Elements of Descriptive GeometryMacmillan and Company, 1878 - 202 páginas |
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Página v
... theorems on the straight line and plane , and to introduce occasional theorems in the other parts of the work ; my object being to establish the principles before giving their applications ... The other difficulty to which I have ...
... theorems on the straight line and plane , and to introduce occasional theorems in the other parts of the work ; my object being to establish the principles before giving their applications ... The other difficulty to which I have ...
Página vii
... Theorem II . If two planes cut one another , their common section is a straight line Theorem III . If a straight line be perpendicular to each of two straight lines at their point of intersection , it shall also be per- pendicular to ...
... Theorem II . If two planes cut one another , their common section is a straight line Theorem III . If a straight line be perpendicular to each of two straight lines at their point of intersection , it shall also be per- pendicular to ...
Página viii
... Theorem XIII . Planes to which the same straight line is perpendicular are parallel to one another Theorem XIV . If two straight lines which meet one another be parallel respectively to two other lines which meet , but are not in the ...
... Theorem XIII . Planes to which the same straight line is perpendicular are parallel to one another Theorem XIV . If two straight lines which meet one another be parallel respectively to two other lines which meet , but are not in the ...
Página xi
... Theorem Exercises CHAPTER IV . 86 98 100 102 104 • • 106 CURVED SURFACES AND TANGENT PLANES . Theorem I. The tangents to a surface at any point are all in the same plane THE CONE • · 110 • 111 Problem I. Given one projection of a point ...
... Theorem Exercises CHAPTER IV . 86 98 100 102 104 • • 106 CURVED SURFACES AND TANGENT PLANES . Theorem I. The tangents to a surface at any point are all in the same plane THE CONE • · 110 • 111 Problem I. Given one projection of a point ...
Página xii
J. B. Millar. Theorem II . The tangent plane to a cone at any point is a tangent at every point of the generator ... Theorem III . Every plane section of a sphere is a circle Problem XV . Given the projections of four points on the ...
J. B. Millar. Theorem II . The tangent plane to a cone at any point is a tangent at every point of the generator ... Theorem III . Every plane section of a sphere is a circle Problem XV . Given the projections of four points on 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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