On the Study and Difficulties of Mathematics

absurd ALFRED BINET algebra algebraical quantity apply arithmetic asserted AUGUSTUS DE MORGAN ax² axioms beginner binomial theorem called circle Cloth connexion contained cyphers decimal fraction deduced definition denominator difficulties divided division divisor elementary equa equal equation Euclid evident exact number example expression factors figure geometry give given greater greatest common measure inch less letter linear unit logarithms mA-nB magnitude manner mathematics meaning method metic move multiplied nevertheless notion observe operations PAUL CARUS premisses principles problem proceed proportion proposition proved quantity quotient reasoning recollect rectangle reduced remainder represented result right angles rule sides simple solution species square root stand straight line student subtraction suppose supposition symbol taken term theorem theory of equations tion treatise triangle true truth whole numbers written