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A B C acute adjacent Axiom base bisect Book chord circle circle whose center circumference circumscribed coincide common Conclusion Construction Corollary corresponding DEFINITIONS Demonstration diagonals diameter difference direction distance divided draw edges equal equal angles equally distant equilateral equivalent exterior extremities fall figure Find follows four given line given point given straight line greater hypotenuse hypothesis included angle inscribed interior angles intersection isosceles triangle lateral less measured meet middle point MISCELLANEOUS EXERCISES oblique lines opposite sides parallel parallelogram pass perimeter perpendicular Place plane position prism problem PROP proportional PROPOSITION proved proved equal pyramid quadrilateral quantities radii radius rectangle respectively right angles right-angled triangle segment similar sphere spherical square Statement straight line surface tangent Theorem third side trapezoid unequal vertex vertical angle XVII
Σελίδα 176 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Σελίδα 91 - 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.
Σελίδα 135 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 154 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the center; as the figure ADB E.
Σελίδα 76 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Σελίδα 293 - The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.
Σελίδα 139 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.
Σελίδα 53 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.