Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 248
... polyhedral angle , 890 polyhedron , 903 Cube , 917 Curve , convex , 994 Cylinder , 994 altitude of , 994 axis of , 1003 bases of , 994 circular , 994 lateral surface of , 994 oblique , 994 of revolution , 994 right , 994 section of ...
... polyhedral angle , 890 polyhedron , 903 Cube , 917 Curve , convex , 994 Cylinder , 994 altitude of , 994 axis of , 1003 bases of , 994 circular , 994 lateral surface of , 994 oblique , 994 of revolution , 994 right , 994 section of ...
Σελίδα 249
... polyhedral angle , 890 Faces , of dihedral angle , 854 of polyhedral angle , 890 of polyhedron , 903 Frustum of cone , 1049 altitude of , 1049 bases of , 1049 slant height of , 1049 Frustum of pyramid , 952 altitude of , 952 bases of ...
... polyhedral angle , 890 Faces , of dihedral angle , 854 of polyhedral angle , 890 of polyhedron , 903 Frustum of cone , 1049 altitude of , 1049 bases of , 1049 slant height of , 1049 Frustum of pyramid , 952 altitude of , 952 bases of ...
Σελίδα 250
... polyhedral angle , 890 of pyramid , 952 Vertical dihedral angles , 854 polyhedral angles , 890 Vertices , of polyhedron , 903 of spherical polygon , 1106 Volume of solid , 903 Wedge , 1152 volume , 1157 Zone , 1178 altitude of , 1178 ...
... polyhedral angle , 890 of pyramid , 952 Vertical dihedral angles , 854 polyhedral angles , 890 Vertices , of polyhedron , 903 of spherical polygon , 1106 Volume of solid , 903 Wedge , 1152 volume , 1157 Zone , 1178 altitude of , 1178 ...
Σελίδα 279
... polyhedral angle having three faces . If the edges of a polyhedral angle are prolonged through the vertex , the new polyhedral angle formed is called the vertical angle of the first angle . Two polyhedral angles are equal if they can be ...
... polyhedral angle having three faces . If the edges of a polyhedral angle are prolonged through the vertex , the new polyhedral angle formed is called the vertical angle of the first angle . Two polyhedral angles are equal if they can be ...
Σελίδα 280
... polyhedral angle . PROPOSITION XXIV . THEOREM 893. The sum of two face angles of a trihedral angle is greater than the third . X A B Let X - ABC be any trihedral angle . To Prove AXB + BXC > < AXC . Proof . If AXC is equal to or less ...
... polyhedral angle . PROPOSITION XXIV . THEOREM 893. The sum of two face angles of a trihedral angle is greater than the third . X A B Let X - ABC be any trihedral angle . To Prove AXB + BXC > < AXC . Proof . If AXC is equal to or less ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABC and DEF AC² altitude angle formed angles are equal angles equal apothem bisector bisects chord circum circumference cone Construct a triangle COROLLARY cylinder DEFINITION diagonals diameter dihedral angles divided Draw EFGH equally distant equiangular polygon equilateral triangle equivalent EXERCISE exterior angles Find frustum given circle given line given point hypotenuse inscribed angle isosceles triangle joining the middle lateral area Let ABC Let To Prove line joining medians meet middle points number of sides opposite sides parallel parallelogram parallelopiped perimeter perpendicular point of intersection polyhedron prism prolonged PROPOSITION Prove ABCD pyramid quadrilateral radii radius rectangle regular inscribed regular polygon rhombus right angles right-angled triangle SCHOLIUM secants segments Show similar polygons slant height sphere spherical square straight line surface tangent tetrahedron THEOREM trapezoid triangle ABC trihedral unequal vertex vertical angle volume Whence
Δημοφιλή αποσπάσματα
Σελίδα 167 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 139 - A line parallel to one side of a triangle divides the other two sides proportionally.
Σελίδα 187 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 202 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 180 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Σελίδα 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.
Σελίδα 195 - Since similar triangles are to each other as the squares of their homologous sides, ABC : DBE : : AB' : BD3 ; whence BD = AB J ^5| ~ AB A/— ^ — . j A150 f in -f- n The construction of Fig.
Σελίδα 129 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D ; and read, A is to B as C to D.
Σελίδα 15 - If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal.
Σελίδα 17 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.