 | Albert Ensign Church - Geometry, Analytic - 1851 - 318 pages
...Art. (28) ; and condition (3) proves that the projection CM' is perpendicular to DC. Hence, if a right line is perpendicular to a plane, its projections are perpendicular to the traces of the plane, respectively. 60. Let #', yrj 2', be the co-ordinates of a given point, and %... | |
 | Albert Ensign Church - Geometry, Analytic - 1854 - 322 pages
...Art. (28) ; and condition (3) proves that the projection CM' is perpendicular to DC. Hence, if a right line is perpendicular to a plane, its projections are perpendicular to the traces of the plane, respectively. 60. Let x', y', z', be the co-ordinates of a given point, and z... | |
 | Henry Angel - Geometry, Plane - 1880 - 372 pages
...inclined only to one plane, as in fig. 107, the solution is very simple. On page 121 it is stated, that when a line is perpendicular to a plane, its projections are perpendicular to the traces of the plane, the plan to the ht, and the elevation to the vt If, then, a line a'6' be drawn... | |
 | Henry Angel - 1880 - 360 pages
...Through a given point in a straight line, to draw a plane perpendicular to the given line. (Fig. 120.) When a line is perpendicular to a plane, its projections are perpendicular to the traces of that plane, so that, as the projections of the line are given, the traces of the plane will... | |
 | William Lewis Ames, Carl Wischmeyer - Geometry, Descriptive - 1918 - 130 pages
...planes. 224. Find the point of intersection of line A with plane 3 (Fig. 110) .. XIII. Perpendiculars. If a line is perpendicular to a plane its projections...perpendicular to the corresponding traces of the plane. FIG. 111. Problem 40. — Through a given point, to draw a line perpendicular to> a given plane. Through... | |
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Hence, if a right line is perpendicular to a plane, its projections are perpendicular to the traces of the plane, respectively. 