Original Investigation: or, How to attack an exercise in geometry ; with many model solutions and a complete discussion of the principles underlying the same

Published by Ginn and Co., Boston, 1901

  • First Edition
  • Hardcover
  • Used
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Seller: Michael J. Toth, Bookseller, ABAA, Springtown, PA, U.S.A.Michael J. Toth, Bookseller, ABAA

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Hardcover

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Bound in red flexible cloth, stamped in black. 61 pp. Contents: A. Original demonstrations. 1. Synthesis--direct proof--deductive--its convenience -- 2. Analysis--inductive--reductio ad absurdum--must learn to reason -- 3. Four working principles -- 4. Application and illustration -- 5. Four concluding observations -- B. Original solutions. 1. Geometric problems -- 2. Kinds of geometric problems -- 3. Steps in the systematic solution of a problem--eight -- 4. Seven fundamental and working principles stated -- 5. Application, illustration, and model solutions -- C. Methods of investigation. 1. The method of analysis -- 2. The method of successive substitutions--illustrations -- 3. The method of reductio ad absurdum--model solution -- 4. The method of intersection of loci--discussion -- 5. The method of construction of loci by points-model solution -- 6. The method of parallel translation--model solution -- 7. The method of similar figures--discussion -- 8. The method of infinites--discussion -- 9. The method of limits--discussion -- 10. The algebraic method--discussion--illustrations -- D. Outline of the analytico-synthetic method of attacking an original problem. A light bit of edgewear, but a tight, clean copy. Size: 12mo - over 6¾" - 7¾" tall.

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Bibliographic details

Title
Original Investigation: or, How to attack an exercise in geometry ; with many model solutions and a complete discussion of the principles underlying the same
Author
LOOMIS, Elisha S.
Publisher
Ginn and Co., Boston
Publication year
1901
Condition
Very Good -
Dust jacket
No Dust Jacket
Binding
Hard Cover
Edition
First Edition.
Seller catalogs
Firsts, Mathematics

Michael J. Toth, Bookseller, ABAA

Springtown, PA, U.S.A.

5-star seller

AbeBooks seller since July 8, 1997

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PA, U.S.A.