## 100 Great Problems of Elementary Mathematics: Their History and SolutionProblems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today's would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. Includes 100 problems with proofs. |

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according algebraic altitude angle arbitrary Archimedes auxiliary theorem axis base bicentric quadrilateral bisector chord circumscribed coefﬁcients common divisor congruent conic section conjugate consequently construction coordinates corresponding cosine Desargues determine diameter distance divisible divisor draw earth’s ellipse end points equal equation Euler factors Fermat equation ﬁgure ﬁnally ﬁnd ﬁrst ﬁve follows formula function G-number Gauss given circles heptadecagon homologous hyperbola inequality inﬁnitely inscribed integral involution irreducible latitude line connecting locus magnitude mathematician midpoint obtain paired products pairs parabola parallel pencils perpendicular plane point of intersection polynomial positive possesses prime number problem projection proof proper fraction quadratic quadratic nonresidue quadratic residue quadrilateral radii radius rational represents residue respectively right ascension right triangle roots segment sin2 sine solution sought-for Steiner straight line surface tangent tetrahedron trapezoid vectors vertexes Wallace line x-axis zero