viii CONTENTS. 



PAGE 



Memoir of the late D. F. GREGORY, M.A., Fellow of Trinity College, 



Cambridge 193 



On the Solution of Equations in Finite Differences .... 202 



General Theorems on Multiple Integrals 212 



On the Area of the Cycloid . 224 



Sur lea Integrates aux Differences Finies 726 



Report on the Recent Progress of Analysis (Theory of the Comparison 



of Transcendentals) 238 



Solution of a Dynamical Problem . . . . . . . .324 



On the Tautochronism of the Cycloid 326 



On Napier's Rules 328 



On the Retardation of Sunrise 336 



A Solution of Problem IX. of the First Book of Newton's Principia . 337 



On Roman Aqueducts 339 



On the Form of Bees' Cells 353 



On the Theory of Vegetable Spirals 358 



Some Thoughts on Comparative Metrology 373 



Notes on Boole's Laws of Thought 391 



Remarks on Certain Words in Diez's Etymologisches Wbrterbuch der 



Romanischen Sprachen 395 



Some Thoughts on the Formation of a Chinese Dictionary . . 400 



Value of Roman Money 415 



The Course of Mathematical Studies 417 



ERRATUM, 

 p. i, 4, 5. For Bernoulli!, read Bernoulli. 



