Constructive Text-book of Practical Mathematics, Volume 3J. Wiley & sons, Incorporated, 1914 - Mathematics |
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Common terms and phrases
adjacent angles angle equal angle formed angle opposite arc degrees axiom bisect bisector chord circle circumference coincide conclusion Cone construction line cylinder definition DEVELOPMENT diameter dihedral angle distance divided draw a line Draw the figure equal angles equation extensional relation exterior angle extremity Finish the demonstration frustum generatrix geometry given line homologous sides hypotenuse hypothesis II THEOREM included angle inscribed lateral edges line of intersection line parallel Mathematics measure number of sides oblique outer plane parallelepiped parallelogram pass a plane plane angle point of intersection Polyhedral Angle polyhedron prism produced proportion protractor Prove pyramid quantities radii ratio rectangles regular polygon right angle segment side opposite similar triangles sphere Spherical Angle Spherical Polygon square straight angle straight line Superpose surface tangent THEOREM 13 THEOREM 24 theorem regarding third side transversal triangle equals unequal vertex vertices VII THEOREM work-book Write a theorem Write this theorem
Popular passages
Page 148 - So if a man's wit be wandering, let him study the mathematics ; for in demonstrations, if his wit be called away never so little, he must begin again.
Page 80 - The sum of the squares of the sides of any quadrilateral is equal to the sum of the squares of the diagonals plus four times the square of the line joining the middle points of the diagonals.
Page 158 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Page 197 - The altitude of a cone is the perpendicular distance from the vertex to the base.
Page 65 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Page 172 - DE'F, and consequently symmetrical with DEF. PROPOSITION XIII.—THEOREM. 55. Two triangles on the same sphere are either equal or symmetrical, when a side and two adjacent angles of one are equal respectively to a side and two adjacent angles of the other.
Page 140 - If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other.
Page 121 - The axis of a circle of a sphere is the diameter of the sphere which is perpendicular to the plane of the circle. The ends of the axis are called the poles of the circle.
Page 213 - A right prism is a prism whose lateral edges are perpendicular to its bases.
Page 85 - Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.