Elements of Descriptive GeometryMacmillan and Company, 1878 - 202 páginas |
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Página vii
... common section is a straight line Theorem III . If a straight line be perpendicular to each of two straight lines at ... common section shall be perpendicular to the other 5 · 5 Theorem VI . If two planes which cut one another be both ...
... common section is a straight line Theorem III . If a straight line be perpendicular to each of two straight lines at ... common section shall be perpendicular to the other 5 · 5 Theorem VI . If two planes which cut one another be both ...
Página ix
... common section 46 Problem XIV . To find the point of intersection of a line and a plane . Problem XV . To determine the projections of a line which shall con- tain a given point and be perpendicular to a given plane Problem XVI . To ...
... common section 46 Problem XIV . To find the point of intersection of a line and a plane . Problem XV . To determine the projections of a line which shall con- tain a given point and be perpendicular to a given plane Problem XVI . To ...
Página 2
... common section is a straight line . B M N A Let M and N be the two intersecting planes , their com- mon section is the straight line AB . Proof . Let A and B be two points common to both planes M and N. ...... Since the points A and B ...
... common section is a straight line . B M N A Let M and N be the two intersecting planes , their com- mon section is the straight line AB . Proof . Let A and B be two points common to both planes M and N. ...... Since the points A and B ...
Página 5
... common section of the two planes . the Because AB is perpendicular to the plane MN it is per- pendicular to BC and BD , .... ( Def . 5 ) . But the angle between the planes is measured by the angle ABD , ( Def . 6 ) . ...... Therefore ...
... common section of the two planes . the Because AB is perpendicular to the plane MN it is per- pendicular to BC and BD , .... ( Def . 5 ) . But the angle between the planes is measured by the angle ABD , ( Def . 6 ) . ...... Therefore ...
Página 6
... common section shall be perpendicular to the same plane . B M Let the planes AC and AD be each perpendicular to MN ; it is required to prove that their common section AB is perpendicular to MN . Proof . Let BC and BD be the lines of ...
... common section shall be perpendicular to the same plane . B M Let the planes AC and AD be each perpendicular to MN ; it is required to prove that their common section AB is perpendicular to MN . Proof . Let BC and BD be the lines of ...
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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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