Apollonius' Theorem

Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
ISBN:  

9786131294556


Pages:   112
Publication Date:   25 November 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Apollonius' Theorem


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High Quality Content by WIKIPEDIA articles! The theorem can be proved as a special case of Stewart's theorem, or can be proved using vectors (see parallelogram law). The following is an independent proof using the law of cosines. Let the triangle have sides a, b, c with a median d drawn to side a. Let m be the length of the segments of a formed by the median, so m is half of a. Let the angles formed between a and d be I and I a where I includes b and I a includes c. Then I a is the supplement of I and cos I a = ae'cos I .

Full Product Details

Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   VDM Publishing House
Imprint:   VDM Publishing House
Dimensions:   Width: 22.90cm , Height: 0.60cm , Length: 15.20cm
Weight:   0.176kg
ISBN:  

9786131294556


ISBN 10:   6131294550
Pages:   112
Publication Date:   25 November 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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