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To start out with an authoritative source in typing for years has been South-Western Publishing Company. If I may quote from page 12 of their textbook "Space twice after a period at the end of a sentence." If you don't want to take my word on this quote you could either look in a museum or a cold dark basement of a school that can not bring itself to do away with books that have a 1938 copyright. Just so you are absolutely sure you have the same textbook I am quoting you will need to look for South-Western Publishing Company's 20th Century Typewriting, Third Edition. The names of the authors are D. D. Lessenberry and E. A. Jevon. The copyright on this textbook is (you guessed it) 1938. I read all of the small legal print and was unable to find an ISBN number or a Library of Congress Catalog Number. (If there is anyone 'out there' knowledgeable about the Library of Congress and when all publications were required to include the Library of Congress Catalog Number I would appreciate you contacting me at mdurkee@meridian.wednet.edu).
The McGraw-Hill Book Company has been an authoritative voice in typing textbooks for years states, "Space once after a period following an abbreviation, twice after a period that ends a sentence." The bold type is part of the original quote that appears on page 17 of their General Typing textbook. If you would like to find a copy of this text book you may be able to find it in the same cold, dark, and dank basement that you found the previous book I referred to. To make your searching easier the name of the textbook is Gregg Typing 191 Series Second Edition the authors are John L. Rowe, Alan C. Lloyd, and Fred E. Winger. The publisher is McGraw-Hill, Inc. the copyright date is 1967. The ISBN number is 07-054105-1. The Library of Congress Catalog Number is 66-26582. Just a few words in trying to find this book, Good Luck!
Now for a textbook that is a little more current. South-Western Publishing Company's textbook Century 21 Keyboarding, Formatting, and Document Processing Fourth Edition, Copyright 1987. Authors of this textbook are T. James Crawford, Lawrence W. Erickson, Lee R. Beaumont, Jerry W. Robinson, and Arnola C. Ownby. If you a Business Education teacher this book is affectionately known as 'The Red Book'. A quote from page 15, "Space once after ; and after . used with abbreviations and initials. Space twice after . at the end of a sentence except at line endings. There, return without spacing." Hmmm... seems to me that it doesn't matter if the copyright is 1987 or 1938 the information rings very similar. If you would like to find this book you will be able to find one in nearly every high school in America. Furthermore, you may not even have to go to that cold, dark, and dank school basement because there are several high schools I know of that still use 'The Red Book'. But, if you come up empty handed the ISBN number is 0-538-20550-4 or 0-538-20560-1. Yes, there are two ISBN numbers on the book one on the back cover and the other is on the title page.
Well, let's take a look at another South-Western Educational Publishing (a division of International Thomson Publishing Inc.) book this one has a copyright of 1997. The ISBN number is 0-538-64892-9 and the title of the textbook is Century 21 Keyboarding & Information Processing Complete Course. On page 27 of this book it says, "Space once after. following abbreviations and initials. Do not space after . within abbreviations. Space twice after . at end of a sentence except at line endings. There, return without spacing." The authors of this book undoubtedly used a computer to generate the text and the graphical people who laid out the book most surely used a computer to do the layout. This brings a question to mind, "Why would a textbook be marketed for use with two entirely different tools, computers and typewriters?" Hmmmmm.
If you would like any further sources for using two spaces you can go here and these will be excerpts taken off of actual web sites. The authors will be given credit just so there is no confusion at all I am just reporting the information I take absolutely no credit whatsoever for the information contained in the quotes or the web site in which I found the information.