 The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane. Thus, A'B' represents the projection...  The Elements of Geometry - Page 232by Walter Nelson Bush, John Bernard Clarke - 1905 - 355 pagesFull view - About this book
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...a dihedral angle lies in a plane bisecting the dihedral angle. LINES AND PLANES IN SPACE 536. DEF. The projection of a point on a plane is the foot of...perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...intersecting planes consists of the two planes bisecting the dihedral angles formed by the planes. 543. DEF. The projection of a point on a plane is the foot of...perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane.... | |
 | Leonard Berger Benny - Engineering mathematics - 1927 - 512 pages
..._i_al 'to XY ; AON = BON' =rt. angle; .'. AOB=NON'=e.] Projection ; line and plane. The (orthogonal) projection of a point on a plane is the foot of the perpendicular from the point to the plane ; thus, if Pp is .I" to the plane (a), p is the projection of P on that plane. tN' Fid. 71. If QR is... | |
 | Virgil Snyder, Charles Herschel Sisam - Geometry, Analytic - 1914 - 314 pages
...XOY; the plane Z OX; the X-axis; the У-axis; the origin. 2. Orthogonal projections. The orthogonal projection of a point on a plane is the foot of the perpendicular from the point to the plane. The orthogonal projection on a plane of a segment PQ of a line* is the segment P'Q' joining the projections... | |
 | Sam Efromovich - Mathematics - 1999 - 423 pages
...is unique. In three-dimensional space, the projection of a point onto a plane is also unique: This is the foot of the perpendicular from the point to the plane. Of course, there arc plenty of examples where a projection is not unique. For instance, a projection... | |
 | James C. Klagge - Biography & Autobiography - 2001 - 292 pages
...orthographic projection upon mutually perpendicular planes are represented. Note that "the orthographic projection of a point on a plane is the foot of the perpendicular from the point to the plane" (Willson 1909, p. 105). Thus, the perpendiculars Pp' and Pp give the projections of the point P on... | |
 | N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...represents the plane which bisects the acute angle between the planes. 4.27. PROJECTION ON A PLANE (0 The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane. Thus f is the projection of P on the plane. (i'i) The projection... | |
 | 464 pages
...concurrent. CHAPTER IV. OBLIQUE POSITIONS OF PLANES AND LINES. Orthogonal projection*. The orthogonal projection of a point on a plane is the foot of the perpendicular from the point to the plane. The orthogonal projection of a line (straight or curved) on a plane is the locus of the projections of... | |
 | 480 pages
...227. Poles, p. 220. Polygon, p. 98. Prism, p. 193. Projection, The projection of a point on a line (or plane) is the foot of the perpendicular from the point to the line (or plane). The projection of a line is the locus of the projection of the points of that line.... | |
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