[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-59285-en":3,"doc-seo-59285-105":30,"detail-sidebar-cat-0-en-105":82},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":13,"seo_description":14,"update_tm":28,"read_time":29},59285,7971461741311,"Ophelia","https://ap-avatar.wpscdn.com/avatar/74000253aff267980c6?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345379180704826",2,"Literature","William Oughtred A Great Seventeenth-Century Teacher OfMathematics Florian Cajori","This document is a scholarly work focusing on the life and contributions of William Oughtred, a significant mathematician of the seventeenth century. Authored by Florian Cajori, a Professor of Mathematics at Colorado College, the book delves into Oughtred's biographical details, including his schooling, his role as a rector and amateur mathematician, his family life, and the challenges he faced. It meticulously details his principal works, such as \"Clavis mathematicae,\" \"Circles of Proportion,\" and \"Logarithms,\" and elaborates on his invention of the slide rule, including controversies surrounding its priority. The text also explores Oughtred's influence on mathematical progress and teaching, examining his relationship with contemporaries like Harriot and Descartes, the impact of his notations, and his ideas on pedagogy. A significant portion is dedicated to Oughtred's philosophy on teaching mathematics, emphasizing it as a \"science of the eye\" that requires rigorous thinking and the use of instruments, with notable comments from Isaac Newton. The book includes an index to facilitate further research into Oughtred's legacy.","# CUGHTREDCAC○R2\n\nmust\\#1°  \np  \n\n| Hathematical lihrary  \u003Cbr>n f  \u003Cbr>Clmer chugler  \u003Cbr>Bracklgit,N但-  \u003Cbr>9.28   |\n| --- |\n\n# SCHUYLEK\n\n 87-91 Brooklyn.  \no1.16,192   \n# WILLIAM OUGHTRED\n\nWILLIAM OUGHTRED  \n# A GREAT SEVENTEENTH-CENTURYTEACHER OF\n\nMATHEMATICS  \nFLORIAN CAJORI,PH.D.  \nProfessor of MathematicsColorado College  \nLONDON  \nCHICAGO  \nTHE OPEN COURT PUBLISHING COMPANY  \n1916  \nCoPYRIGHT I916 ByTHE OPEN CoURT PUBLISHING Co.  \nAll Rights Reserved  \nPublished September rg16  \nComposed and Printed ByThe University of Chicago PressChicago,Illinois,U.S.A.  \n## TABLE OF CONTENTS\n\nPAGE  \n## INTRODUCTION...\n\nI  \nCHAPTER  \n## I.OUGHTRED's LIFE\n\n3  \nAt School and University..3As Rector and Amateur Mathematician...6His Wife .  \nIn Danger of Sequestration8His Teaching  \nAppearance and Habits·  I2Alleged Travel Abroad.I4His Death  \nII.PRINCIPAL WORKS .  .·  ·I7Clavis mathematicae .·  ·  ·  I7Circles of Proportion and Trigonometrie ..   35Solution of Numerical Equations.....39Logarithms ....  ..  .46Invention of the Slide Rule;Controversy onPriority of Invention .......46  \nIII.MINOR WORKS .    ...  \n.  ·  ·  50  \n## IV.OUGHTRED's INFLUENCE UPON MATHEMATICAL PROG-\n\nRESS AND TEACHING ·  ······57  \nOughtred and Harriot.·.·....57Oughtred's Pupils.  .  .  .  .·58  \nOughtred,the“Todhunter of the Seventeenth  \nCentury”...   .60Was Descartes Indebted to Oughtred?...69The Spread of Oughtred's Notations.    ..73  \n## Table of Contents\n\nPAGE  \nCHAPTER  \nV.OUGHTRED's IDEAS ON THE TEACHING OF MATHE-MATICS...·.······.84General Statement .  .  .  .。..84Mathematics,\"a Science of the Eye\"...85Rigorous Thinking and the Use of Instruments.87Newton's Comments on Oughtred ....94  \nINDEX .  \n···97","cbCaidg4NZHwtN14","https://ap.wps.com/l/cbCaidg4NZHwtN14","pdf",6138048,3,1,114,"English","en",105,"# INTRODUCTION\n# I. OUGHTRED's LIFE\n## At School and University\n## As Rector and Amateur Mathematician\n## His Wife\n## In Danger of Sequestration\n## His Teaching\n## Appearance and Habits\n## Alleged Travel Abroad\n## His Death\n# II. PRINCIPAL WORKS\n## Clavis mathematicae\n## Circles of Proportion and Trigonometrie\n## Solution of Numerical Equations\n## Logarithms\n## Invention of the Slide Rule;Controversy on Priority of Invention\n# III. MINOR WORKS\n# IV. OUGHTRED's INFLUENCE UPON MATHEMATICAL PROGRESS AND TEACHING\n## Oughtred and Harriot\n## Oughtred's Pupils\n## Oughtred,the“Todhunter of the Seventeenth Century”\n## Was Descartes Indebted to Oughtred?\n## The Spread of Oughtred's Notations\n# V. OUGHTRED's IDEAS ON THE TEACHING OF MATHEMATICS\n## General Statement\n## Mathematics,\"a Science of the Eye\"\n## Rigorous Thinking and the Use of Instruments\n## Newton's Comments on Oughtred\n# INDEX","[{\"question\":\"What were William Oughtred's views on the teaching of mathematics?\",\"answer\":\"Oughtred viewed mathematics as a \\\"science of the eye,\\\" emphasizing the importance of rigorous thinking and the practical use of instruments in learning. His pedagogical ideas influenced subsequent mathematical education.\"}]",1783942099,176,{"code":4,"msg":31,"data":32},"ok",{"site_id":25,"language":24,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":77,"head_meta":79,"extra_data":81,"updated_unix":28},"william-oughtred-a-great-seventeenth-century-teacher-ofmathematics-florian-cajori","",{"@graph":36,"@context":76},[37,52,67],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,47,49],{"item":41,"name":42,"@type":43,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":11},"https://docshare.wps.com/document/","Document",{"item":48,"name":12,"@type":43,"position":20},"https://docshare.wps.com/document/literature/",{"item":50,"name":13,"@type":43,"position":51},"https://docshare.wps.com/document/william-oughtred-a-great-seventeenth-century-teacher-ofmathematics-florian-cajori/59285/",4,{"url":50,"name":13,"@type":53,"author":54,"headline":13,"publisher":56,"fileFormat":59,"inLanguage":24,"description":14,"dateModified":60,"datePublished":61,"encodingFormat":59,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":55},"Person",{"url":41,"name":57,"@type":58},"DocShare","Organization","application/pdf","2026-07-20","2026-07-13",true,{"@type":64,"interactionType":65,"userInteractionCount":20},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70],{"name":71,"@type":72,"acceptedAnswer":73},"What were William Oughtred's views on the teaching of mathematics?","Question",{"text":74,"@type":75},"Oughtred viewed mathematics as a \"science of the eye,\" emphasizing the importance of rigorous thinking and the practical use of instruments in learning. 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