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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. "
The Essentials of Geometry - Page 261
by Webster Wells - 1899 - 395 pages
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...general, 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 the vertical...
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Elementary Geometrical Drawing. Part I. ...

Samuel H. Winter - 1861 - 172 pages
...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. 1) be...
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A course of geometrical drawing

William Schofield Binns - 1861 - 238 pages
...the plan, or projection of op upon the horizontal plane. Again, the projection of p upon the vertical plane, is the foot of the perpendicular drawn from the point to that plane. Lety be its projection. In the same manner we obtain o', the projection of o. Join o' p'...
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Treatise on Fortification, Or, Lectures Delivered to Officers Reading for ...

Auguste Frédéric Lendy - Technology & Engineering - 1862 - 562 pages
...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...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...a point out of it, the center of the circle whose circumference passes through these points will be the foot of the perpendicular drawn from the point to the plane. ••M THEOREM V. The line which joins any point of a perpendicular to a plane, with the point in...
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Elements of Descriptive Geometry: With Its Applications to Shades, Shadows ...

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...
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Conic Sections, Treated Geometrically

William Henry Besant - Conic sections - 1869 - 304 pages
...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...
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1869 - 276 pages
...a point out of it, the center of the circle whose circumference passes through these points will be the foot of the perpendicular drawn from the point to the plane. THEOREM V. The line which joins any point of a perpendicular to a plane, with the point in which a...
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The essentials of geometry, plane and solid, as taught in French and German ...

John Reynell Morell - Geometry - 1871 - 156 pages
...parallel to this plane : accordingly all these straight lines will be in one and the same plane. 126. The projection of a point on a plane, is the foot of the perpendicular drawn from the same point on to the plane'. (t ig. 1(W, b-) 1 Fig. 103 (a). Fig. 103 (b). § XXX. Dihedral angles....
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Geometrical conic sections

John Stuart Jackson - 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 orthogonal projection...
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