 | James Maurice Wilson - 1872 - 160 pages
...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... | |
 | André Darré - 1872 - 226 pages
...from a point outside the plane, the foot of the perpendicular is called the projection of the point on the plane. The projection of a line on a plane is the line formed by projecting all the points of the line on the plane. THEOREM. The projection of a straight... | |
 | L J V. Gerard - 1874 - 428 pages
...perpendicular on that line, or its middle perpendicular. 19. The projection of a point on a straight line is the foot of the perpendicular drawn from the point to the line. The projection of a straight line on another is the distance between tb-e projections of its... | |
 | 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
...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
...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 all its points. If the... | |
 | Joseph Haythorne Edgar - 1880 - 300 pages
...leading results of which find expression in the subjoined theorems. PRELIMINARY DEFINITIONS. i. The projection of a point on a plane is the foot of the perpendicular let fall from the point to the plane. 2. 1\& projection of a line (straight, curved, or broken), figure,... | |
 | Joseph Haythorne Edgar - Geometry, Descriptive - 1880 - 284 pages
...leading results of which find expression in the subjoined theorems. PRELIMINARY DEFINITIONS. 1. The projection of a point on a plane is the foot of the perpendicular let fall from the point to the plane. 2. The projection of a line (straight, curved, or broken), figure,... | |
 | Charles Scott Venable - 1881 - 380 pages
...called the projecting line of the point, and the plane pr — is called the plane of projection. \ 7. The projection of a line on a plane is the line which contains the feet of the perpendiculars let fall from all the points of the line on the plane. PROPOSITION I. THEOREM.... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...GEOMETRY. PEOJECTION. 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 С upon the line AB is the point E. С E F The Projection of... | |
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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. 
