The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
Im Buch
Ergebnisse 1-5 von 28
Seite 140
... dihedral angle is formed by two planes which intersect . The line of intersection is called the edge of the angle , and the planes them- selves the faces of the angle . 4. If from any point in the edge of a dihedral angle two straight ...
... dihedral angle is formed by two planes which intersect . The line of intersection is called the edge of the angle , and the planes them- selves the faces of the angle . 4. If from any point in the edge of a dihedral angle two straight ...
Seite 162
... dihedral angle . Before proceding further , let the student refer to Defs . 3 , 4 , 7 , and ( Prop . II . Chap . 11. ) ; he will then see that this pro- position is only the proper ... dihedral angles 162 GEOMETRY OF PLANES AND SOLIDS .
... dihedral angle . Before proceding further , let the student refer to Defs . 3 , 4 , 7 , and ( Prop . II . Chap . 11. ) ; he will then see that this pro- position is only the proper ... dihedral angles 162 GEOMETRY OF PLANES AND SOLIDS .
Seite 163
... angles are equal ; and ( 2. ) If the profile angles of two dihedral angles be equal , the dihedral angles are themselves equal . A P ( 1. ) Let PABQ , P'A'B'Q ' be two equal dihedral angles , and PQ , P'Q ' the profile planes ; PB , BQ ...
... angles are equal ; and ( 2. ) If the profile angles of two dihedral angles be equal , the dihedral angles are themselves equal . A P ( 1. ) Let PABQ , P'A'B'Q ' be two equal dihedral angles , and PQ , P'Q ' the profile planes ; PB , BQ ...
Seite 164
... dihedral angles have the same ratio to one another that their profile angles have to one another . Let PABM , MBAQ be two dihedral angles , whose profile angles are PBM , MBQ : then PABM : MABQ :: PBM : MBQ . [ In the figure , the dihedral ...
... dihedral angles have the same ratio to one another that their profile angles have to one another . Let PABM , MBAQ be two dihedral angles , whose profile angles are PBM , MBQ : then PABM : MABQ :: PBM : MBQ . [ In the figure , the dihedral ...
Seite 165
... dihedral angles are R T M W N P equal ( Prop . IX . ) , viz . , PABN and QBAM . In the same manner the opposite dihedral angles PABM , NBAQ are equal . That is , if two planes cut each other , the opposite dihedral angles are equal . F ...
... dihedral angles are R T M W N P equal ( Prop . IX . ) , viz . , PABN and QBAM . In the same manner the opposite dihedral angles PABM , NBAQ are equal . That is , if two planes cut each other , the opposite dihedral angles are equal . F ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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