146 



INDEX. 



Corsonich, Lieutenant Colonel, 136. 

 Counting, i et seq , 9, 72 et seq. 

 Cranz, 65, 101. 

 Culvasutras, 129. 

 Cumberland, in. 



Curvature, negative, 81 et seq.; posi- 

 tive, 8 1 et seq. ; zero, 82 ; of space, 85. 

 Cyclometry, 127 et seq. 



Dase, Zacharias, 139. 



Davis, the American visionary, 102. 



De Cusa, Nicolas, 131. 



Definitional formulae, n, 21. 



Degrees, 128. 



Degree, numbers of, 19. 



De la Hire, 45, 46, 51, 53. 



De Meziriac, Bachet, 45, 46. 



De Morgan, 41, 113, 140, 141. 



Depth, 94. 



Descartes, 67. 



De Series, Oliver, 136. 



Detraction, u. 



Difference, u. 



Differential forms, 13 et seq., 74. 



Dimension, concept of, 65 et seq. 



Dinostratus, 124. 



Displacement, congruence by, 81. 



Distance of objects, 96. 



Dumas, Alexander, 102. 



Duplication of the cube, 30. 



Du Prel, Carl, 105. 



Diirer, Albert, 40, 43, 45. 



Egyptians, the squaring of the circle 



among, 122 et seq. 

 Eisenlohr, 29, 122. 

 Equations between x, y, and z, 70. 

 Ether, 75 et seq. 

 Etruscans, 3. 

 Euclid, 28, 37, 78, 126. 

 Euclid's axioms, 79-82. 

 Euler, 117, 137. 

 Evolution, 20, 21. 

 Extension of notions in mathematics, 75 



et seq. 



^Finaeus, Orontius, 132. 

 Fingers, i et seq. ; in reckoning, 4 et 



seq. 

 Five as a numeral basis, 5. 



Foundation-principle, 14. 

 Four-dimensional point-aggregates, 72 



et seq. 

 Four dimensioned space, refutation of 



the existence of, 89 et seq. 

 Fourth degree, operation of, 76. 

 Fourth dimension, the, 64-111. 

 Four variable quantities, 77. 

 Fractional numbers, negative, 18. 

 Fractions, 17 et seq. 

 Functions, theory of, 35. 



129. 



Gauss, 37, 79, 99. 

 Geometry, 37; origin of, 33. 

 Glaukon, 98. 

 Grassmann, 9. 

 Greeks, 3, 13; squaring of the circle 



among, 115, 122 et seq. 

 Gregory of St. Vincent, 133. 

 Gregory, James, 135, 138. 

 Gudian manuscript, 128. 



Halley, 139. 



Hamlet, 41. 



Hankel, 9, 14. 



Harmony of the spheres, 63. 



Have, Mr., 101. 



Helmholtz. 37, 79. 



Hermite, Professor, 142. 



Herodotus, 33. 



Hesse, 136. 



Hindus, 13; mathematical performances 



of the, 128 et seq.; squaring of the 



circle among, 128 et seq. 

 Hippias, 123, 124. 

 Hippocrates, 125. 

 History, 33. 

 Hobbes, 136. 

 Homer, 84. 

 Hugel, 61. 

 Hume, 39. 

 Huygens, 135, 136. 



Imaginary numbers, 23, 35. 

 Impossibility of demonstration, 116. 

 Increment, 10. 

 Infinitely great, 19, 85. 

 Insoluble problems, 30, 143. 

 Involution, 19, 21, 76. 

 Irrational numbers, 23. 



