Plane and Solid GeometryLongmans, Green, 1902 - 247 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² altitude angles are equal apothem base and altitude bisector bisects centre chord circumference construct a square construct a triangle cylinder diagonals diameter diedral angles distance divided draw equal angles equal bases equally distant equilateral triangle EXERCISES exterior angle faces Find the area frustum given angle given circle given line given point given straight line given triangle hence hypotenuse intersection isosceles triangle lateral area lateral edges Let ABC line drawn lune mean proportional middle point number of sides opposite sides parallel planes parallelogram perimeter perpendicular plane MN polyedral angle polyedron prove quadrilateral radii ratio rectangle rectangular parallelopiped regular hexagon regular inscribed regular polygon rhombus right prism right triangle SCHOLIUM segments semiperimeter similar slant height sphere spherical polygon spherical triangle surface tangent THEOREM trapezoid triangle ABC triangle is equal triangular prisms triedral V-ABC vertex vertical angle volume
Δημοφιλή αποσπάσματα
Σελίδα 46 - 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 centre.
Σελίδα 105 - ... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude.
Σελίδα 192 - A sphere is a solid bounded by a surface all points of which are equally distant from a point within called the centre.
Σελίδα 79 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос.
Σελίδα 196 - A spherical angle is measured by the arc of a great circle described from its vertex as a pole, and included between its sides, produced if necessary.
Σελίδα 108 - Two triangles having 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.
Σελίδα 80 - If four quantities are in proportion, they are in proportion by composition; that is, the sum of the first two terms is to the second term as the sum of the last two terms is to the fourth term.
Σελίδα 146 - A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.
Σελίδα 30 - In an isosceles triangle, the angles opposite the equal sides are equal.
Σελίδα 148 - Equal oblique lines from a point to a plane meet the plane at equal distances from the foot of the perpendicular ; and of two unequal oblique lines the greater meets the plane at the greater distance from the foot of the perpendicular.