## Index of the American Mathematical Monthly: Volumes 1 Through 80 (1894-1973), Volume 1 |

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### Contents

ROE E D Jr Two developments | 32 |

VOLUME 2 | 33 |

ROBBINS R B Reply | 34 |

E A new solution of the cubic equation | 35 |

HENDERSON Archibald The derivation | 36 |

COLAW J M Queries and information | 37 |

LUXEMBURG W A J What is nonstandard analysis? | 38 |

JACKSON Dunham Note on the convergence of Fourier series | 39 |

ROGERS Hartley Jr An example in mathematical logic 929 | 152 |

CARMICHAEL R D On the general tangent to plane curves | 153 |

HALSTED George Bruce The geometric old and new | 154 |

RANUM Arthur On the classification of systems of linear equations | 155 |

ZERR G B M Certain loci related to a conic | 156 |

MASON Thomas E The general solution of a class | 157 |

THEBAULT Victor On the twelve point sphere of the tetrahedron 357 | 158 |

FINKEL B F Biography Mr W J C Miller | 159 |

GRAY William J A note on functions with a natural boundary | 40 |

NICHOLSON J W | 41 |

GOULD H i r SQUIRE William | 44 |

WHITMAN E A The use of models while teaching triple integration | 45 |

KOH Kwangil A note on a certain class of prime rings | 46 |

ELLWO00 J K Remarks on division | 47 |

KBMPNER A J A curious convergent series | 48 |

KENNEY | 50 |

RIETZ H L The teaching of college algebra | 51 |

VOLUME | 52 |

ROE E D Jr On symmetric functions | 53 |

CRATHORNE A R The Prytz planimeter | 55 |

DRUMMOND Josiah H Note to Professor Dicksons article on triangles | 56 |

KASNER Edward The group | 57 |

DICKSON Leonard E Dr Halsteds latest translation | 58 |

HALSTED George Bruce The collected mathematical papers of Arthur Cayley | 59 |

MOORE Charles N Reply | 60 |

C00LiDGE Julian L Robert Adrain and the beginnings of American mathematics | 61 |

SMITH David Eugene An interesting fourteenth century table | 62 |

EPSTEEN Saul Analog of Sylvesters dialytic method of elimination | 63 |

SMITH David Eugene On the origin of certain typical problems | 64 |

COLAW J M Biography Dr Joel E Hendricks A M | 65 |

E Factors of a certain determinant of order six | 66 |

HALSTED George Bruce NonEuclidean geometry historical and expository | 67 |

PUTNAM Hilary Recursive functions and hierarchies | 68 |

DEN George R Note on the polar of a point as to a conic | 69 |

VOLUME 11 | 70 |

E The Galois group of a reciprocal quartic equation | 71 |

CAJORI Florian Historical note | 72 |

PHILBRICK P H An unreasonable rule in surveying | 73 |

CAJORI Florian History of the exponential and logarithmic concepts | 75 |

STAGER Henry W Annual meeting | 76 |

FORD W B The teaching of the calculus | 77 |

CARMICHAEL R D | 78 |

GREGORY R T A method for deriving numerical differentiation formulas | 79 |

KENNEDY E S 5 TRANSUE W R A medieval iterative algorism | 80 |

GLENN o E A method of transvection | 81 |

COMENETZ George Kasners invariant and trihornometry | 82 |

MANNING H P Definitions and postulates for relativity | 83 |

HALSTED George Bruce Pi in Asia | 84 |

MUTED Willis On making mathematical results more available for engineers | 85 |

MOULTON | 86 |

MILLER G A Appreciative remarks on the theory of groups | 87 |

CUMINS Roy Reply | 88 |

LEHMER Derrick N Note on prime numbers | 89 |

MCDONALD Emma Whiton Determination | 90 |

W Note on right triangles | 91 |

BELL A H Solution to the celebrated indeterminate equation | 92 |

E Series with deleted terms | 93 |

CURTISS J H Convergent sequences of probability distributions | 94 |

HALSTED G B Russian science notes | 95 |

HALSTED George Bruce | 96 |

HALSTED George Bruce Biography Sophus Lie | 97 |

HALSTED George Bruce 5 MOORE R L The betweenness assumptions | 98 |

WHITAKER H C An elementary derivation of the series for sinx and cosx | 99 |

ZERR G B M The centroid of areas and volumes | 100 |

WILSON Edwin Bidwell Spherical geometry | 101 |

LYLE John N Note to article on page fortytwo | 102 |

C A method for developing cos0 and sinO to the nth power | 103 |

SANDHAM H F Two series of partitions | 104 |

BROWN J S Divisions of an angle | 105 |

STABLER E R Boolean algebra as an introduction to postulational methods | 106 |

SMITH David Eugene Historicalmathematical Paris | 107 |

HALSTED George Bruce NonEuclidean geometry historical and expository | 108 |

FINKEL B F Biography Artemas Martin M A Ph D LL D | 109 |

COLLINS Joseph V Note on the calculation of interest and discount | 110 |

CAJ0RI Florian Note | 111 |

F An inductive proof of Budans theorem | 112 |

A A trisector of angles | 113 |

HAZEN John Vose Frank Asbury Sherman | 114 |

CARMICHAEL R D On dividing an angle into parts | 115 |

DOLMAN John Remarks on Professor Lyles postulate 1 of Euclids Elements | 116 |

MILLER G A Generalization of positive and negative numbers | 117 |

R On the derivatives of trigonometric functions | 118 |

TAYLOR W E On the product of an alternant by a symmetric function | 119 |

ECHOLS W H Some properties of a skewsquare | 120 |

SNYDER Virgil Models of the Weierstrass sigma function | 121 |

HALSTED George Bruce Playfairs pseudoproof of the anglesum | 122 |

HALSTED George Bruce NonEuclidean geometry | 123 |

REED F W On parametric and pseudographic transformations | 124 |

HILDEBRANDT T H Relating to finding derivatives of trigonometric functions | 125 |

GEORGES J S Integrated versus traditional mathematics | 126 |

MILLER G A Mathematics beyond the calculus | 127 |

BUCK R C Mathematical induction and recursive definitions | 128 |

KUMMELL Charles H Discussion of merit contests | 129 |

NEWCOMB Simon An account of Professor Runkles Mathematical Monthly | 130 |

HALSTED George Bruce NonEuclidean geometry historical and expository | 132 |

N Remarks | 133 |

EMCH Arnold On the projectivity of stresses in a plane | 134 |

N | 135 |

EMCH Arnold Note on the loxodromic lines of the torus | 136 |

HALSTED George Bruce Biography Lobachevsky | 137 |

EMCH Arnold On some geometric properties of circular transformations | 139 |

MAN0CHA H L A generating function 627 | 140 |

ALEY Robert J Biography Daniel Kirkwood | 141 |

WONG B C On a pointtoplane transformation | 142 |

DRESDEN Arnold An example of the indicatrix in the calculus of variations | 143 |

HALSTED George Bruce NonEuclidean geometry historical and expository | 144 |

YOUNG J W A On mathematical induction | 145 |

Note on the Author Index | 146 |

FINKEL B F Note on the solar eclipse of May 28th | 147 |

CAJORI Florian History of the exponential and logarithmic concepts | 148 |

HALSTED George Bruce NonEuclidean geometry historical and expository | 149 |

YOUNGS J | 150 |

WILSON Edwin Bidwell Spherical geometry | 151 |

STEVENS James S Forecasting the census returns | 160 |

ROE E D Jr On symmetric functions | 161 |

MILLER G A The founder of group theory | 162 |

GLENN O E Notes on the geometrical representation | 163 |

HAWKESiORTH Alan S Four new theorems relating to conjugate hyperbolas | 164 |

REES E L Theorem concerning the concurrency of three lines | 165 |

CRATHORNE A R The word radian | 166 |

SALKOVER Meyer Remarks on the mathematics of finance | 167 |

YANNEY Benj F 5 CALDERHLAD James A | 168 |

BELL A H Solution to the celebrated indeterminate equation | 169 |

PONZER Ernest W Reply | 170 |

R Finite planes with less than eight points on a line | 171 |

CHERNICK Jack Solution of the general magic square | 172 |

WOODS B M The construction of conics under given conditions | 173 |

COOLIDGE Julian Lowell Some unsolved problems in solid geometry | 174 |

HALSTED George Bruce Answer to queries | 175 |

ZERR G B M To find the equation to the straight line which is | 176 |

HILDEBRANDT T H On the determination of conics | 177 |

MILLER G A Remarks on substitution groups | 179 |

BARTON S G A simple method of constructing the normals to a parabola | 180 |

COLLINS Jos V An elementary exposition of Grassmanns | 181 |

Note on the Subject Index | 182 |

FINKEL B F Biography Col James W Nicholson | 183 |

LOOMIS E S Outline of investigation for asymptotes | 185 |

BLANKINSHIP W A The curtain rod problem | 186 |

WILSON E B Linear momentum kinetic energy and angular momentum | 187 |

HALSTED George Bruce The international congress of mathematicians | 188 |

HALSTED George Bruce Biography Dr Percival Frost | 189 |

MOLINA E C Computation formula | 190 |

SLAUGHT H E Eliakim Hastings Moore | 191 |

DENIS Adelaide A discussion of the cases when two quadratic equations | 192 |

MASCHKE 1 A useful diagram for examples in modern analytic geometry | 193 |

G The theorem of moments | 194 |

HALSTED George Bruce Biographical sketch of Paul Barbarin | 195 |

L Evaluation of the determinant with elements lr+sl | 196 |

MILLER G A Applications of substitution groups | 197 |

ALBERT A A A rule for computing the inverse of a matrix | 198 |

GREENWOOD G W An extension to central conicoids | 199 |

MILLER G A On the solutions of a system of linear equations | 201 |

MILLER G A Remarks | 202 |

ZERR G B M The binomial theorem | 203 |

L00MIS E S Outline of investigation for asymptotes | 204 |

CAJORI Florian History of the exponential and logarithmic concepts | 205 |

COLLINS Jos V An elementary exposition of Grassmanns | 207 |

FRUMVELLER A F Quadratic factors of polynomials | 208 |

HARD1NG A M The apparent size of a cube | 209 |

F The rotationvector in elementary differential geometry | 210 |

MILLER G A Introduction to substitution groups | 211 |

REES E L Reply | 212 |

HALSTED George Bruce Answer to queries | 213 |

DRESDEN Arnold Generalization of a simple formula | 214 |

MILLER Hugh A Twentyfifth anniversary of pedagogic activity of Vasilief | 215 |

TREVOR J E Determinants whose arrays are magic squares | 216 |

E Expressions for the elements of a determinant in terms of | 217 |

DICKSON Leonard E A quadratic Cremona transformation defined by a conic | 218 |

FINKEL B F Biography Elisha Scott Loomis A M Ph D | 219 |

PUTNAM T M Residues of certain sums of powers of integers | 220 |

MITCHELL U G Questions and discussions | 221 |

WOODS Roscoe The cochlioid | 222 |

E Three algebraic notes III | 223 |

681 | 224 |

KUNSTADTER Ralph H A method of integrating | 225 |

GALLATLY W Note on the Steiner point | 226 |

H Euclids algorithm for large numbers | 227 |

M A note on matrix power series | 228 |

BECKER Franklin A Mathematical infinity and the differential | 229 |

M Converse and opposite propositions | 230 |

MILLER G A Mathematics in Portugal | 231 |

ALTSHILLERCOURT Nathan College geometry | 232 |

M0ULTON E J The real function defined by xtothey ytothex | 233 |

VOLUME 12 | 234 |

HUME Alfred A proposition in determinants | 235 |

ROE E D Jr Corrections and revisions | 236 |

HALSTED George Bruce Robert Tucker | 237 |

ROOT R E | 238 |

BELL A H Solution to the celebrated indeterminate equation | 239 |

FINKEL B F Notes | 240 |

MCKINNEY Thomas E Concerning simple continued fractions | 241 |

M0ULT0N F R | 242 |

BURNHAM A C On a solution of the general biquadratic equation | 243 |

YOUNGS J W T A lemma on squares | 244 |

CANDY A L Elimination of skidding due to steering mechanism on motor cars | 245 |

GOODWIN Edward J Quadrature of the circle | 246 |

HOLDEN Warren Notes on the demonstration of Euclids eleventh axiom | 247 |

HALSTED George Bruce The length of the circle | 248 |

KENYON A M 5 JAMES G The accuracy | 249 |

YANNEY Benj F 5 CALDERHEAD James A | 250 |

SLAUGHT H E The promotion of collegiate mathematics | 251 |

MORLEY F V Note on the incenters of a quadrilateral | 252 |

COLAW J M Biography Simon Newcomb Ph D LL D | 253 |

BAILEY R P On the treatment of certain problems of elementary probability | 254 |

HARTMAN Philip A differential equation with nonunique solutions | 255 |

REES E L A theorem concerning the concurrency of four planes | 256 |

SLAUGHT H E Remarks by the managing editor | 257 |

TREVOR J E Certain mathematical features of thermodynamics | 258 |

HALSTED George Bruce NonEuclidean geometry historical and expository | 259 |

ACKERMANN Emma C The golden section | 260 |

PENNELL W 0 Fourier series in three dimensions | 261 |

ELL VOOD J K Number and fractions | 263 |

MUIR Thomas A second budget of exercises on determinants | 264 |

HALSTED George Bruce Biography Vasiliev | 265 |

LYLE John N Postulate II of Euclids Elements | 266 |

LYLK John N Two perpendiculars to a transversal | 269 |

Copyright | |