CLARENCE C. MARKER., - The Intrinsic Harmony of Number, Parts I-4. Part 1. The Magic Squares of Benjamin Franklin. Part 2. The Magic Squares of the Fifth & Seventh Orders. Part 3. Magic Squares of the Orders Three-Six-Nine & Twelve. Part 4. The Auxiliary Square.

Sacred Science Institute, 2006. 4to - over 9¾ - 12" tall, Hardcover, Hard Cover Maroon Suede Guilt, No Jacket, New. ¶ Exact Facsimile Reprint of Original Edition Published: 1940-41. 157p. "Four Papers Describing The Technique of Leonhard Euler Applied To The Lahireian Method of Forming Magic Squares of All Sizes Under The General Title The Intrinsic Harmony of Number, Also The simple Method of Raising Any 8x8 Square To The 16x16 Size With The Aid Of An Auxiliary Square Preserving All The Qualities Of The Original." This Extremely Rare & Unknown Manuscript contains the most detailed and elaborate work on Magic Squares we have ever seen. Contents: Part I: Magic Squares & Other Problems On A Chessboard; Franklin-Knight-Nasik Magic Rectangles; 2x8 Magic Rectangles; Qualities of Magic Rectangles; Position Equivalents; Diagrammatic Method of Forming MS With Bent Diagonals; Special Number Series; Euler-Lahireian Series; Natural Numbers. Part II; A New Application Of The Method Used By Claude Gaspar Bachet de Mezeriac. 5th Order MS; Duplications; Knightís Move; Set of 3600 Nasik Squares; 144 Nasik Squares; 5x5 MS; Root Square; Bachet Transformation; 7th Order Squares; Combining Groups. Part III; 3x3 MS; 9th Order MS; Diagonal Form; Eight 9x9 Primary Squares; 6th Order MS; Coptic Square; 12x12 MS. Part IV: Auxiliary Square Used With Four Or More Identical Magic Squares To Construct The Larger Sizes From 10x10 to 64x64. Oddly-Even MS; Root Values. Includes hundreds of Magic Squares and Geometrical Diagrams of Their Order.