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" The projection of a point on a plane is the foot of the perpendicular from the point to the plane. "
The Elements of Solid Geometry - Page 26
by Charles Davison - 1905 - 122 pages
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...4. .'. A Y'O'A', Y'O'B' are also rt. A- Prel. th. 1 5. .'. O'Y' _L M N. Def. _L plane DEFINITIONS. The projection of a point on a plane is the foot of the perpendicular through that point to the plane. The projection of a line on a plane is the locus of the projections...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...5 . 4. .'. A Y'O'A', Y'O'B' are also rt. A. Prel. th. 1 5. .'. 0'Y'_LMN. Def. _L plane DEFINITIONS. The projection of a point on a plane is the foot of the perpendicular through that point to the plane. The projection of a line on a plane is the locus of the projections...
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Elements of Geometry

George Cunningham Edwards - Geometry - 1895 - 330 pages
...point equally distant from all points of the circumference of a circle. FIG. 243. 109. The orthographic projection of a point on a plane is the foot of the perpendicular to the plane. There may also be oblique projections. In fact, anystraight line through the point, and...
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A Drill-book in Trigonometry

George William Jones - Trigonometry - 1896 - 216 pages
...so for the diameters. §3. PROJECTIONS. The projection of a point on a line was defined on page 31. The projection of a point on a plane is the foot of the perpendicular from the point to the plane. The projection of a directed line on a plane is the co-line of the given plane and ;i plane perpendicular...
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The Elements of Geometry

Henry W. Keigwin - Geometry - 1897 - 254 pages
...a given plane. When will there be more than one plane perpendicular to the given plane? 419. DEFS. The projection of a point on a plane is the foot of the normal from the point to the plane. The projection of a line or curve on a plane is the locus of the...
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Theoretical and Practical Graphics: An Educational Course on the Theory and ...

Frederick Newton Willson - Geometry, Descriptive - 1898 - 322 pages
...given whenever their truth is reasonably self-evident. FUNDAMENTAL PRINCIPLES. 284. The orthographic projection of a point on a plane is the foot of the perpendicular from the point to the plane. FI&- ise. In Fig. 156 the perpendiculars Pp' and Pp give the projections, p' and p, of the point P....
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...are said to be parallel to each other when they cannot meet, however far they may be produced. 329. The projection of a, point on a plane is the foot of the perpendicular let fall from the point to the plane. 330. The projection of a line on a plane is the locus of the...
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Plane and Solid Geometry: Inductive Method

Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...to a plane if it cannot meet it however far produced. The plane is said to be II to the line. 395. The projection of a point on a plane is the foot of the ± from the point to the plane. Illustrate with your pencil and desk. 396. The projection of a line...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...not perpendicular to the plane MN. Hence, through AB only one plane can be passed _L to MN. 561. DBF. The projection of a point on a plane is the foot of the perpendicular from the point to the plane. 562. DBF. The projection of a line on a 278 DIHEDRAL ANGLES. PROPOSITION XXIII. THEOREM. 563. The projection...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...not perpendicular to the plane MN. Hence, through AB only one plane can be passed -L to MN. 561. DBF. The projection of a point on a plane is the foot of the perpendicular from the point to the plane. 562. DBF. The projection of a line on a 278 DIHEDRAL ANGLES. PROPOSITION XXIII. THEOREM. 563. The projection...
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