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September 22nd, 2014, 08:59 PM  #1 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,001 Thanks: 132 Math Focus: Trigonometry  How Should I Split the SubChapters?
I got a job to edit a book whose title literally translated as "The Uniqueness of Circles and Their Tangents" which somehow didn't manage to escape publication requirements regarding the contents. I was asked to review why it didn't manage to get publiced. Then I realized that the book was more about circles rather than their tangents. I figured that maybe it's the reason the book didn't get through. The initial chapter arrangements were as follows: 1. Circle and Its Parts A. Parts of a Circle B. Properties of a Circle 2. Perimeter and Area of a Circle A. The Value of $\displaystyle \pi$ (Phi) in a Circle (Yes, I know it was intended to be Pi, but it looks like they didn't know the difference) B. Perimeter of a Circle C. Area of a Circle D. Change in Perimeter and Area of a Circle 3. Angles in a Circle A. Central Angle B. Inscribed Angle 4. Tangent of Circles A. Definition of Tangent B. The Lenght of a Tangent C. The Position of Two Circles 5. Tangent Lines to Two Circles A. Inner Tangent B. Outer Tangent C. Pulley Problem 6. Incircle and Circumcircle of a Triangle A. Incircle of a Triangle B. Circumcircle of a Triangle As you can see, only about half the book talks about tangent. I plan to revision the chapters into something like this: 1. The Uniqueness of Circles A. Parts of a Circle B. Properties of a Circle C. Perimeter and Area of a Circle 2. Tangent of Circles A. Pythagorean Theorem B. Definition of Tangent C. The Lenght of a Tangent D. The Position of Two Circles 3. Inner Tangent of Two Circles A. B. 4. Outer Tangent of Two Circles A. B. 5. Pulley A. Determining The Length of an Arc B. Pulley Problem C. Belt Surrounding Circles Arranged Like a Triangle D. Belt Surrounding Circles Arranged Like a Rectangle 6. Incircle and Circumcircle of a Triangle A. Incircle of a Triangle B. Circumcircle of a Triangle How should I split the third and fourth chapters into? I have no idea about how the subchapters of inner and outer tangents should look like. And I can't merge them into a chapter either, because the title explicitly tells that it focuses on tangent. FYI, this book needs to consist of 6 chapters and I also can't put anything related to circle equation in Cartesian diagram because this book is intended to be a book for Middle School/Junior High School. 
April 15th, 2015, 10:55 PM  #2 
Newbie Joined: Apr 2015 From: USA Posts: 12 Thanks: 0  How Should I Split the SubChapters?
If you tell you sincerely that I do not know anything about how should you Split the Sub  Chapters. But I will find its Solution and then after tell you as early as possible.
Last edited by skipjack; April 16th, 2015 at 04:17 AM. 
April 16th, 2015, 02:32 AM  #3 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,001 Thanks: 132 Math Focus: Trigonometry 
Well, sorry to disappoint, it's already done.

April 16th, 2015, 04:17 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 21,105 Thanks: 2324 
I hope "lenght" was corrected to be "length" prior to publication.

April 17th, 2015, 12:28 AM  #5 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 2,001 Thanks: 132 Math Focus: Trigonometry 
Relax, the book will be written in Indonesian, not English. 

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