Elements of Plane and Solid GeometryAmerican Book Company, 1903 - 384 σελίδες |
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Σελίδα 248
... faces of , 854 plane angle of , 854 Dihedral angles , adjacent , 854 vertical , 854 Dimensions of rectangular parallel- opiped , 925 Directrix , of cylindrical surface , 994 of conical surface 248 INDEX OF MATHEMATICAL TERMS.
... faces of , 854 plane angle of , 854 Dihedral angles , adjacent , 854 vertical , 854 Dimensions of rectangular parallel- opiped , 925 Directrix , of cylindrical surface , 994 of conical surface 248 INDEX OF MATHEMATICAL TERMS.
Σελίδα 249
... face angles of , 890 faces of , 890 vertices of , 890 of cylindrical surface , 994 Hexahedron , 903 regular , 993 Homologous angles , edges , faces , of similar polyhedrons , 981 Icosahedron , 903 regular , 993 Isosceles spherical ...
... face angles of , 890 faces of , 890 vertices of , 890 of cylindrical surface , 994 Hexahedron , 903 regular , 993 Homologous angles , edges , faces , of similar polyhedrons , 981 Icosahedron , 903 regular , 993 Isosceles spherical ...
Σελίδα 250
... faces of , 952 quadrangular , 952 regular , 952 slant height of , 952 spherical , 1152 triangular , 952 truncated , 952 vertex of , 952 Quadrangular prism , 903 pyramid , 952 Radius of sphere , 1056 Regular polyhedrons , 992 , 993 prism ...
... faces of , 952 quadrangular , 952 regular , 952 slant height of , 952 spherical , 1152 triangular , 952 truncated , 952 vertex of , 952 Quadrangular prism , 903 pyramid , 952 Radius of sphere , 1056 Regular polyhedrons , 992 , 993 prism ...
Σελίδα 268
... faces . A dihedral angle may be designated by the two letters on its edge , or if more than one dihedral angle have the same edge , by the two letters on the edge together with an additional letter on each face . The above may be read ...
... faces . A dihedral angle may be designated by the two letters on its edge , or if more than one dihedral angle have the same edge , by the two letters on the edge together with an additional letter on each face . The above may be read ...
Σελίδα 269
... faces of the dihedral angle AB will coincide with the faces of A'B ' . ( ? ) .. the dihedral angles AB and A'B ' are equal . CONVERSELY . Q.E.D. If two dihedral angles are equal , their plane [ The dihedral angles may be made to coin ...
... faces of the dihedral angle AB will coincide with the faces of A'B ' . ( ? ) .. the dihedral angles AB and A'B ' are equal . CONVERSELY . Q.E.D. If two dihedral angles are equal , their plane [ The dihedral angles may be made to coin ...
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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.