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

LOOMIS, Elisha S.

Published by Ginn and Co., Boston, 1901

About this Item

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.

Seller Inventory # 8000807

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
• Publisher: Ginn and Co., Boston
• Publication Date: 1901
• Binding: Hard Cover
• Edition: First Edition.
• Condition: Very Good -
• Dust Jacket Condition: No Dust Jacket
• Seller catalogs:
  • Firsts
  • Mathematics