 | Charles Davies - Geometry, Descriptive - 1835 - 256 pages
...projec tion of the required point. PROPOSITION IX. THEOREM. If a line be perpendicular to an oblique plane, the projections of the line are respectively perpendicular to the traces of the plane ; that is, the horizontal projection to the horizontal trace, and the vertical projection to the vertical... | |
 | Charles Davies - Geometry, Descriptive - 1840 - 260 pages
...projection of the required point. PROPOSITION IX. THEOREM. If a line be perpendicular to an oblique plane, the projections of the line are respectively perpendicular to the traces of the plane ; that is, the horizontal projection to the horizontal trace, and the vertical projection to the vertical... | |
 | William Guy Peck - Geometry, Analytic - 1875 - 226 pages
...planes will, from the principle of projections, be parallel to the projections of the axis; hence, if a line is perpendicular to a plane, the projections of the line are perpendicular to the traces of the plane. To find the points in which the plane intersects the axis... | |
 | David Allan Low - Geometry, Descriptive - 1884 - 142 pages
...projections of a line which shall pass through a given point and be perpendicular to a given plane. If a line is perpendicular to a plane the projections of the line are perpendicular to the traces of the plane, the plan to the horizontal trace and the elevation to the... | |
 | Charles William MacCord - Geometry - 1895 - 268 pages
...plane, and the horizontal projection will be perpendicular to the horizontal trace. And conversely: if the projections of the line are respectively perpendicular to the traces of the plane, the line itself is perpendicular to the plane. In illustration, let it be required to draw through... | |
 | James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1908 - 116 pages
...traces of the planes6. Find the intersection of a prism 'and a pyramid by the above method. 51. If a line is perpendicular to a plane, the projections of the line will be respectively perpendicular to the traces of the plane. Let AB be the line and T the plane,... | |
 | Victor Tyson Wilson - Geometry, Descriptive - 1909 - 282 pages
...lines.— Line of Intersection of two planes.— Trace of a Hue with any plane. —THEOREM VII. If a line Is perpendicular to a plane, the projections of the line are perpendicular, respectively, to the traces of the plane. — Through a given point, to pass a plane... | |
 | James David Phillips, Adam Vause Millar - Geometry, Descriptive - 1909 - 122 pages
...traces of the plane. 6. Piud the intersection of a prism and a pyramid by the above method. 51. If a line is perpendicular to a plane, the projections of the line will be perpendicular to the respective traces of the plane. Let AB be the line and T the plane, Fig.... | |
 | David Allan Low - Geometrical drawing - 1912 - 468 pages
...Projections of a Line which shall pass through a given Point and be perpendicular to a given Plane. — If a line is perpendicular to a plane the projections of the line are perpendicular to the traces of the plane, the plan to the horizontal and the elevation to the vertical... | |
 | Albert Irvin Frye - Civil engineering - 1913 - 1694 pages
...3d HP be the traces of the plane P TO FIND LENGTHS AND ANGLES. 265 Solution. — If a line in space is perpendicular to a plane, the projections of the...respectively perpendicular to the traces of the plane; and conversely. Therefore, draw LV fro m ov perpendicular 19 VP, and ih (rom al> perpendicular to HP,... | |
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If a line is perpendicular to a plane the projections of the line are perpendicular to the traces of the plane, the plan to the horizontal trace and the elevation to the vertical trace. 
