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DR. MORELL'S ADVANCED SERIES.

GEOMETRY.

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LONDON
LONGMANS, GREEN, READER & DYER

PATERNOSTER ROW

1874

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Butler & Tanner, The Selwood Printing Works,

Frome, and London.

PREFACE.

It has been the aim of the author of this book to work out

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such a system as could be made throughout an illustration of the elementary laws of Logic; simple enough to initiate the young to this important science, and in studying which his mind could make its first practice in wrestling with argument. As yet, no part of mathematics can so easily bear a purely logical treatment as Geometry : its objective part may be readily exhibited in an almost tangible form. For this reason the author has selected Geometry as his subject, as being the one most fitted for the embodiment of the rules of Reasoning; and in doing so, he has followed the example of the ancients.

In order to succeed in the treatment of any science, it is first of all necessary to clear it, not of that which is unconnected with it, for all sciences are more or less connected together, but of all that is foreign to it, and not strictly comprised within it as a vital part. Accord

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