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PREFACE. il i The demonstration of each of the Propositions has been ko printed as clearly to shew to the student the successive steps of the reasoning. This method was first of all recommended by Professor De Morgan, and it has since been adopted by Messrs Pott, Todhunter and others. At the end of cach Book will be found copious explanatory notes, anda large number 01 exercises most of which are selections. Besides, for the purpose of illustration, after each Proposition, at least one Exercise has been given which can be deduced from the Pro- position or demonstrated in the same manner as the Proposition itself. These will answer the purpose of riders 170 the Examination Papers; and the fact of their being placed after each of the Propositions will, it is hoped, be a sufficient hint for their solution. Before closmg this preface, the author begs to acknowledge with thanks the material assistance received in the preparation of this work from Pandit Kah Prasanna Vidyaratna, the teacher of Sanskrit and Bengali in the Hugli Normal School. It only remains to be mentioned that any sugges- tions or corrections from teachers or students, will be received with cordial thanks. BRAHMA MOHAN MALLIK, «Herr Norma Scnoon, March,.1871.