Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field

a₁ algebra of complex algebraic equation angle of parallelism anharmonic ratio anti-derivative Assumption called coefficients common complete quadrangle complex quantities congruent conic convex regions Corollary curve defined definition denoted distance domain of rationality elementary elements equal Euclid Euclidean Euclidean geometry example factor follows formula given gruent harmonic Hence imaginary infinitely distant integers interval irrational isosceles birectangular lines joining Lobachevskian Lobachevskian geometry mathematical method multiple non-Euclidean geometries nth roots pairs of corresponding parallel perpendicular polar positive integer prime proof properties propositions proved quadratic equation quadrilateral rational functions rational numbers real numbers real points regular polygon respectively Riemannian geometry right angles roots of unity satisfy set of postulates sheaf of rays sheaves sides solution straight line tangents Theorem theory theory of equations u₁ uniquely determined values vertices zero