Note-book on practical, solid, or descriptive geometry, by J. H. Edgar and G. S. Pritchard |
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Page 6
... given line , the traces of the line must be determined and those of the plane drawn through them . THEOREM VII . The angle which the tangent plane to a right cone makes with the base of the cone is measured by the plane angle which a ...
... given line , the traces of the line must be determined and those of the plane drawn through them . THEOREM VII . The angle which the tangent plane to a right cone makes with the base of the cone is measured by the plane angle which a ...
Page 7
... angle is an angle equal to the given one . The projection on the same plane , of the circular arc subtending that angle will also be equal to that arc . See Figs . 21 and 22 . Similarly , the projection of any figure on a plane parallel ...
... angle is an angle equal to the given one . The projection on the same plane , of the circular arc subtending that angle will also be equal to that arc . See Figs . 21 and 22 . Similarly , the projection of any figure on a plane parallel ...
Page 12
... given plane is in the first dihedral angle of the planes of projection . The portion between the branches av ' and af is in the second dihedral angle . The portion between af and ag is in the third angle , and the portion between ...
... given plane is in the first dihedral angle of the planes of projection . The portion between the branches av ' and af is in the second dihedral angle . The portion between af and ag is in the third angle , and the portion between ...
Page 14
... angle a straight line makes with a given plane is the angle between the line and its orthographic projection on that plane , or the angle which AB makes with ab , and is therefore the angle 0 . For the same reason is the angle which the ...
... angle a straight line makes with a given plane is the angle between the line and its orthographic projection on that plane , or the angle which AB makes with ab , and is therefore the angle 0 . For the same reason is the angle which the ...
Page 15
... given angle hva and the line inclined at a angle of degrees . At any point h in the given plan draw hV , making the angle 0 ° with hv . Assume points a and b in the plan , draw the perpen- diculars aA and bB , and find points a ' and ...
... given angle hva and the line inclined at a angle of degrees . At any point h in the given plan draw hV , making the angle 0 ° with hv . Assume points a and b in the plan , draw the perpen- diculars aA and bB , and find points a ' and ...
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Note-Book on Practical, Solid, Or Descriptive Geometry, by J. H. Edgar and G ... Joseph Haythorne Edgar No preview available - 2020 |
Common terms and phrases
Algebra ARITHMETIC assumed auxiliary elevation BEGINNERS BROOKE Foss WESTCOTT Cambridge centre Chapter circle of contact CLASS-BOOK cloth conic surface constructed Crown 8vo cube cylinder DESCRIPTIVE GEOMETRY determine the projections determine the traces diameter dihedral angle distance ELEMENTARY TREATISE ellipse English equal Examination Papers Extra fcap face frustum generatrix GEOMETRY given angle given plane given point given straight line Grammar Greek ground line heights hori horizontal edges horizontal plane horizontal trace inches side inclined 50 intersection Isometric Isometric Projection John's College join Latin length Mathematical meet Notes perpendicular Plan and elevation plane at right plane containing plane inclined plane of elevation plane of projection point aa point Q prism PROBLEM Professor pyramid radius required plane revised right angles right cone Schools Second Edition slant edges solid sphere square tangent plane tetrahedron Theorem tion trace of plane Trigonometry vertex vertical plane vertical trace zontal
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