INDEX TO VOLUMES I-xX. 
Page. 
Mathematics, 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. 
BT Obbs LEA ONY: ctsctvsccsccasesssestsecsveel’ OO 
on Hindoo arithmetic. J. E. Hilgard. 
Title only.......0ess000 Riuceseetaveb sesanedeeusdaubens i 53 
on a series for the determination of the 
number expressing the ratio of the 
circumference to the diameter. E. 
PISO Ey KLE) PUMislassacddesntneoccchacsceceoscsecs i 57 
on the experimental determination of the 
ratio of the circumference to the di- 
ameter, based on the principles of the 
ealculus of probabilities. A. Hall. 
SR MERCTOTIDY rate cetewadaatarencasaceatckaeatunesnassssie i 62 
an 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.....ccccsrcereesereed 84 
on logical algebra. C. S. Peirce. Refer- 
ENCE .. ssaveccesceese wavdacenhess Recawtutaecasedswexsssses 08 
on the mechanical representation of a 
problem in least squares. S. New- 
COM. Reference......ccceeeeeccvee estense ncaa: i 89 
on quaternions, as developed from the gen- 
eral theory of the logic of relatives. 
C. 8. Peirce. Title only........ 004. sso 94 
on affected quantities of the first order. 
BE. B. Elliott. Title only.......0..... coos ii 42 
approximate quadratures. A. Hall. Ab- 
BURGOD. ateuvseccudecdeed cscduncuusevey Rates Uussueneus ii 48 
some recent investigations on the theory 
of invariants. J. J. Sylvester. Title 
ONY seatansccsazctes seven sessenbe Siadiea deeds Wesseaeee di 95 
a trigonometrical formula. B. Alvord. 
MDROLE OTE cstsnevscentbecceanstvsscsancedesssen tecess ii 104 
the history of Malfetti’s problem. M. 
Baker. Infull. 2 figures ...di 113 
series. E. Frisby. Title only.......s...00 ii 193 
the intersection of circles and the inter- 
section of spheres. B. Alvord. Title 
an adjustment of the Carlisle tables of re- 
versions and annuities. E. B. Elliott. 
AUDI OY davevastccsauatarsiatssacdeccevervesrcxsades 41 201 
new points respecting the intersections 
of circles and the intersections of 
spheres. B. Alvord. Title only........ ii 201 
discussion of a geometrical problem, with 
bibliographical notes. M. Baker. Jn 
UPD ar AUG UT EG ta taesne sessscceddecccnccceseeee iii 53, 55 
153 
Page. 
Mathematics, List of papers on—Cont’d. 
on magic squares. E. Frisby. Abstract. 
PUPP Cbteee cee tatscsdessesucwshvsseshcuesacacenas ili 143 
on the geometrical problem to determine 
a circle equally distant from four 
points. M.H. Doolittle. Abstract...w 88 
on some of the properties of Steiner’s 
power-circle. B. Alvord. Title only.w 89 
on composition of error from single causes 
of error. ©.H. Kummell. Reference, 
v 106 
on a geometrical question relating to 
spheres. M. Baker. In full.....s0.-00+. v 107 
on a graphic table for computation. G. K. 
Gilbert. Abstract......ecasccccccsserscsecsesW 120 
experiments in binary arithmetic. H. 
Farquhar. Abstract........ secducavan aE ony) Waid 
formulas for the computation of Easter. 
BBE iotie Puli ceecesesnactesasnaces vi 14 
further experiments in binary arithmetic. 
He Farquhar.) AUStractis..sccccccvessuessc vi 38 
inaugural address of the chairman of the 
Mathematical Section. A. Hall. In 
full.cccrsse Rnacaoapecnecaens eresecsade aearaceunussmWat LLG 
& quasi general differentiation. A. S. 
Christie. “Tile Onlafescccccccscsencecsocacese vi 122 
infinite and infinitesimal quantities. M. 
H. Doolittle. Abstract .........s000 voeeee WA 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.......+ eV 136 
the theory of errors practically tested by 
target-shooting. C.H. Kummell. Ab- 
Stract. 2 figures.......esesceee Secnsesues onseeee WA 138 
a special case in maxima and minima. B. 
Alvord.  “Ab8tract......<.-0ccse-ccccecaee soos WA 149 
form of least-square computation. H. Far- 
quhar. In full......c00...s000 onsekt eassudian vi 150 
note on the problem discussed by Mr. Al- 
vord. H. Farquhar. <Abstract.........wi 152 
the rejection of doubtful observations, M. 
H. Doolittle. Abstract.........cccccosees «Wi 152 
the special treatment of certain forms of 
observation-equations. R. S. Wood- 
WDC. | AUST QElialacesaetenveseusesssncatureaes vi 156 
contact of plane curves. A. S. Christie. 
VAIO BET ECP siecacavecqasatcedaesbevenncsbsscenceaunnds vi 157 
curves similar to their evolutes. C. H. 
Kummell. Abstract......ss00...sc0s000eWhl 87 
the problem of the knight’s tour. 
Gilberts) MAOsOrGet  creccsscactseccsss arenes vii 88 
empirical formule for the diminution of 
amplitude of a freely-oscillating pen- 
dulum. H. Farquhar. Abstract.....vii 89 
