Re-Configuring an Engineering Drawing Course: Mapping Goals and Methods to Leverage CADD Functionality
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Mathematics Is a Gentleman's Art: Analysis and Synthesis in American College Geometry Teaching, 1790-1840 Amy K
Iowa State University Capstones, Theses and Retrospective Theses and Dissertations Dissertations 2000 Mathematics is a gentleman's art: Analysis and synthesis in American college geometry teaching, 1790-1840 Amy K. Ackerberg-Hastings Iowa State University Follow this and additional works at: https://lib.dr.iastate.edu/rtd Part of the Higher Education and Teaching Commons, History of Science, Technology, and Medicine Commons, and the Science and Mathematics Education Commons Recommended Citation Ackerberg-Hastings, Amy K., "Mathematics is a gentleman's art: Analysis and synthesis in American college geometry teaching, 1790-1840 " (2000). Retrospective Theses and Dissertations. 12669. https://lib.dr.iastate.edu/rtd/12669 This Dissertation is brought to you for free and open access by the Iowa State University Capstones, Theses and Dissertations at Iowa State University Digital Repository. It has been accepted for inclusion in Retrospective Theses and Dissertations by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. INFORMATION TO USERS This manuscript has been reproduced from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer. The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margwis, and improper alignment can adversely affect reproduction. in the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. -
Elements of Descriptive Geometry
Livre de Lyon Academic Works of Livre de Lyon Science and Mathematical Science 2020 Elements of Descriptive Geometry Francis Henney Smith Follow this and additional works at: https://academicworks.livredelyon.com/sci_math Part of the Geometry and Topology Commons Recommended Citation Smith, Francis Henney, "Elements of Descriptive Geometry" (2020). Science and Mathematical Science. 13. https://academicworks.livredelyon.com/sci_math/13 This Book is brought to you for free and open access by Livre de Lyon, an international publisher specializing in academic books and journals. Browse more titles on Academic Works of Livre de Lyon, hosted on Digital Commons, an Elsevier platform. For more information, please contact [email protected]. ELEMENTS OF Descriptive Geometry By Francis Henney Smith Geometry livredelyon.com ISBN: 978-2-38236-008-8 livredelyon livredelyon livredelyon 09_Elements of Descriptive Geometry.indd 1 09-08-2020 15:55:23 TO COLONEL JOHN T. L. PRESTON, Professor of Latin Language and English Literature, Vir- ginia Military Institute. I am sure my associate Professors will vindicate the grounds upon which you arc singled out, as one to whom I may appro- priately dedicate this work. As the originator of the scheme, by which the public guard of a State Arsenal was converted into a Military School, you have the proud distinction of being the “ Father of the Virginia Military Institute ” You were a member of the first Board of Visitors, which gave form to the organization of the Institution; you were my only colleague during the two first and trying years of its being; and you have, for a period of twenty-eight years, given your labors and your influence, in no stinted mea- sure, not only in directing the special department of instruc- tion assigned to you, but in promoting those general plans of development, which have given marked character and wide- spread reputation to the school. -
An Analytical Introduction to Descriptive Geometry
An analytical introduction to Descriptive Geometry Adrian B. Biran, Technion { Faculty of Mechanical Engineering Ruben Lopez-Pulido, CEHINAV, Polytechnic University of Madrid, Model Basin, and Spanish Association of Naval Architects Avraham Banai Technion { Faculty of Mathematics Prepared for Elsevier (Butterworth-Heinemann), Oxford, UK Samples - August 2005 Contents Preface x 1 Geometric constructions 1 1.1 Introduction . 2 1.2 Drawing instruments . 2 1.3 A few geometric constructions . 2 1.3.1 Drawing parallels . 2 1.3.2 Dividing a segment into two . 2 1.3.3 Bisecting an angle . 2 1.3.4 Raising a perpendicular on a given segment . 2 1.3.5 Drawing a triangle given its three sides . 2 1.4 The intersection of two lines . 2 1.4.1 Introduction . 2 1.4.2 Examples from practice . 2 1.4.3 Situations to avoid . 2 1.5 Manual drawing and computer-aided drawing . 2 i ii CONTENTS 1.6 Exercises . 2 Notations 1 2 Introduction 3 2.1 How we see an object . 3 2.2 Central projection . 4 2.2.1 De¯nition . 4 2.2.2 Properties . 5 2.2.3 Vanishing points . 17 2.2.4 Conclusions . 20 2.3 Parallel projection . 23 2.3.1 De¯nition . 23 2.3.2 A few properties . 24 2.3.3 The concept of scale . 25 2.4 Orthographic projection . 27 2.4.1 De¯nition . 27 2.4.2 The projection of a right angle . 28 2.5 The two-sheet method of Monge . 36 2.6 Summary . 39 2.7 Examples . 43 2.8 Exercises . -
Descriptive Geometry Section 10.1 Basic Descriptive Geometry and Board Drafting Section 10.2 Solving Descriptive Geometry Problems with CAD
10 Descriptive Geometry Section 10.1 Basic Descriptive Geometry and Board Drafting Section 10.2 Solving Descriptive Geometry Problems with CAD Chapter Objectives • Locate points in three-dimensional (3D) space. • Identify and describe the three basic types of lines. • Identify and describe the three basic types of planes. • Solve descriptive geometry problems using board-drafting techniques. • Create points, lines, planes, and solids in 3D space using CAD. • Solve descriptive geometry problems using CAD. Plane Spoken Rutan’s unconventional 202 Boomerang aircraft has an asymmetrical design, with one engine on the fuselage and another mounted on a pod. What special allowances would need to be made for such a design? 328 Drafting Career Burt Rutan, Aeronautical Engineer Effi cient travel through space has become an ambi- tion of aeronautical engineer, Burt Rutan. “I want to go high,” he says, “because that’s where the view is.” His unconventional designs have included every- thing from crafts that can enter space twice within a two week period, to planes than can circle the Earth without stopping to refuel. Designed by Rutan and built at his company, Scaled Composites LLC, the 202 Boomerang aircraft is named for its forward-swept asymmetrical wing. The design allows the Boomerang to fl y faster and farther than conventional twin-engine aircraft, hav- ing corrected aerodynamic mistakes made previously in twin-engine design. It is hailed as one of the most beautiful aircraft ever built. Academic Skills and Abilities • Algebra, geometry, calculus • Biology, chemistry, physics • English • Social studies • Humanities • Computer use Career Pathways Engineers should be creative, inquisitive, ana- lytical, detail oriented, and able to work as part of a team and to communicate well. -
1938-1939 Undergraduate Catalogue
^ BULLETIN OF THE ^ UNIVERSITY OF VERMONT AND STATE AGRICULTURAL COLLEGE BURLINGTON ------- VERMONT VOLUME XXXVI — MARCH, 1939 — NUMBER 3 sofias 17SI THE CATALOGUE 19 3 8 -1 9 3 9 ANNOUNCEMENTS 19 3 9 -1 9 40 Published by the University of Vermont and State Agricultural College, Burlington, Vermont, four times a year; in January, February, March and October, and entered as second-class matter under Act of Congress of August 24, 1912 r 1 L Contents PAGE CALENDAR 5 UNIVERSITY CALENDAR 6-7 ADMINISTRATION 8-3 8 Board of Trustees 8—10 Office Hours 10 Officers of Instruction and Administration; Employees 11—27 Committees of the University Senate 27—28 Experiment Station Staff 28—30 Extension Service Staff 30—3 3 Summer School Faculty, 1938 34—3 8 GENERAL INFORMATION 39-98 Location 39 Charters, Corporations, History of the Colleges 39-44 Buildings and Grounds 44—5 6 Fees and Expenses 5 6-61 Employment, Loan Funds and Scholarships 61-73 Prizes 74-79 Honors 79-80 Degrees , 81 Graduate Study 82—86 University Extension 87-88 The Summer Session 8 8—89 Educational Conferences 89 Military Training 90 Physical Education and Athletics 90—92 Religious Life 92—93 Organizations 93—95 University Lectures 96 Publications 96 Regulations 97-98 ADMISSION 99-126 The Academic Colleges . 99—107 Methods of Admission . 107—110 Entrance Subjects 111—123 Special and Unclassified Students 123 Admission to Advanced Standing 123—124 Preliminary Registration and Enrollment 124 The College of Medicine, Requirements for Admission 125—126 COURSES OF INSTRUCTION 127-222 The -
Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (21St, Lahti, Finland, July 14-19, 1997)
DOCUMENT RESUME ED 416 082 SE 061 119 AUTHOR Pehkonen, Erkki, Ed. TITLE Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (21st, Lahti, Finland, July 14-19, 1997). Volume 1. INSTITUTION International Group for the Psychology of Mathematics Education. ISSN ISSN-0771-100X PUB DATE 1997-00-00 NOTE 335p.; For Volumes 2-4, see SE 061 120-122. PUB TYPE Collected Works Proceedings (021) EDRS PRICE MF01/PC14 Plus Postage. DESCRIPTORS Communications; *Educational Change; *Educational Technology; Elementary Secondary Education; Foreign Countries; Higher Education; *Mathematical Concepts; Mathematics Achievement; *Mathematics Education; Mathematics Skills; Number Concepts IDENTIFIERS *Psychology of Mathematics Education ABSTRACT The first volume of the proceedings of the 21st annual meeting of the International Group for the Psychology of Mathematics Education contains the following 13 full papers: (1) "Some Psychological Issues in the Assessment of Mathematical Performance"(0. Bjorkqvist); (2) "Neurcmagnetic Approach in Cognitive Neuroscience" (S. Levanen); (3) "Dilemmas in the Professional Education of Mathematics Teachers"(J. Mousley and P. Sullivan); (4) "Open Toolsets: New Ends and New Means in Learning Mathematics and Science with Computers"(A. A. diSessa); (5) "From Intuition to Inhibition--Mathematics, Education and Other Endangered Species" (S. Vinner); (6) "Distributed Cognition, Technology and Change: Themes for the Plenary Panel"(K. Crawford); (7) "Roles for Teachers, and Computers" (J. Ainley); (8) "Some Questions on Mathematical Learning Environments" (N. Balacheff); (9) "Deepening the Impact of Technology Beyond Assistance with Traditional Formalisms in Order To Democratize Access To Ideas Underlying Calculus"(J. J. Kaput and J. Roschelle); (10) "The Nature of the Object as an Integral Component of Numerical Processes"(E. -
Architectural Drawing (TE 8437) Grades 10 - 12 One Credit, One Year Counselors Are Available to Assist Parents and Students with Course Selections and Career Planning
Department of Teaching & Learning Parent/Student Course Information Technical Design and Illustration Program Architectural Drawing (TE 8437) Grades 10 - 12 One Credit, One Year Counselors are available to assist parents and students with course selections and career planning. Parents may arrange to meet with the counselor by calling the school's guidance department. COURSE DESCRIPTION The courses in engineering and technology provide opportunities for students to acquire skills and knowledge necessary for technological literacy, entry-level careers, and lifelong learning. Students learn Virginia’s 21 Workplace Readiness Skills within the content area. Those who are completing a two-year sequence have the opportunity to verify their knowledge of the workplace readiness skills through an industry assessment. This course provides students with the opportunity to learn more about the principles of architecture and related drafting practices and techniques. It provides helpful information for the homeowner and is beneficial to the future architect, interior designer, or homebuilder. Students use resource materials, standard books, and computers as they learn the general principles, practices and techniques of architectural drawing. The course includes designing residential structures and drawing plot plans, elevations, schedules and renderings. PREREQUISITE Basic Technical Drawing CERTIFICATION Students successfully completing the Technical Design and Illustration Program of Study will be prepared for the AutoCAD REVIT and or AutoCAD Architecture industry credential. STUDENT ORGANIZATION Technology Student Association (TSA) is a co-curricular organization for all students enrolled in engineering and technology courses. Students are encouraged to be active members of their youth organization to develop leadership and teamwork skills and to receive recognition for their participation in local, regional, state and national activities. -
Descriptive Geometry for CAD Users: Ribs Construction
Journal for Geometry and Graphics Volume 18 (2014), No. 1, 115–124. Descriptive Geometry for CAD Users: Ribs Construction Evgeniy Danilov Department of Graphics, Dnepropetrovsk National University of Railway Transport 2, Lazaryan str., Dnepropetrovsk, 49010, Ukraine email: [email protected] Abstract. In 3D modeling CAD users often face problems that can be success- fully analyzed and solved only by the methods of Descriptive Geometry. One such problem is considered in this paper: the construction of structural elements of machine parts known as stiffening ribs. In addition, a possible geometry of ribs is analyzed and a review is performed of tools for its modeling available in up-to- date CAD packages. Some features are shown that are useful in representing parts with ribs in technical drawing manuals. An innovative approach is developed for educational purposes. Key Words: stiffening rib, Descriptive Geometry, CAD MSC 2010: 51N05, 97U50 1. Introduction Most current curricula suggest that Descriptive Geometry training be done concurrently with practicing the use of one or more CAD packages. As students begin to use the powerful 3D modeling capabilities of these packages for solving problems of classical Descriptive Geom- etry, they also are mastering CAD. They often solve positional and metrical problems by modeling geometrical objects and their interaction in virtual 3D space [3, 6], thereby avoiding Descriptive Geometry methods. Afterward students do not see the necessity of spatial prob- lems being solved by using plane images and they lose interest in the study of Descriptive Geometry. That impedes their academic progress and their training as engineers. It can be argued that the study of Descriptive Geometry is not possible without clear examples of how its apparatus works in solving problems that arise in the process of 3D modeling. -
1931–32 General Catalog
`University ' of California Bulletin THIRD SERIES, Vol. XXV, No. 4 CIRCULAR OF INFORMATION UNIVERSITYOF CALIFORNIA AT LOS ANGELES SEPTEMBER, 1931 UNIVERSITY OF CALIFORNIAPRESS BERKELEY, CALIFORNIA For Sale by the Students' Cooperative Book Store, 405 Hilgard Avenue, Los Angeles Price Five Cents Administrative Bulletins of the University of California 1931-32. No.4 The bulletins concerning the colleges , schools, and departments of the University are listed below. For copies of these circulars, and for further. information, address the University of California Press, Berkeley, except in those cases where Los Angeles and San Francisco are indicated. The circulars are sent free except those for which a price (which includes postage) isgiven. The Circular of Information, with reference primarily to the Under- graduate Division at Berkeley: containing general information about the University, its organization , requirements for admission to under- graduate status, and for the bachelor's degree in the colleges of Letters and Science, Agriculture, Commerce, and Engineering; students' fees and expenses. Sent free by mail by the University Press on request. A charge of 5 cents is made for copies distributed on the University Campus. The Annual Announcement of Courses of Instruction in the Departments at Berkeley. Price, 30 cents. The Circular of Information of the University of California at Los Angeles: containing general information about the University, requirements for admission to undergraduate status, and for the bachelor' s degree in the College of Letters and Science, in the Teachers College, and in the Branch of the College of Agriculture in Southern California; students' fees and expenses. Sent free by mail by the University Press on request. -
Features and Design Intent in Engineering Sketches
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Repositori Institucional de la Universitat Jaume I Features and Design Intent in Engineering Sketches Raquel Plumed1, Peter Varley2, Pedro Company2 1 Department of Mechanical Engineering and Construction [email protected] 2 Institute of New Imaging Technologies [email protected], [email protected] Universitat Jaume I, Castellón de la Plana, Spain Abstract We investigate the problem of determining design intent from engineering sketches: what did the designer have in mind when sketching a component? Specifically, we consider the unidirectional reverse mapping from form features, as determined from an input sketch, to design features, representing the design intent present in the designer’s mind. We introduce a list of com- mon engineering form features. For each, we list which geometrical cues may be helpful in identifying these features in design sketches, and we list the design features which such form features commonly imply. We show that a reductionist approach which decomposes a diagram into form features can be used to deduce the design intent of the object portrayed in a drawing. We supply experimental results in support of this idea. 1 Introduction We aim to provide tools for design engineers who are already familiar with (and make good use of) the various features of state- of-the-art CAD packages, but who want the additional freedom offered by sketching when in the creative phase of designing a new product. Hence, we are interested in the interpretation of sketches of engineering components, both singly and in assemblies. -
CIJE1978 ABSTRACT: the MAIN POINT of THIS ESSAY IS TN§ 1Hr ACCESSION NUMBER;` 1J112249 SOUND ENERGY and Environmentalfolicy Is ONE THAT Erves NEEDS of LABOR
%I- I , AVAILABILITY.; -REPRINT AVAILABLE (SEE P. VII): UMI DESCRIPTOR: iicoNomIcsi 4.EMPtovolENTI ENERGY; mEtIVIRONMENTI * LABOR UNIONS; LABOR EC0NOMICs; POLIGY1 UNEMPLOYMENT JOGRNAL CITATION:. SCIENCE NEWS; 113; 16; 255 ISSUE; CIJE1978 ABSTRACT: THE MAIN POINT OF THIS ESSAY IS TN§ 1hr ACCESSION NUMBER;` 1J112249 SOUND ENERGY AND ENVIRONMENTALfOLICY is ONE THAT ERves NEEDS OF LABOR. 'THE ROLE OF LABOR /1,4 THE CONFLIC S BETH fN CLEARINGHOUSE ACCESSION NUMBER: 4E521937 ENERGY, ENVIRONMENT, ANO EMPLOYMENT IS DISCUSSED. NDR1 PUBLICATION ATE1 APR 78 AVAILABILITY: REPRINT AVAILABLE (SEE P..V111: UMI TITLE: THE SOL TRANSITION JOURNAL CITATION: ALTERNATIVES; 7; 3; 4 -13:16 P ER1ONAL AUTHOR: MMORIR, BARRY ApToet: .Ecomomicsi *ENERGY; *FEDERAL GOVERNMENTI' fACCESSION,NUIBER: EJ182600 IgrATIINIMAATAFIRItIMI WITATRIW2211 CCEARINGHOUSE ACCESSION NUMBER: AA528218 . ISSUE:, CIJEI97e . PUBLICATION FEB 78 :::// A gRwITEANET:11/ TITLE: 1977 MAJOR EOUCATION EVENT C FACIfill4LVESF141141111A2N111 Iga, NERGY PRE EN ED., IMR1 PERSONAL! AUTHOK: BROOINSKY, BEN e - 'AVilLASILITT.i REPRINT AVAILABLE (SEE P. VIII: UMI DEICRITON: *EDUCATIONAL TIEVEOPmENTi oMANDICAWED CH LOR *SUPREME COuR LITIGATI0N; *ENERGY CONSERVATIDN1 JOURNAL C)TATION: ENVIRONMENT; 20; 3,; 6- 10,13, op REN , REACTION; . GRAMiNG IBROAOCA5T11 CORPORAL PUNISHMENT ISSUE: C1JE1978 ACCESSION NUMBER; EJI82250 i, ABSTRACT: OESCRIBES THE EFFORT TO HANDICAPPED CLEAINGHOUSE ACCESSION NUMBER: 5E521938 CHILDREN UNDER PUBLIC 94-1421 DISCUSSDISCUSSES ESLUPREME CO T ACTION ON THE BAKKE CASE ANO ON CORPORAL -
Treatment of Diagrams in Document Image Analysis
Treatment of Diagrams in Document Image Analysis Dorothea Blostein, Edward Lank, Richard Zanibbi Computing and Information Science Queen’s University, Kingston Ontario, Canada, K7L 3N6 {blostein, lank, zanibbi}@cs.queensu.ca Document image analysis is the study of converting documents from paper form to an electronic form that captures the information content of the document. Necessary processing includes recognition of document layout (to determine reading order, and to distinguish text from diagrams), recognition of text (called Optical Character Recognition, OCR), and processing of diagrams and photographs. The processing of diagrams has been an active research area for several decades. A selection of existing diagram recognition techniques are presented in this paper. Challenging problems in diagram recognition include (1) the great diversity of diagram types, (2) the difficulty of adequately describing the syntax and semantics of diagram notations, and (3) the need to handle imaging noise. Recognition techniques that are discussed include blackboard systems, stochastic grammars, Hidden Markov Models, and graph grammars. 1. Introduction This paper concerns itself with diagram recognition, which is one component of document image analysis. Document image analysis involves conversion of a scanned document to an electronic form that captures the information content of the document [49]. The scope of diagram recognition problems is characterized by the following dimensions. • The diagram notation A great diversity of diagram notations are in use. Recognition techniques have been developed for a variety of notations, including engineering drawings [21] [22] [33] [35] [72], mathematics notation [1] [10] [17] [25] [28] [71], music notation [4] [9] [23] [36], chemical structure diagrams [46], circuit diagrams [14] [37] [51], and line drawings [13] [52] [62].