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ABCD acute altitude base bisector bisects chord circle circumference circumscribed coincide common construct contains denoted describe determine diagonal diameter difference direction distance divided Draw drawn equal equidistant equilateral triangle equivalent EXERCISES exterior angle extremities figure Find Find the area formed four geometric given circle given line given point greater GROUP Hence hexagon hypotenuse included inscribed intersect isosceles triangle joining length Let the pupil limit mean measure median meet method midpoint opposite pair parallel lines parallelogram passes perimeter perpendicular plane polygon Post PROBLEM produced Proof Prop properties proportional PROPOSITION prove quadrilateral radii radius ratio rectangle regular polygon respectively right angles right triangle segments sides similar square straight line symmetry tangent THEOREM third trapezoid unit variable vertex vertices
Page 82 - Prove analytically that the medians of a triangle meet in a point. 70. Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Page 103 - 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.
Page 211 - If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment.
Page 78 - The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to one-half of it.
Page 103 - A chord is a straight line joining the extremities of an arc.
Page 47 - If two triangles have two sides of one equal respectively to two sides of the other...
Page 114 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.
Page 315 - Find the area of a regular hexagon inscribed in a circle whose diameter is twelve inches.