The Units of Length in the Spanish Treatises of Military Engineering
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Nat. Hazards Earth Syst. Sci., 14, 2867–2882, 2014 www.nat-hazards-earth-syst-sci.net/14/2867/2014/ doi:10.5194/nhess-14-2867-2014 © Author(s) 2014. CC Attribution 3.0 License. A catalog of high-impact windstorms in Switzerland since 1859 P. Stucki1, S. Brönnimann1, O. Martius1,2, C. Welker1, M. Imhof3, N. von Wattenwyl1, and N. Philipp1 1Oeschger Centre for Climate Change Research and Institute of Geography, University of Bern, Bern, Switzerland 2Mobiliar Lab for Natural Risks, Bern, Switzerland 3Interkantonaler Rückversicherungsverband, Bern, Switzerland Correspondence to: P. Stucki ([email protected]) Received: 17 April 2014 – Published in Nat. Hazards Earth Syst. Sci. Discuss.: 28 May 2014 Revised: 12 September 2014 – Accepted: 23 September 2014 – Published: 4 November 2014 Abstract. In recent decades, extremely hazardous wind- The damage to buildings and forests from recent, extreme storms have caused enormous losses to buildings, infrastruc- windstorms, such as Vivian (February 1990) and Lothar (De- ture and forests in Switzerland. This has increased societal cember 1999), have been perceived as unprecedented and and scientific interest in the intensity and frequency of his- unanticipated (Bründl and Rickli, 2002; Holenstein, 1994; torical high-impact storms. However, high-resolution wind Schüepp et al., 1994; Brändli, 1996; WSL, 2001). data and damage statistics mostly span recent decades only. Public perception of a potentially increasing windstorm For this study, we collected quantitative (e.g., volumes of hazard (Schmith et al., 1998) motivated several studies on windfall timber, losses relating to buildings) and descriptive the intensity and occurrence frequency of high-impact storms (e.g., forestry or insurance reports) information on the impact (e.g., Pfister, 1999). -
AFT Fathom Quick Start Guide
AFT Fathom™ Quick Start Guide Metric Units AFT Fathom Version 10 Incompressible Pipe Flow Modeling Dynamic solutions for a fluid world ™ CAUTION! AFT Fathom is a sophisticated pipe flow analysis program designed for qualified engineers with experience in pipe flow analysis and should not be used by untrained individuals. AFT Fathom is intended solely as an aide for pipe flow analysis engineers and not as a replacement for other design and analysis methods, including hand calculations and sound engineering judgment. All data generated by AFT Fathom should be independently verified with other engineering methods. AFT Fathom is designed to be used only by persons who possess a level of knowledge consistent with that obtained in an undergraduate engineering course in the analysis of pipe system fluid mechanics and are familiar with standard industry practice in pipe flow analysis. AFT Fathom is intended to be used only within the boundaries of its engineering assumptions. The user should consult the AFT Fathom Help System for a discussion of all engineering assumptions made by AFT Fathom. Information in this document is subject to change without notice. No part of this Quick Start Guide may be reproduced or transmitted in any form or by any means, electronic or mechanical, for any purpose, without the express written permission of Applied Flow Technology. © 2018 Applied Flow Technology Corporation. All rights reserved. Printed in the United States of America. First Printing. “AFT Fathom”, “Applied Flow Technology”, “Dynamic solutions for a fluid world”, and the AFT logo are trademarks of Applied Flow Technology Corporation. Excel and Windows are trademarks of Microsoft Corporation. -
Dien Mit Zukunft Meyer-Stoll, Phil.-Hist
Druckerei C.H . Beck Medien mit Zukunft Meyer-Stoll, Phil.-hist. Abh. 136 ..................................... Revision, 20.12.2010 BAYERISCHE AKADEMIE DER WISSENSCHAFTEN PHILOSOPHISCH-HISTORISCHE KLASSE ABHANDLUNGEN . NEUE FOLGE, HEFT 136 Revision Cornelia Meyer-Stoll Die Maß- und Gewichtsreformen in Deutschland im 19. Jahrhundert unter besonderer Berücksichtigung der Rolle Carl August Steinheils und der Bayerischen Akademie der Wissenschaften Vorgelegt von Knut Borchardt in der Sitzung vom 7. Mai 2010 MÜNCHEN 2010 VERLAG DER BAYERISCHEN AKADEMIE DER WISSENSCHAFTEN IN KOMMISSION BEIM VERLAG C. H. BECK MÜNCHEN Druckerei C.H . Beck Medien mit Zukunft Meyer-Stoll, Phil.-hist. Abh. 136 ..................................... Revision, 20.12.2010 ISSN 0005–710X ISBN 978 3 7696 0124 4 © Bayerische Akademie der Wissenschaften, München 2010 Gesamtherstellung: Druckerei C. H. Beck, Nördlingen Gedruckt auf säurefreiem, alterungsbeständigem Papier (hergestellt aus chlorfrei gebleichtem Zellstoff) Printed in Germany Druckerei C.H . Beck Medien mit Zukunft Meyer-Stoll, Phil.-hist. Abh. 136 ..................................... Revision, 21.12.2010 Ludwig Thiersch: Carl August Ritter von Steinheil (1801–1870) Bayerische Akademie der Wissenschaften Revision Druckerei C.H . Beck Medien mit Zukunft Meyer-Stoll, Phil.-hist. Abh. 136 ..................................... Revision, 21.12.2010 Druckerei C. H . Beck Medien mit Zukunft .................Meyer-Stoll, Phil.-hist..................... Abh. 136 Revision, 17.12.2010 -
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. -
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. -
The History of Measurements
Helicobacter pylori Some Historical Units of Measurement Historical Units of Length ➢ 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 ➢ Mile: 5000 pedes (feet, Roman) ➢ League: 7500 pedes Historical Units of Mass/Volume ➢ 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. Hand-span was used to measure the height of horses. People still describe horses as being so many hands high. The Pace The pace is the measure of distance from one step to another. -
Metric Doodle Notes
METRICS Cornell Doodle Notes Sampler TEACHER NOTES These Cornell Doodle Notes combine two effective note-taking strategies and can be used to introduce or review the metric system. The notes are organized by an Essential Question at the top, Topic Questions along the left column, details/pictures in the right column, and a Sum It Up page at the end for students to practice their skills. They begin with a section that shows why the Imperial system is quite silly (especially for science!). Then, they present that 10 is the ‘magic number’ of the Metric system, and proceed to explain the S.I. Units of mass, length, fluid volume, and time, the prefixes, a mnemonic device to remember the prefixes, and then to explain how to convert between metric units. Cornell Notes are a note-taking strategy in which topic questions are written in a narrow left-hand column and definitions, explanations, and diagrams are filled in in the right-hand column. At the bottom of Cornell Notes, there is typically a section included for reflection on the lesson’s main points. See the example to the right. Doodle Notes (or Sketch Notes) are another note- taking strategy for which pictures and graphics activate the visual pathways of the brain, which helps with retention of information when compared to standard note-taking. Your visual learners will really benefit from seeing and coloring in the pictures aside the main points of the notes! My architect husband drew the graphics for these notes. We hope your students like them! Doodle Notes is a registered trademark used with permission. -
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). -
Imperial Units
Imperial units From Wikipedia, the free encyclopedia Jump to: navigation, search This article is about the post-1824 measures used in the British Empire and countries in the British sphere of influence. For the units used in England before 1824, see English units. For the system of weight, see Avoirdupois. For United States customary units, see Customary units . Imperial units or the imperial system is a system of units, first defined in the British Weights and Measures Act of 1824, later refined (until 1959) and reduced. The system came into official use across the British Empire. By the late 20th century most nations of the former empire had officially adopted the metric system as their main system of measurement. The former Weights and Measures office in Seven Sisters, London. Contents [hide] • 1 Relation to other systems • 2 Units ○ 2.1 Length ○ 2.2 Area ○ 2.3 Volume 2.3.1 British apothecaries ' volume measures ○ 2.4 Mass • 3 Current use of imperial units ○ 3.1 United Kingdom ○ 3.2 Canada ○ 3.3 Australia ○ 3.4 Republic of Ireland ○ 3.5 Other countries • 4 See also • 5 References • 6 External links [edit] Relation to other systems The imperial system is one of many systems of English or foot-pound-second units, so named because of the base units of length, mass and time. Although most of the units are defined in more than one system, some subsidiary units were used to a much greater extent, or for different purposes, in one area rather than the other. The distinctions between these systems are often not drawn precisely. -
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. -
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.