Popular Mathematics: The Understanding and Enjoyment of Mathematics

algebraic analytic geometry ancient any-number arc length arithmetic Axiom Axiom 9 basic calculating called circle circumference conclusion conic sections coordinates corresponding cosine curve decimal definition Descartes Descartes's diagram diameter dihedral angle distance divided drawing drawn ellipse equal equation Euclid example expressed face angles fact feet follows formula fractions Greeks Hence hyperbola hypotenuse hypothesis idea inches intersect length mathe mathematicians mathematics matics means measured method metic minus modern multiply obtain operation opposite P₁ pair parabola parallel lines parallelogram perpendicular plane geometry position prism problem PROPOSITION Pythagorean theorem radius ratio reasoning rectangle relation result right angles right triangle rule of signs shown adjoining simple sine slope solid space sphere spherical spherical angle square root Step straight line Substituting subtraction symbols tangent theorem thing tion triangle ABC trigonometry values vertical whole numbers X-AXIS y-axis y₁ zero