Plane and Solid GeometryMacmillan, 1901 - 370 σελίδες |
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Αποτελέσματα 1 - 5 από τα 40.
Σελίδα 251
... faces are the intersecting planes . Thus , in the diedral angle formed by the planes AC and BE , BC is the edge and AC and BE are the faces . 493. A diedral angle may be desig- nated by two letters on its edge ; or if several diedral ...
... faces are the intersecting planes . Thus , in the diedral angle formed by the planes AC and BE , BC is the edge and AC and BE are the faces . 493. A diedral angle may be desig- nated by two letters on its edge ; or if several diedral ...
Σελίδα 252
... faces , but upon the difference of their positions . 495. Two diedral angles are equal when they can be made to coincide . By superposing two equal diedral angles , their plane angles can be made to coincide . 496. A diedral angle is ...
... faces , but upon the difference of their positions . 495. Two diedral angles are equal when they can be made to coincide . By superposing two equal diedral angles , their plane angles can be made to coincide . 496. A diedral angle is ...
Σελίδα 258
... faces of the angle . E H Hyp . Plane CB bisects diedral △ ABED , and FG and FH are the respective distances of a point F in BC , from AB and BD . To prove FH = FG . Proof . Through FG and FH pass a plane intersecting the faces in EG ...
... faces of the angle . E H Hyp . Plane CB bisects diedral △ ABED , and FG and FH are the respective distances of a point F in BC , from AB and BD . To prove FH = FG . Proof . Through FG and FH pass a plane intersecting the faces in EG ...
Σελίδα 262
... faces , and the angles AVB , BVC , CVA are the face angles of the polyedral angle V - ABC . V B The magnitude of a polyedral angle depends upon the relative positions of its faces and not upon their extent . In a polyedral angle each ...
... faces , and the angles AVB , BVC , CVA are the face angles of the polyedral angle V - ABC . V B The magnitude of a polyedral angle depends upon the relative positions of its faces and not upon their extent . In a polyedral angle each ...
Σελίδα 263
... face and diedral angles of the one are respectively equal to the face and diedral angles of the other one , and all the parts are arranged in the same order ( for evidently they can be made to coincide ) . Two polyedral angles are ...
... face and diedral angles of the one are respectively equal to the face and diedral angles of the other one , and all the parts are arranged in the same order ( for evidently they can be made to coincide ) . Two polyedral angles are ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal bisect bisector chord circumference circumscribed cone construct a triangle cylinder diagonals diagram for Prop diameter diedral angles divide draw drawn equiangular equiangular polygon equilateral triangle equivalent exterior angle face angles find a point Find the area Find the radius Find the volume frustum given circle given line given point given triangle Hence HINT homologous hypotenuse inches inscribed intersecting isosceles triangle joining the midpoints lateral area lateral edges line joining mean proportional median opposite sides parallel lines parallelogram parallelopiped perimeter perpendicular plane MN point equidistant polyedral angle polyedron PROPOSITION prove Proof quadrilateral radii ratio rectangle regular polygon respectively equal rhombus right angles right triangle SCHOLIUM segments sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 148 - 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.
Σελίδα 150 - If, from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment.
Σελίδα 180 - 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 45 - 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.
Σελίδα 337 - A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the...
Σελίδα 305 - A cylinder is a solid bounded by a cylindrical surface and two parallel planes ; the bases of a cylinder are the parallel planes; and the lateral surface is the cylindrical surface.
Σελίδα 312 - The lateral areas, or the total areas, of similar cylinders of revolution are to each other as the squares of their altitudes, or as the squares of their radii ; and their volumes are to each other as the cubes of their altitudes, or as the cubes of their radii. Let S, S' denote the lateral areas, T, T...
Σελίδα 149 - If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment.
Σελίδα 328 - Every section of a sphere made by a plane is a circle.
Σελίδα 257 - If two intersecting planes are each perpendicular to a third plane, their intersection is perpendicular to that plane.