 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...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 the projection is made upon... | |
 | Samuel H. Winter - 1861 - 172 pages
...Def. — The given planes are called the PLANES OF PROJECTION. 3. Def. — The PROJECTION OF A POINT is the foot of the perpendicular, drawn from the point to the plane of projection. 4. Def. — This perpendicular is called the PROJECTOR of the point. If A (Fig.... | |
 | John Stuart Jackson - 1872 - 208 pages
...CHAPTER I. On the Method of Projections. 1. DEFINITIONS. The Orthogonal projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane. The plane on which the projection is made is called the plane of projection. The orthogonal... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...(14-4, 8). 3. Equivalent surfaces are those whose areas are equal. 4. The projection of a point upon a line is the foot of the perpendicular drawn from the point to the line. If the point is on the line, it is its own projection. 5. The projection of a finite straight line... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...plane when, being produced ever so far, it does not meet it. 4. The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane. 5. The projection of a line on a plane is the line formed by the projection of all its points.... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...ELEMENTS OF PLANE GEOMETRY. PROJECTION. DEFINITIONS. 258. The Projection of a Point upon an indefinite straight line is the foot of the perpendicular drawn from the point to the line. Thus, the projection of the point C upon the line AB is the point E. C E The Protection of n Finite... | |
 | Euclides - 1884 - 434 pages
.... BH' = AH'2, AB in this case also may be said to be divided in medial section. 7. The projection t of a point on a straight line is the foot of the perpendicular drawn from the point to the straight line. , B. _0 D Thus D is the projection of A on the straight line BC. 8. The projection of... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...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, since any two are parallel, and any third... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...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, since any two are parallel, and any third is... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...P, Q are their projections on OX ; and R, S are their projections on OY ; show that PR a QS. TE' — The projection of a point on a straight line is the...the perpendicular drawn from the point to the line. CHAPTER II. PROBLEMS. § 39. Problems which follow directly from known propositions. 1. Divide a given... | |
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The projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane. 
