Entered according to Act of Congress, in the year 1860, by

J. D. RUNKLE,

in the Clerk's Office of the District Court of the District or Massachusetts.

University Press, Cambridge:

Electrotyped and Printed by Welch, Bigelow, & Co.

Note on the Trigonometric Solution of

Equations of the Second Decree.

79 On the Motions of Fluids and Solids rela-

tive to the Earth's Surface. By Prof.

WM. FERREL

Note on Equation of Payments. By PLINY

EARLE CHASE.

Decomposition of an Irreducible Rational
Fraction into Simple Fractions.

Review of the Prize Solution of the last

Problem in Emerson's North American

Arithmetic. By Hon. FINLEY BIGGER. 82 Editorial Items.

85

888

80

89

The Elements of Quaternions. By W.

81

P. G. BARTLETT.

A Second Book in Geometry. By Rev.

THOMAS HILL..

102

104

.

No. IV.

Prize Problems for Students. .

JANUARY, 1860.

105

the Fifteen Problems in the Tangencies

of Spheres. By Prof. GEOrge W.

COAKLAY.

Instances of nearly Commensurable Pe-
riods in the Solar System. By Prof.
DANIEL KIRKWOOD..

Note on Decimals. By SAM'L. P. BATES. 112 The Elements of Quaternions.

Reduction of Fractions to a Common De-

Notes on Probabilities. By SIMON NEW-

COMB.

A Second Book in Geometry. By Rev.
THOMAS HILL..

Editorial Items

134

140

144