______________________________. 2. Tired of relying on the length of the previous king’s girdles in determining the length of this unit of measurement, Henry the First decreed: “Henceforth, the shall be the distance from the tip of my nose to the tip of my thumb.” 3. The most common unit of measurement in the United States, the Romans referred to it as “one- twelfth of a foot.” It roughly equals the width of a person’s thumb, but since 1959, the has officially equaled 2.54 Dcentimeters. 4. In 1812, Napoleon noted that the French people were still clinging to traditional units of measurement; even though the was officially adopted by the French government in 1795. This system of Dmeasurement originally derived its name from the Greek word “metron”, meaning “measure”. Today it is also known by the initials SI, or System International, and was legalized in the United States in 1866. 5. The is one of the earliest known units of measurement. It was the standard unit of measurement for thousands of years in many civilizations, though it has widely gone out of popular use today.