 | Gaspard Monge (comte de Péluse.), John Fry Heather - 1851 - 152 pages
...selecting for the objects of comparison, planes whose positions are easily imagined. 3. DEFINITION. — The projection of a point upon a plane is the foot of the perpendicular let fall from the point upon the plane. If then we have two planes whose positions... | |
 | John Fry Heather - Geometry, Descriptive - 1851 - 156 pages
...selecting for the objects of comparison, planes whose positions are easily imagined. 3. DEFINITION. — The projection of a point upon a plane is the foot of the perpendicular let fall from the point upon the plane. If then we have two planes whose positions... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...projections, two of which are, in general, sufficient to fix the position of these elements in space. The projection of a point upon a plane, is the foot of the perpendicular drawn from the point to the plane ; the perpendicular is called the projecting line... | |
 | W.E. WORTHEN - 1857 - 600 pages
...to represent the position in space of a point, by referring it planes whose position is established. The projection of a point upon a plane is the foot of the perpendicular let fall from the point on the plane. If, therefore, on two planes not parallel to... | |
 | William Ezra Worthen - Architectural drawing - 1857 - 650 pages
...to represent the position in space of a point, by referring it planes whose position is established. The projection of a point upon a plane is the foot of the perpendicular let fall from the point on the plane. If, therefore, on two planes not parallel to... | |
 | James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pages
...the perpendiculars meet the given planes, are the projections of the point A in space. NOTE 1. — The projection of a point upon a plane is the foot...perpendicular let fall from the point upon the given plane. NOTE 2. — The line which projects a point upon a plane, is termed the projector of that point, eg,... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...point without the plane is a circle drawn around the foot of the perpendicular as a centre. 597. Def. The projection of a point upon a plane is the foot of the perpendicular dropped from the point upon the plane. EXAMPLE. If MN be a plane, and P a point outside... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...Cor. 3. — Two planes which are perpendicular to the same straight line are parallel to each other. 8. The projection of a point upon a plane is the foot of a perpendicular let fall from the point to the plane. The projection of a line contains the foot of every perpendicular which can be drawn... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...the plane. (574. If one of two parallels is perpendicular to a given plane, the other is also.) 579. The projection of a point upon a plane is the foot of the perpendicular drawn from the point to the plane. 225 These perpendiculars are all in the same plane,... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...the plane. (574. If one of two parallels is perpendicular to a given plane, the other is also.) 579. The projection of a point upon a plane is the foot of the perpendicular drawn from the point to the plane. These perpendiculars are all in the same plane,... | |
| |
The projection of a line upon a plane is the locus of the projections of all points of the line upou the plane. 
