Elementary Geometry, Plane and Solid: For Use in High Schools and AcademiesMacmillan, 1901 - 440 sider |
Inni boken
Resultat 1-5 av 22
Side 296
... trihedral angle . The planes are the boundaries , or the faces , of the angle ; the point is the vertex of the angle ; and the straight lines in which the planes intersect , two and two , are the edges of the angle . In general , the ...
... trihedral angle . The planes are the boundaries , or the faces , of the angle ; the point is the vertex of the angle ; and the straight lines in which the planes intersect , two and two , are the edges of the angle . In general , the ...
Side 298
... trihedral angle is greater than the third face angle . A C E D Let A - BCD be any trihedral angle in which the face angle BAD is greater than either of the other two . It is required to prove that the sum of the face angles BAC and CAD ...
... trihedral angle is greater than the third face angle . A C E D Let A - BCD be any trihedral angle in which the face angle BAD is greater than either of the other two . It is required to prove that the sum of the face angles BAC and CAD ...
Side 300
... trihedral angles have the three face angles of one equal , respectively , to the three face angles of the other , their corresponding dihedral angles are also equal . A Α ' P B P R ' R D Let A - BCD and A ' - B'C'D ' be two trihedral ...
... trihedral angles have the three face angles of one equal , respectively , to the three face angles of the other , their corresponding dihedral angles are also equal . A Α ' P B P R ' R D Let A - BCD and A ' - B'C'D ' be two trihedral ...
Side 301
... the dihedral angle whose edge is AB equals the dihedral angle whose edge is A'B ' . Similarly it may be shown that the other dihedral angles are equal . NOTE . If the parts of the trihedral angles A 460-461 ] 301 LINES AND PLANES IN SPACE.
... the dihedral angle whose edge is AB equals the dihedral angle whose edge is A'B ' . Similarly it may be shown that the other dihedral angles are equal . NOTE . If the parts of the trihedral angles A 460-461 ] 301 LINES AND PLANES IN SPACE.
Side 302
... trihedral angles A - BCD and A ' - B'C ' D ' are arranged in the same order around A , the trihedral angles are equal , and if in the reverse order , they are symmetrical but not equal . In the first case , they could be superposed ; in ...
... trihedral angles A - BCD and A ' - B'C ' D ' are arranged in the same order around A , the trihedral angles are equal , and if in the reverse order , they are symmetrical but not equal . In the first case , they could be superposed ; in ...
Andre utgaver - Vis alle
Elementary Geometry, Plane and Solid: For Use in High Schools and Academies Thomas Franklin Holgate Uten tilgangsbegrensning - 1901 |
Elementary Geometry, Plane and Solid; for Use in High Schools and Academies Thomas F 1859-1945 Holgate Ingen forhåndsvisning tilgjengelig - 2018 |
Elementary Geometry Plane and Solid: For Use in High Schools and Academies Thomas F. Holgate Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD AC² adjacent angles altitude angle formed angles are equal apothem base bisector bisects centre chord coincide convex convex polygon COROLLARY DEFINITION diagonals diameter dicular dihedral angle draw equal angles equal in area equiangular equidistant equilateral triangle EXERCISES face angles figure given circle given line-segment given plane given point given straight line greater Hence hypotenuse identically equal interior angles isosceles triangle length Let ABC line perpendicular magnitudes measure mid-point number of sides opposite sides pair parallel planes parallelepiped parallelogram perimeter perpen plane angles point of contact point of intersection polyhedral angle polyhedron prism Proof Prop Proposition VIII pyramid quadrilateral radii radius ratio rectangle regular polygon required to prove respectively right angles right triangle segments side BC similar sphere square subtended supplementary angle surface tangent tetrahedron theorem triangle ABC triangle is equal trihedral vertex volume
Populære avsnitt
Side 187 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 230 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Side 55 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 76 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Side 43 - Prove that, if two sides of a triangle are unequal, the angle opposite the greater side is greater than the angle opposite the less.
Side 231 - A polygon of three sides is called a triangle ; one of four sides, a quadrilateral; one of five sides, a, pentagon; one of six sides, a hexagon ; one of seven sides, a heptagon ; one of eight sides, an octagon ; one of ten sides, a decagon ; one of twelve sides, a dodecagon.
Side 27 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Side 200 - The area of a triangle is equal to half the product of its base by its altitude.
Side 161 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Side 229 - Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional.