 | 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 in space are known,... | |
 | 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 in space are known,... | |
 | 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 of the point. If... | |
 | 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 each other, whose... | |
 | 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 each other, whose... | |
 | William Schofield Binns - 1861 - 238 pages
...horizontal plane. Let at be a point in space whose projections upon AB, B c are •a." required. 8. The projection of a point upon a plane is the foot of a perpendicular let fall from the point upon the given plane. From a, therefore, draw a a', a a', respectively... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...straight lines from a point to a plane meet the plane in the circumference of a circle whose centre is the foot of the perpendicular from the point to the plane. Hence we derive a method of drawing a perpendicular from a given point A to a given plane MN: find... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...straight lines from a point to a plane meet the plane in the circumference of a circle whose centre is the foot of the perpendicular from the point to the plane. Hence we derive a method of drawing a perpendicular from a given point A to a given plane MN: find... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...parallel to the plane. In this case, the plane is oblique to the line. 8. The projection of a point on a plane is the foot of the perpendicular from the point to the plane. 9. The projection of a line on a plane is the locus of the projections of all its points. 10. The angle... | |
 | 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 of a perpendicular let fall from the point upon the given plane. NOTE 2. — The line which projects a... | |
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The projection of a point upon a plane is the foot of the perpendicular from the point to the plane. 
