INDEX. 



Jones, W., 117. 



Kant, 39, 98 et seq. 



Kepler, 34. 



Kircher, Athanasius, 45. 



Klein, Felix, 31, 143. 



Knight, move of a, 52. 



Knight-problem, 58. 



Knots, experiment with the, 103, 105. 



Kochansky, 61, 137. 



Kronecker, 7, 9. 



Lagny, 139. 



Lambert, 32, 141. 



Law of association, 15. 



Legendre, 80, 141. 



Leibnitz, 28. 138. 



Leistner, 136. 



Lessing, 30. 



Liger, 136. 



Limits, 125. 



Lindemann, 31, 116, 142. 



Livy, 2. 



Lobachevski, 37, 79. 



Local value, Hindu system of, 3. 



Logarithm, finding of the, 20. 



Logarithmand, 21. 



Longomontanus, 133. 



Ludolf, 137. 



Lunes of Hippocrates, 126. 



Luther, 101. 



Machin, 139. 



Magic cubes, 61 et seq. 



Magic Squares, 39-63 ; problem and 

 origin of, 42 ; concentric, 55 et seq ; 

 even-numbered, 49 et seq.; odd-num- 

 bered, 44 et seq, ; with magical parts, 



56 et seq. ; whose summation gives 

 the number of a year, 53 et seq. ; that 

 involve the move of the chess-knight, 



57 et seq. 



Mathematical knowledge, on the nature 

 of, 27-38 ; characteristics of, 35 ; in- 

 trinsic character of, 27. 



Mathematics, 39 ; most conservative of 

 all sciences, 27; self -sufficiency of, 32. 



Mathulon, 136. 



Measuring, 17. 



Mechanical instruments of geometry, 



120 et seq. 

 Mechanics, 38. 

 Mediums, 107. 

 Melancholy, 40, 41. 

 Merkel, 136. 



Methods, discovery of, 35. 

 Metius, Peter, 132, 133. 

 Mexico, ancient, 3. 

 Mill, J. S., 39. 

 Milton, 41. 

 Minerva, 3. 

 Minus sign, n. 

 IVinutes, 128. 



Models of three-dimensional nets, 78. 

 Monism in arithmetic, 8-26. 

 Afonist, The, 39. 

 Moschopulus, 45. 

 Multi-dimensional magnitudes and 



spaces, 67 et seq., 77. 

 Multiplication, 15, 77. 

 Mysticism, 39. 



Named number, 6. 



N-dimensional totalities, 69 et seq. 



Negative exponents, 20, 21. 



Negative numbers, 12 et seq., 16, 18. 74. 



Newton, 28, 34, 138. 



Nonius, Petrus, 132. 



Notation, systems of, 6. 



Number, notation and definition of, 1-7; 



denominate, 4 ; abstract, 7 ; as the 



result of counting, 9; complex, 24,35; 



forms of, 14. 

 Numbers, as symbols, 7; imaginary, 23, 



35 ; irrational, 23 ; real, 23. 

 Numbering, 6. 

 Number-pictures and signs, natural, 2 



et seq. 



Number-words, natural, 4. 

 Numerals, the formation of, 5 et seq. 

 Numeral words, 4 et seq. ; compound, 4; 



in the Indo-Germanic tongues, 5. 

 Numeral writing, 2 et seq. 

 Numeration, i et seq. 

 Numeri ficti, 13. 

 Numeri veri, 13. 



Pappus, 124. 



Parallels, theory of, 28, 79 et seq. 



