Elements of Descriptive GeometryMacmillan and Company, 1878 - 202 páginas |
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Página 6
... ( Theor . III . ) . Cor . If from any point of the plane AC a normal be drawn to MN , that normal must lie wholly in AC , for if not , two normals could be drawn to MN from the same point in AC , which is impossible , ...... ( Theor . III ...
... ( Theor . III . ) . Cor . If from any point of the plane AC a normal be drawn to MN , that normal must lie wholly in AC , for if not , two normals could be drawn to MN from the same point in AC , which is impossible , ...... ( Theor . III ...
Página 7
... ( Theor . v . Cor . ) . Similarly it must lie in AD . Therefore AB is the normal to MN at the point B. THEOREM VII ... ( Theor . IV . ) . Because the plane ABD is perpendicular to MN , and the line DC is drawn through D perpendicular to MN ...
... ( Theor . v . Cor . ) . Similarly it must lie in AD . Therefore AB is the normal to MN at the point B. THEOREM VII ... ( Theor . IV . ) . Because the plane ABD is perpendicular to MN , and the line DC is drawn through D perpendicular to MN ...
Página 8
... ( Theor . IV . ) . But it has been proved that CD is in the plane ABD , and that it is perpendicular to BD , the common section of the two planes . Therefore CD is perpendicular to MN , THEOREM IX . ...... ... .. ( Theor . v . ) . Two ...
... ( Theor . IV . ) . But it has been proved that CD is in the plane ABD , and that it is perpendicular to BD , the common section of the two planes . Therefore CD is perpendicular to MN , THEOREM IX . ...... ... .. ( Theor . v . ) . Two ...
Página 9
... ( Theor . VIII . ) . ...... And consequently parallel to one another , ( Theor . VII . ) . DEF . 8. A straight line and a plane are parallel to one another when they cannot meet , however far they may be produced . DEF . 9. Planes which ...
... ( Theor . VIII . ) . ...... And consequently parallel to one another , ( Theor . VII . ) . DEF . 8. A straight line and a plane are parallel to one another when they cannot meet , however far they may be produced . DEF . 9. Planes which ...
Página 11
... ( Theor . x . ) . THEOREM XII . If two parallel planes be cut by another plane , their com- mon sections with it shall be parallel . B K D M Let the parallel planes K and M be cut by the plane . ABD in the lines AB , CD , respectively ...
... ( Theor . x . ) . THEOREM XII . If two parallel planes be cut by another plane , their com- mon sections with it shall be parallel . B K D M Let the parallel planes K and M be cut by the plane . ABD in the lines AB , CD , respectively ...
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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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