Elements of Descriptive GeometryMacmillan and Company, 1878 - 202 páginas |
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Página viii
... passes through a given point , and is parallel to a given straight line • Problem IV . Given the projections of two points , to determine the distance between them Problem V. Given the projections of a point , and a line through the ...
... passes through a given point , and is parallel to a given straight line • Problem IV . Given the projections of two points , to determine the distance between them Problem V. Given the projections of a point , and a line through the ...
Página xii
... passing through that point Problem II . To draw a tangent plane to a cone through a given point on the surface · • PAGE 112 114 116 118 • Problem III . To draw a tangent plane to a cone through a given ex- ternal point Problem IV . To ...
... passing through that point Problem II . To draw a tangent plane to a cone through a given point on the surface · • PAGE 112 114 116 118 • Problem III . To draw a tangent plane to a cone through a given ex- ternal point Problem IV . To ...
Página 1
... passing through them lies wholly in that surface . The plane is said to contain the line . THEOREM I. Two straight lines which cut one another are in one plane . A E B D Let the two straight lines AB , CD , intersect in the point E ...
... passing through them lies wholly in that surface . The plane is said to contain the line . THEOREM I. Two straight lines which cut one another are in one plane . A E B D Let the two straight lines AB , CD , intersect in the point E ...
Página 4
... passing through D in the plane BDC , and is therefore perpendicular to the plane . Cor . 1. It follows from Def . 4 that if AD is perpendicu- lar to any two lines in the plane it is perpendicular to every line in it . Cor . 2. Any ...
... passing through D in the plane BDC , and is therefore perpendicular to the plane . Cor . 1. It follows from Def . 4 that if AD is perpendicu- lar to any two lines in the plane it is perpendicular to every line in it . Cor . 2. Any ...
Página 26
... passes through the point b , it must be the projector of the point in which the given line meets the vertical plane ... passing through p and p ' , the projections of P ; therefore pĈ and p'c ' are the projections required . Corollary ...
... passes through the point b , it must be the projector of the point in which the given line meets the vertical plane ... passing through p and p ' , the projections of P ; therefore pĈ and p'c ' are the projections required . Corollary ...
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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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