Plane and Solid GeometryGinn, 1903 - 473 sider |
Inni boken
Resultat 1-5 av 64
Side 1
... edge is applied to any one of them , the straight edge in every part will touch the surface , the faces are called plane surfaces , or planes . FIG . 1 . B 2. The intersection of any two of these surfaces is called a line . 3. The ...
... edge is applied to any one of them , the straight edge in every part will touch the surface , the faces are called plane surfaces , or planes . FIG . 1 . B 2. The intersection of any two of these surfaces is called a line . 3. The ...
Side 269
... edge , the planes MA and NB are the faces , of the dihedral angle . 538. A dihedral angle is designated by its edge , or by its two faces and its edge . Thus , the dihedral angle in the margin may be designated by AB , or by M - AB - N ...
... edge , the planes MA and NB are the faces , of the dihedral angle . 538. A dihedral angle is designated by its edge , or by its two faces and its edge . Thus , the dihedral angle in the margin may be designated by AB , or by M - AB - N ...
Side 270
... edge at the same point . 546. COR . The plane angle of a dihedral angle has the same magnitude from whatever point in the edge the perpendiculars are drawn . For any two such angles , as CAD , GIH , have their sides respectively ...
... edge at the same point . 546. COR . The plane angle of a dihedral angle has the same magnitude from whatever point in the edge the perpendiculars are drawn . For any two such angles , as CAD , GIH , have their sides respectively ...
Side 271
... edges of the dihedral angles thus formed are parallel , the two planes are parallel . 6. Two dihedral angles whose faces are parallel each to each are either equal or supplementary . PROPOSITION XVI . THEOREM . 548. Two dihedral angles ...
... edges of the dihedral angles thus formed are parallel , the two planes are parallel . 6. Two dihedral angles whose faces are parallel each to each are either equal or supplementary . PROPOSITION XVI . THEOREM . 548. Two dihedral angles ...
Side 272
... edges BC and B'C ' pass planes . These planes divide A - BC - D into m parts , and A ' - B'C ' - D ' into n parts , equal each to each . Therefore , A - B'C ' - D ' : A - BC - D = n : m . § 548 Therefore , A ' - B'C ' - D ' : A - BC - D ...
... edges BC and B'C ' pass planes . These planes divide A - BC - D into m parts , and A ' - B'C ' - D ' into n parts , equal each to each . Therefore , A - B'C ' - D ' : A - BC - D = n : m . § 548 Therefore , A ' - B'C ' - D ' : A - BC - D ...
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Vanlige uttrykk og setninger
AB² ABCDE AC² altitude apothem axis bisector bisects called centre chord circumference circumscribed coincide common construct curve denote diagonals diameter dihedral angles distance divided draw ellipse equidistant equilateral triangle equivalent face angles feet Find the area Find the locus frustum given circle given line given point given straight line given triangle greater Hence homologous homologous sides hypotenuse inches intersection lateral area lateral edges length limit middle point number of sides parallel planes parallelogram parallelopiped perimeter perpendicular plane MN polyhedral angle polyhedron prism prismatoid Proof prove Q. E. D. PROPOSITION radii radius ratio rectangle regular polygon regular pyramid respectively right angle right circular right triangle secant segments similar slant height sphere spherical polygon spherical triangle square surface tangent tetrahedron THEOREM trapezoid triangle ABC triangular prism trihedral vertex vertices