Elements of Descriptive GeometryMacmillan and Company, 1878 - 202 páginas |
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Página 3
... A D B E Let AD be perpendicular to DB and DC at their point of intersection D ; it is required to prove that AD is per- pendicular to the plane BDC . = Let AD be produced to E , so that 1-2 THE STRAIGHT LINE AND PLANE . 3.
... A D B E Let AD be perpendicular to DB and DC at their point of intersection D ; it is required to prove that AD is per- pendicular to the plane BDC . = Let AD be produced to E , so that 1-2 THE STRAIGHT LINE AND PLANE . 3.
Página 4
... proved in a similar way that AC = CE . Therefore the two triangles ABC , EBC have the three sides of the one respectively equal to the three sides of the other , and are consequently equal in every respect . Hence if the triangle EBC ...
... proved in a similar way that AC = CE . Therefore the two triangles ABC , EBC have the three sides of the one respectively equal to the three sides of the other , and are consequently equal in every respect . Hence if the triangle EBC ...
Página 5
... prove that any plane ABC which contains AB is perpen- dicular to MN . Proof . Let BD in MN be a perpendicular to BC , common section of the two planes . the Because AB is perpendicular to the plane MN it is per- pendicular to BC and BD ...
... prove that any plane ABC which contains AB is perpen- dicular to MN . Proof . Let BD in MN be a perpendicular to BC , common section of the two planes . the Because AB is perpendicular to the plane MN it is per- pendicular to BC and BD ...
Página 6
... prove that AB is a normal to the plane MN . MN . Proof . Let BD be a perpendicular to BC in the plane Then because the plane AC is perpendicular to MN , the angle ABD is a right angle , ( Def . 7 ) . ...... Therefore AB is perpendicular ...
... prove that AB is a normal to the plane MN . MN . Proof . Let BD be a perpendicular to BC in the plane Then because the plane AC is perpendicular to MN , the angle ABD is a right angle , ( Def . 7 ) . ...... Therefore AB is perpendicular ...
Página 7
... prove that they are parallel to one another . Proof . Let B and D be the points of intersection of the lines with MN . Because AB is perpendicular to MN the plane ABD is perpendicular to it also , ...... ( Theor . IV . ) . Because the ...
... prove that they are parallel to one another . Proof . Let B and D be the points of intersection of the lines with MN . Because AB is perpendicular to MN the plane ABD is perpendicular to it also , ...... ( Theor . IV . ) . Because the ...
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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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