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ABC and DEF ABCD altitude angle formed Apply base bisector bisects called chord circle circumf circumference circumscribed common consequent Construct contains CONVERSELY COROLLARY DEFINITION diagonals diameter difference divided Draw drawn equally distant equiangular equilateral triangle equivalent EXERCISE exterior angles externally extremities figure Find four given given circle given line given point greater half hexagon homologous hypotenuse included increased inscribed intercepted length less Let ABC limit line joining mean measure medians meet middle points opposite sides parallel parallelogram passes perimeter perpendicular polygon prolonged Proof proportion PROPOSITION Prove quadrilateral radii radius ratio rectangle regular inscribed regular polygon Required respectively right angles secants sector segments Show sides similar square straight line Suggestion tangent THEOREM third trapezoid triangle ABC unequal unit vertex vertices Whence
Seite 68 - 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.
Seite 129 - 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.
Seite 120 - If a quadrilateral is circumscribed about a circle, the sum of one pair of opposite sides is equal to the sum of the other pair.
Seite 72 - The lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Seite 203 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other two sides, increased by twice the product of one of these sides and the projection of the other side upon it.
Seite 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Seite 221 - Tangents to a circle at the middle points of the arcs subtended by the sides of a regular inscribed polygon...
Seite 11 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the center.