Elements of Descriptive GeometryMacmillan and Company, 1878 - 202 páginas |
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Página viii
... right angles to one another , their projections on a plane parallel to one of them shall also be at right angles 15 Theorem XVIII . If the projections of two straight lines be at right angles to one another , and one of the lines ...
... right angles to one another , their projections on a plane parallel to one of them shall also be at right angles 15 Theorem XVIII . If the projections of two straight lines be at right angles to one another , and one of the lines ...
Página 3
... right angles to every line meeting it in that plane . The foot of the perpendicular is the point in which it meets ... right angles to it , one in each plane . DEF . 7. When the angle between two planes is a right angle , the planes are ...
... right angles to every line meeting it in that plane . The foot of the perpendicular is the point in which it meets ... right angles to it , one in each plane . DEF . 7. When the angle between two planes is a right angle , the planes are ...
Página 4
... angle ADF = EDF . That is ADF and EDF are right angles . Therefore AD is perpendicular to DF . In a similar way it may be shown that AD is perpen- dicular to every line passing through D in the plane BDC , and is therefore perpendicular ...
... angle ADF = EDF . That is ADF and EDF are right angles . Therefore AD is perpendicular to DF . In a similar way it may be shown that AD is perpen- dicular to every line passing through D in the plane BDC , and is therefore perpendicular ...
Página 7
... angles B and D two right angles . Therefore the lines are parallel . THEOREM VIII . If two straight lines be parallel , THE STRAIGHT LINE AND PLANE . 7 Two straight lines which are perpendicular to the same plane are parallel to one ...
... angles B and D two right angles . Therefore the lines are parallel . THEOREM VIII . If two straight lines be parallel , THE STRAIGHT LINE AND PLANE . 7 Two straight lines which are perpendicular to the same plane are parallel to one ...
Página 8
... angles ABD and CDB are together equal to two right angles ; but since AB is perpendicular to MN , ABD is a right angle ; therefore CDB is a right angle . Because AB is perpendicular to MN , the plane ABD is also perpendicular to MN ...
... angles ABD and CDB are together equal to two right angles ; but since AB is perpendicular to MN , ABD is a right angle ; therefore CDB is a right angle . Because AB is perpendicular to MN , the plane ABD is also perpendicular to MN ...
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Términos y frases comunes
abcd auxiliary planes axes BALFOUR STEWART centre common section cone of revolution conical surface Construction contain a given contains the line Crown 8vo curve of intersection describes a circle determine the traces diameter dihedral angles distance draw a line draw a tangent Draw the projections drawn edge ELEMENTARY TREATISE ellipse equal faces Fcap figure find the point find the projections find the traces given line given point given spheres ground line horizontal plane horizontal projection horizontal trace hyperboloid inclined at 45 limiting planes meridian numerous Illustrations Owens College P. G. TAIT pendicular perpendicular plane containing plane LMN plane of projection plane parallel plane required point of intersection position Prob PROBLEM Professor Proof rabatment radius required to find respectively revolving right angles ruled surface straight line surface of revolution tangent plane Theor THEOREM tion trihedral vertex vertical plane vertical projection vertical trace
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