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ABCD acute adjacent altitude angles are equal arc BC base bisector bisects called centre chord circle circumference circumscribed coincide common construct describe diagonals diameter divided Draw line drawn equal equally distant equilateral equivalent EXERCISES exterior angle extremities fall figure Find follows Geometry given Given line given point greater Hence hexagon hypotenuse included inscribed intersect isosceles triangle length less line joining manner mean measured meeting middle point one-half opposite sides parallel parallelogram passes perimeter perpendicular plane polygon PROBLEM produced Proof Prop proportional Prove quadrilateral radii radius ratio rectangle regular inscribed Required respectively right angles right triangle segment side BC similar square straight line surface tangent THEOREM third transversal trapezoid triangle ABC unit values vertex vertices
Σελίδα 73 - A chord is a straight line joining the extremities of an arc ; as AB.
Σελίδα 122 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 151 - If one leg of a right triangle is double the other, the perpendicular from the vertex of the right angle to the hypotenuse divides it into segments which are to each other as 1 to 4.
Σελίδα 224 - The perpendiculars from the vertices of a triangle to the opposite sides are the bisectors of the angles of the triangle formed by joining the feet of the perpendiculars.
Σελίδα 40 - 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 38 - An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 192 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 193 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii or as the squares of their apothems.