The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 140
... faces of the angle . 4. If from any point in the edge of a dihedral angle two straight lines be drawn , one in each of the faces perpendicular to the edge , they form the profile angle of the planes . Their inclination to one another is ...
... faces of the angle . 4. If from any point in the edge of a dihedral angle two straight lines be drawn , one in each of the faces perpendicular to the edge , they form the profile angle of the planes . Their inclination to one another is ...
Σελίδα 141
... faces , and takes its name from the number of those faces . Thus the tetrahedron has four faces , the hexahedron six , the octo- hedron eight , the dodecahedron twelve , and the icosahedron twenty . These names , however , are only ...
... faces , and takes its name from the number of those faces . Thus the tetrahedron has four faces , the hexahedron six , the octo- hedron eight , the dodecahedron twelve , and the icosahedron twenty . These names , however , are only ...
Σελίδα 152
... faces of a parallelopiped are parallelograms ; those which are opposite are equal : the edges are equal and parallel in fours ; and the diagonals which join the four pairs of opposite angles meet in one point , and are bisected there ...
... faces of a parallelopiped are parallelograms ; those which are opposite are equal : the edges are equal and parallel in fours ; and the diagonals which join the four pairs of opposite angles meet in one point , and are bisected there ...
Σελίδα 153
... faces of the parallelopiped ) is a parallelogram : and in the same way it is proved that all the others are paral- lelograms . ( 2. ) The opposite pairs of parallelo- grams , as AC , A'C ' , are equal . A ' A ' ' For AD , BC , A'D ' , B ...
... faces of the parallelopiped ) is a parallelogram : and in the same way it is proved that all the others are paral- lelograms . ( 2. ) The opposite pairs of parallelo- grams , as AC , A'C ' , are equal . A ' A ' ' For AD , BC , A'D ' , B ...
Σελίδα 162
... faces of the dihe- dral angle MNQP , PN its edge , and RNQS a profile plane whose traces are R RN , NQ : then RN ... face to one another , and those in the other to one another ; and ( 2. ) All the profile angles of the same dihedral ...
... faces of the dihe- dral angle MNQP , PN its edge , and RNQS a profile plane whose traces are R RN , NQ : then RN ... face to one another , and those in the other to one another ; and ( 2. ) All the profile angles of the same dihedral ...
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ABC is equal ABCD adjacent angles angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone construction coordinate planes described Descriptive Geometry diameter dicular dihedral angles draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence horizontal hyperbola inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular perpendicular to MN plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical angle tangent THEOR trace triangle ABC trihedral vertex Whence Wherefore