| Charles Davies, William Guy Peck - 1855 - 592 pagina’s
...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
...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 - 108 pagina’s
...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 - 1876 - 364 pagina’s
...(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 - 1879 - 266 pagina’s
...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 - 1882 - 196 pagina’s
...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
.... 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 - 1885
...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 - 1886 - 366 pagina’s
...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 - 1892
...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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