Constructive Text-book of Practical Mathematics, Τόμος 3J. Wiley & sons, Incorporated, 1914 |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
adjacent angles altitude angle formed angle opposite arc cutting arc degrees axiom bisect bisector chord circle circumference circumscribed coincide Cone construction line cylinder diameter dicular dihedral angle directional relation distance divided draw a line Draw the figure equal angles equation extensional relation exterior angle extremity Finish the demonstration frustum generatrix geometry given line greater homologous sides hypothesis inscribed lateral edges line of intersection line parallel measure number of sides oblique outer plane parallelogram pass a plane perpen plane angle point of division point of intersection point of tangency Polyhedral Angle polyhedron prism produced proportion 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 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 X THEOREM
Δημοφιλή αποσπάσματα
Σελίδα 172 - 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.
Σελίδα 104 - 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.
Σελίδα 182 - 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.
Σελίδα 221 - The altitude of a cone is the perpendicular distance from the vertex to the base.
Σελίδα 89 - ... 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.
Σελίδα 196 - 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.
Σελίδα 164 - If two planes are perpendicular to each other, a line drawn in one of them perpendicular to their intersection is perpendicular to the other.
Σελίδα 145 - 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.
Σελίδα 237 - A right prism is a prism whose lateral edges are perpendicular to its bases.
Σελίδα 109 - 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.