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

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.…