 The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a figure upon a plane is the locus of the projections of all the points of the figure upon the plane. Thus, A'B' represents the projection...  The Elements of Geometry - Page 232by Walter Nelson Bush, John Bernard Clarke - 1905 - 355 pagesFull view - About this book
 | 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 of all its points. 10. The angle... | |
 | 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 of all its points. 438.... | |
 | 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... | |
 | Joseph Haythorne Edgar - Geometry, Descriptive - 1880 - 284 pages
...the 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,... | |
 | Joseph Haythorne Edgar - 1880 - 300 pages
...the 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,... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...line which pierces the plane (if sufficiently produced), but is not perpendicular to the plane. 464. The Projection of a Point on a plane is the foot, of the perpendicular from the point to the plane. PROPOSITION XI. 466. Theorem.—The projection of a straight line upon a plane is a straight line.... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...line. 5. A line is Oblique to a Plane when it is neither perpendicular nor parallel to the plane. 6. The Projection of a Point on a plane is the foot of the perpendicular from the point to the plane. E 7. The Projection of a Line on a plane is the straight line joining the projections of its extremities.... | |
 | James Maurice Wilson - Conic sections - 1885 - 180 pages
...called parallel planes. They are then said to have the same disposition in space. W. (2) I Def. 5. The 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... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...symmetrical triedral angle, and the corresponding plane angles would be equal, as before. NOTE 1. — The projection of a point on a plane is the foot of a perpendicular drawn from the point to the plane. EXERCISES. \ 1. Find a point in a plane equidistant... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...line.) THEOREM XV. 598. Equal obliques from a point to a plane meet the plane in a circle whose center is the foot of the perpendicular from the point to the plane. HYPOTHESIS. AB, AC, equal sects from A to the plane MN. AD _L plane MN. CONCLUSION. DB — DC. PROOF.... | |
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