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JUN 3 1884
PRINTED BY C. J. CLAY, M.A.
PREFACE TO THE THIRD EDITION.
THE Dean of Ely having requested me to revise the Third Edition of the Examples to his Course of Mathematics, I have at his suggestion, added a collection of Examples in Conic Sections, and in the first three sections of Newton's Principia, and have also added numerous Examples selected from University and College Examination Papers in the other subjects.
I have to thank the Rev. H. Latham, Tutor of Trinity Hall, for allowing me to select several Examples in the Conic Sections from his collection, and also the Rev. N. M. Ferrers, Mathematical Lecturer of Gonville and Caius College, for several original Problems.
GONVILLE AND CAIUS COLLEGE,
T. G. V.
Page 12, Ex. II, in the answer, for -3x+4, read + 3x − 4.
68, Ex. 35, for or, read so.
72, Ex. 24, for T, V, read V.
omit there are three directions, in any one of which; and, after the word struck, read in any direction, so that it strike the sides successively.
USE OF SYMBOLS.
102, Ex. 9, for the length of the diameter: the length of the semicircle,
read 2: T-2.
Ex. 12, for at A, read at P.
103, Ex. 24, for distance, read distances.
106, Ex. 15, for is proportional, read is inversely proportional.
a2 — ab+b2 = c,
(a + b) (a + c) (b + c) = 10abc.
8. If a=2, b=3, c=5, and d=6, find the value of the following expressions:
(2a+3b) (4c — d), (a+b+c−d) (a− 2c+4d),
(2b − 3d) (a + b − 3c + d), a2 − b2 + c2 — d2,
(a3 +b3) (a2b+b2c+c3d), and (a + b + c + d) 3 — a3 − b3 — c3 — d3.
9. Find the value of x3-3x2+3x-1, when x=3.