| Auguste Frédéric Lendy - Technology & Engineering - 1862 - 562 pages
...step that must be taken is the representation of points. This is done by projections on planes. (66). The projection of a point on a plane is the foot of the perpendicular drawn from that point to the plane. Thus, if A be a given point in the space, and Fio. 94. 1*. MN any plane, the... | |
| Francis Henney Smith - Geometry, Descriptive - 1868 - 86 pages
...method of projections. Descriptive Geometry is, therefore, based upon the method of projections. 3. The projection of a point on a plane is the foot of the perpendicular let fall from this point on the plane. The plane on which the projection is made is called the plane... | |
| William Henry Besant - Conic sections - 1869 - 304 pages
...than that of the hyperbola, and less than that of the ellipse. CHAPTER VIII. PROJECTIONS. 164. DBF. The projection of a point on a plane is the foot of the perpendicular let fall from the point on the plane. If from all points of a given curve perpendiculars be let fall... | |
| John Stuart Jackson - Conic sections - 1872 - 208 pages
...Aa from some CONIC SECTIONS. 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... | |
| James Maurice Wilson - Conic sections - 1872 - 162 pages
...parallel to AP, AX : XR :: PQ : QR; therefore AB : BC :: PQ : QR\ THE LINE INCLINED TO THE PLANE. Def. 6. The projection of a point on a plane is the foot of the perpendicular let fall from the point to the plane. Def. 7. The projection of a line on a plane is the locus of the... | |
| James Maurice Wilson - 1873 - 178 pages
...called parallel planes. They are then said to have the same disposition in space. W. (2) I Def. 5. Th& projection of a point on a plane is the foot of the perpendicular let fall from the point to the plane. Def. 6. The projection of a line on a plane is the locus of the... | |
| William Guy Peck - Geometry, Analytic - 1875 - 226 pages
...the line. Thus, B, C, and D (Fig. 52), are the projections of the point P on the co-ordinate axes. The projection of a point on a plane, is the foot of a perpendicular from the point to the plane. Thus, Q, K, and S are the projections of the point P on... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...neither perpendicular nor 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... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...DEF. Two planes are parallel if all the points of either be equally distant from the other. 435. DEF. The Projection of a point on a plane is the foot of the perpendicular from the point to the plane. 436. DEF. The projection of a line on a plane is the locus of the projections... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...3. A straight line is parallel to a 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... | |
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