Elements of Descriptive GeometryMacmillan and Company, 1878 - 202 páginas |
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Página xii
... ground - line 120 122 • • 130 . 130 Problem X. Through a given point on a cylinder of revolution to draw a tangent plane to the surface , when the axis of the cylinder is parallel to the ground - line Problem XI . Through a given ...
... ground - line 120 122 • • 130 . 130 Problem X. Through a given point on a cylinder of revolution to draw a tangent plane to the surface , when the axis of the cylinder is parallel to the ground - line Problem XI . Through a given ...
Página xiii
... line and touching a given sphere 152 Problem XIX . To find the vertex of a cone which shall envelop two given ... ground - line 174 176 Problem V. To find the curve of intersection of a cylinder and a sur- face of revolution 180 • • PAGE ...
... line and touching a given sphere 152 Problem XIX . To find the vertex of a cone which shall envelop two given ... ground - line 174 176 Problem V. To find the curve of intersection of a cylinder and a sur- face of revolution 180 • • PAGE ...
Página 18
... extended to the projections of points and lines . As the planes are at right angles to one another any point on one of them has for its projection on the other a point on the ground line ( Theor . v . 18 DESCRIPTIVE GEOMETRY .
... extended to the projections of points and lines . As the planes are at right angles to one another any point on one of them has for its projection on the other a point on the ground line ( Theor . v . 18 DESCRIPTIVE GEOMETRY .
Página 19
... ground line ( Theor . VI . ) , so that xy is at right angles to aa 。 and a'a : hence- The perpendiculars drawn from the projections of a point to the ground line meet it in the same point . The lines aa , and a'a , are respectively ...
... ground line ( Theor . VI . ) , so that xy is at right angles to aa 。 and a'a : hence- The perpendiculars drawn from the projections of a point to the ground line meet it in the same point . The lines aa , and a'a , are respectively ...
Página 20
... ground line at the same point , which is the point of intersection of the ground line with the plane . Hence when the ground line is parallel to a plane it is parallel to the traces of that plane . If a plane be parallel to one of the ...
... ground line at the same point , which is the point of intersection of the ground line with the plane . Hence when the ground line is parallel to a plane it is parallel to the traces of that plane . If a plane be parallel to one of 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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