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ABCD adjacent altitude angles are equal approach arc BC base bisector bisects called centre chord circle circumference circumscribed coincide common construct describe diagonals diameter divided Draw A ABC Draw line drawn equal equal respectively equal sides equally distant equilateral triangle equivalent extended exterior angle extremities fall figure Find follows Given Given line given point greater Hence homologous sides hypotenuse inches included inscribed intercepted intersect isosceles triangle length limit manner mean measured meeting middle point Note one-half opposite sides parallel parallelogram perimeter perpendicular places polygon portion PROBLEM Proof PROP proportional Prove quadrilateral radii radius ratio rectangle regular polygon Required respectively right angles right triangle secant segments sides similar square statement straight line surface tangent THEOREM transversal trapezoid triangle unit vertex vertices
Σελίδα 50 - Two parallelograms are congruent if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other.
Σελίδα 136 - ... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 17 - In an isosceles triangle the angles opposite the equal sides are equal.
Σελίδα 124 - If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment.
Σελίδα 39 - If two angles of a triangle are equal, the sides opposite are equal.
Σελίδα 44 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Σελίδα 58 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Σελίδα 6 - C as a centre, and with a radius sufficiently great, describe an arc cutting the line AB in two points, A and B ; then, from...