A Geometry Reader |
Common terms and phrases
acute angle adjacent angles altitude angle ABC angle AOB angles are equal angles equal angles of parallels apothem axiom bisect central angles chord circumference construct a square corresponding sides diagonal diameter divided Draw drawn equal angles equal arcs equal circles equal triangles equidistant equilateral triangle Exercises Group figure Find the area geometry given line given square Hints homologous sides hypothenuse inches included angle incommensurable indirect method inscribed angle intercepted arcs intersect isosceles triangle lines are cut mean proportional measured by ½ median middle points number of sides parallelogram perimeter prolonged Proof Prop Proposition quadrilateral radii radius ratio rectangle regular polygon rhombus right angle right triangles secant segments shortest similar polygons similar triangles straight angle straight line student superposition tangent Theorem third side three sides trapezoid triangle ABC triangle whose sides triangles are equal triangles are similar unequal vertex vertices
Popular passages
Page 125 - 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.
Page 234 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 233 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Page 46 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.
Page 97 - Two triangles are congruent if two angles and the included side of one are equal respectively to two angles and the included side of the other.
Page 234 - If two triangles have two sides of the 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.
Page 234 - In an isosceles triangle the angles opposite the equal sides are equal.
Page 254 - Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles...
Page 184 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 187 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.