Exercises in GeometryD.C. Heath, 1909 - 81 páginas |
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Términos y frases comunes
12 feet 12 inches acute angle adjacent angles adjacent sides angle opposite angles are equal apothem base and altitude bisector bisects central angle circumference circumscribed circle common internal tangent construct a square diagonals diameter equal triangles equiangular polygon equilateral triangle exterior angle feet long Find the area find the homologous Find the length Find the locus Find the number Find the radius Find the segments Find the side given circle given line given point given square given triangle Group VII homologous altitude homologous sides hypotenuse inches long intersection isosceles trapezoid joining the middle line parallel median middle points opposite side perimeter perpendicular point of contact prove that angle quadrilateral radii rectangle regular hexagon regular inscribed regular polygon rhombus right angle right isosceles triangle right triangle secants are drawn similar triangles square equivalent third side trapezoid triangle ABC triangles are equal vertex vertical angle
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Página 52 - If two triangles have an angle of one equal to an angle of the other, and...
Página 44 - The square of the bisector of an angle of a triangle is equal to the product of the sides forming the angle diminished by the product of the segments of the third side formed by the bisector.
Página 39 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 40 - In any triangle, the square of the side opposite to an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of these sides and the projection of the other upon that side.
Página 69 - A radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.
Página 40 - 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.
Página 48 - The area of a triangle is equal to one half the product of its perimeter by the radius of the inscribed circle.
Página 44 - If two tangents are drawn to a circle at the extremities of a diameter, the portion of any third tangent intercepted between them is divided at its point of contact into segments whose product is equal to the square of the radius.
Página 44 - In any triangle the product of any two sides is equal to the product of the diameter of the circumscribed circle by the altitude upon the third side.
Página 17 - The sum of the perpendiculars dropped from any point in the base of an isosceles triangle to the legs, is equal to the altitude upon one of the arms.