INDEX TO VOLUMES I-X. 
153 
Page. 
MatliematicS) List of papers on—Cont’d. 
on an exponential formula having refer¬ 
ence to the tolerance allowed at the 
U. S. Mint. J. E. Hilgard. Title only^ 
i 31 
on the locus of the point of equal illumi¬ 
nation by two unequal lights treated 
by the quaternion' analysis, E. B. 
Elliott. Title only ...i 35 
on Hindoo arithmetic. J. E. Hilgard. 
Title only .1 53 
on a series for the determination of the 
number expressing the ratio of the 
circumference to the diameter. E. 
Frisby. In full ..1 57 
on the experimental determination of the 
ratio of the circumference to the di¬ 
ameter, based on the principles of the 
calculus of probabilities. A. Hall. 
Title only .1 62 
*u historical note on the method of least 
squares. A. Hall. Reference .i 62 
an inquiry into the law of probability. J. 
E. Hilgard. Title only .i 84 
on logical algebra. C. S. Peirce. Refer¬ 
ence . i 88 
on the mechanical representation of a 
problem in least squares. S. New¬ 
comb. Reference .i 89 
on quaternions, as developed from the gen¬ 
eral theory of the logic of relatives. 
C. S. Peirce. Title only .i 94 
on affected quantities of the first order. 
E. B. Elliott. Title only .11 42 
approximate quadratures. A. Hall. Ab¬ 
stract .11 48 
some recent investigations on the theory 
of invariants. J. J. Sylvester. Title 
only . 11 95 
a trigonometrical formula. B. Alvord. 
Title only .11 104 
the history of Malfatti’s problem. M. 
Baker. In full. 2 figures .11 113 
series, E. Frisby. Title-only .11193 
the intersection of circles and the inter¬ 
section of spheres, B. Alvord. Title 
only .11 198 
an adjustment of the Carlisle tables of re¬ 
versions and annuities. E. B. Elliott. 
Title only .11 201 
new points respecting the intersections 
of circles and the intersections of 
spheres. B. Alvord. Title only .11 201 
•discussion of a geometrical problem, with 
bibliographical notes. M. Baker. In 
full. 4 figures .Ill 53, 55 
Page. 
Mathematics, List of papers on—Cont’d. 
on magic squares. E. Frisby. Abstract. 
6 figures .Ill 143 
on the geometrical problem to determine 
a circle equally distant from four 
points. M. H. Doolittle. Abstract....'v 88 
on some of the properties of Steiner’s 
power-circle. B. Alvord. Title only..-v 89 
on composition of error from single causes 
of error. C. H. Kummell. Reference, 
V 106 
on a geometrical question relating to 
spheres. M. Baker. In full .v 107 
on a graphic table for computation. G. K. 
Gilbert. Abstract .v 120 
experiments in binary arithmetic. H. 
Farquhar. Abstract .v 125, vl 3 
formulas for the computation of Easter. 
E. B. Elliott. In full .vi 14 
further experiments in binary arithmetic. 
H. Farquhar. Abstract .vl 38 
inaugural address of the chairman of the 
Mathematical Section. A. Hall. In 
full .vi 117 
a quasi general differentiation. A. S. 
Christie. Title only .vi 122 
infinite and infinitesimal quantities. M. 
H. Doolittle. Abstract .vi 133 
certain possible abbreviations in the com¬ 
putation of the long-period perturba¬ 
tions of the moon’s motion due to the 
direct action of the planets. G. W. 
Hill. Abstract and reference .vi 136 
the theory of errors practically tested by 
target-shooting. C. H. Kummell. Ab¬ 
stract. 2 figures .vi 138 
a special case in maxima and minima. B. 
Alvord. Abstract .vi 149 
form of least-square computation. H. Far¬ 
quhar. In full .vi 150 
note on the problem discussed by Mr. Al¬ 
vord. H. Farquhar. Abstract .vi 152 
the rejection of doubtful observations. M. 
H. Doolittle. Abstract .vi 152 
the special treatment of certain forms of 
observation-equations. R. S. Wood¬ 
ward. Abstract .vi 156 
contact of plane curves. A. S. Christie. 
Abstract .vi 157 
curves similar to their evolutes. C. H. 
Kummell. Abstract .vii 87 
the problem of the knight’s tour. G. K. 
Gilbert. Abstract .vii 88 
empirical formulae for the diminution of 
amplitude of a freely-oscillating pen¬ 
dulum. H. Farquhar. Abstract .vii 89 
