Plane and Solid Geometry1901 |
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Αποτελέσματα 1 - 5 από τα 46.
Σελίδα 2
... joining any two points in the surface lies entirely in the surface ... line ? by a moving surface ? 3. What kind of a surface is represented by the walls of a room ? LINES 19. From the definition of a straight line it 2 GEOMETRY PLANE ...
... joining any two points in the surface lies entirely in the surface ... line ? by a moving surface ? 3. What kind of a surface is represented by the walls of a room ? LINES 19. From the definition of a straight line it 2 GEOMETRY PLANE ...
Σελίδα 11
... lines , which are termed sides , and whose sum is the perimeter of the polygon . The angles included by the adjacent ... line joining the vertices of two non - adjacent angles . 61. A polygon of three sides is called a triangle ; one of ...
... lines , which are termed sides , and whose sum is the perimeter of the polygon . The angles included by the adjacent ... line joining the vertices of two non - adjacent angles . 61. A polygon of three sides is called a triangle ; one of ...
Σελίδα 19
... line joining their ends is parallel to the third side of the triangle . Ex . 51. If in the diagram for Prop . V ZABE = 4 BEF , prove that the bisectors of CBE and DEB are parallel . Ex . 52. If in the annexed diagram AB = CD , LBAC LACD ...
... line joining their ends is parallel to the third side of the triangle . Ex . 51. If in the diagram for Prop . V ZABE = 4 BEF , prove that the bisectors of CBE and DEB are parallel . Ex . 52. If in the annexed diagram AB = CD , LBAC LACD ...
Σελίδα 29
... line joining is perpendicular to the base . Ex . 108. The bisectors of the base angles of an isosceles triangle are equal . PROPOSITION XV . THEOREM 103. If two angles of a triangle are equal , the sides opposite these angles are equal ...
... line joining is perpendicular to the base . Ex . 108. The bisectors of the base angles of an isosceles triangle are equal . PROPOSITION XV . THEOREM 103. If two angles of a triangle are equal , the sides opposite these angles are equal ...
Σελίδα 33
... line , ( LBCB ' = 2 rt . 4 ) . AB = AB ' . .. LB = LB ' , ( base of an isos . △ ) . . : . Δ ΑΒΓ = Δ ΑΒC , ( s . a ... joining their centers bisects AB in E. D E B Ex . 135. If on the sides of an equilateral PARALLEL LINES 33.
... line , ( LBCB ' = 2 rt . 4 ) . AB = AB ' . .. LB = LB ' , ( base of an isos . △ ) . . : . Δ ΑΒΓ = Δ ΑΒC , ( s . a ... joining their centers bisects AB in E. D E B Ex . 135. If on the sides of an equilateral PARALLEL LINES 33.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angles are equal bisect bisector chord circumference circumscribed cone 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 geometrical 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 similar triangles sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM trapezoid triangle ABC triangle are equal triedral vertex
Δημοφιλή αποσπάσματα
Σελίδα 144 - 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 145 - If, from a jwint without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and UK external segment.
Σελίδα 41 - 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 301 - 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 176 - 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 27 - The median to the base of an isosceles triangle is perpendicular to the base.
Σελίδα 149 - 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.
Σελίδα 333 - 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 123 - If a line parallel to one side of a triangle intersects the other two sides, either side is to one of its segments as the other side is to its corresponding segment. For AD:DB = AE : EC.
Σελίδα 308 - 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...