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acute angle Algebra American Mathematical American Mathematical Monthly angle sum Arithmetic Astronomy axis B. M. ZERR Baldwin University Benjamin Peirce Calculus chord circumference COLAW contributions cube curve diameter difference differential DIOPHANTINE ANALYSIS distance ellipse equal equation Euclid F. P. MATZ feet finite FINKEL follows formula given circle gives groups Hagerstown Halsted Hence High Sohool hypotenuse inches integral intersection Kidder length Lobatschewsky Maryland Mathematical Monthly Mathematical Society mathematicians Mathematics and Astronomy Mathematios Missouri Monterey NON-EUCLIDEAN GEOMETRY Ohio parabola paraboloid parallel Pennsylvania perpendicular plane Prinoipal of High Prof Professor of Mathematics Proposed proposition radius regular polygon right angles roots School sides Simon Newcomb SOLUTIONS TO PROBLEMS solved square number Staunton straight line Substituting surface tangent theorem triangle University University of Mississippi velocity Virginia whence Windsor College