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18. Prove that, if n be either semi-axis of the curve represented by the equation

ua® + vße + wy2 + 2u' By + 20' ya + 2w'aß= 0,

the values of r will be the roots of the equation

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CAMBRIDGE: PRINTED BY C. J. CLAY, M.A. AT THE UNIVERSITY PRESS,

Cambridge Elementary Mathematical Series

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ARITHMETIC and ALGEBRA in their PRINCIPLES and

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The series of CAMBRIDGE CLASS-BOOKS FOR THE USE OF COLLEGES AND

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1. Arithmetic and Algebra in their Prin

ciples and Applications.
WITH NUMEROUS EXAMPLES, SYSTEMATICALLY

ARRANGED.
By BARNARD SMITH, M.A.

Fellow of St. Peter's College, Cambridge.
Eighth Edition. 696 pp. (1861). Crown 8vo. strongly bound

in cloth.

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The first edition of this work was published in 1854. It was primarily

intended for the use of students in the Universities, and for Schools which prepare for the Universities. It has however been found to meet the requirements of a much larger class, and is now in use in a large number of Schools and Colleges both at home and in the Colonies. It has been found of great service for students preparing for the MIDDLE-Class and CIVIL AND MILITARY SERVICE EXAMINATIONS, from the care that has been taken to elucidate the principles of all the Rules. Testimony of its excellence has been borne by some of the highest practical and theoretical authorities; of which the following from the late DEAN PEACOCK may be taken as a specimen.

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16. 1. 62.

2. Arithmetic for the Use of Schools.

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cloth. 48. 6d. Answers to all the Questions. KEY to the above, containing Solutions to all the Questions in the latest Edition.

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