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ABCD added alternate angles altitude angles are equal angles equal arms base bisect called chord circle coincide common CONCLUSION construction contained COROLLARY corresponding describe diagonals difference divided double draw drawn equilateral equivalent EXERCISES exterior figure four geometry given given line given point greater half hypothenuse HYPOTHESIS inscribed intercepted interior angles intersection inverse Join less magnitude mean meet mid-point multiples mutually opposite sides pair parallel parallelogram pass perigon perimeter perpendicular plane polygon position PROBLEM produced PROOF proved radii radius ratio rectangle regular REQUIRED respectively right angle sect segment sides sphere square statement straight angle supplemental surface symmetry taken tangent THEOREM thing third three sides transversal triangle Triangles are congruent true turning unequal vertex vertices whole
Pagina 44 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Pagina 24 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Pagina 190 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Pagina 101 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Pagina 266 - 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.
Pagina 13 - An Acute Angle is one which is less than a right angle.
Pagina 104 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Pagina 107 - In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either side and the projection on it of the other side.