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" The projection of a point on a plane is the foot of the perpendicular let fall from the point to the plane. "
Solid geometry and conic sections - Page 11
by James Maurice Wilson - 1872
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An elementary treatise on descriptive geometry, with a theory of shadows and ...

Gaspard Monge (comte de Péluse.), John Fry Heather - 1851 - 152 pages
...comparison, planes whose positions are easily imagined. 3. DEFINITION. — The projection of a point upon a plane is the foot of the perpendicular let fall from the point upon the plane. If then we have two planes whose positions in space are known, and on each of these...
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An Elementary Treatise on Descriptive Geometry...

John Fry Heather - Geometry, Descriptive - 1851 - 156 pages
...comparison, planes whose positions are easily imagined. 3. DEFINITION. — The projection of a point upon a plane is the foot of the perpendicular let fall from the point upon the plane. If then we have two planes whose positions in space are known, and on each of these...
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APPLETONS' CYCLOPAEDIA OF DRAWING

W.E. WORTHEN - 1857 - 600 pages
...space of a point, by referring it planes whose position is established. The projection of a point upon a plane is the foot of the perpendicular let fall from the point on the plane. If, therefore, on two planes not parallel to each other, whose positions are known, we...
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Appletons' Cyclopædia of Drawing: Designed as a Text-book for the Mechanic ...

William Ezra Worthen - Architectural drawing - 1857 - 632 pages
...space of a point, by referring it planes whose position is established. The projection of a point upon a plane is the foot of the perpendicular let fall from the point on the plane. If, therefore, on two planes not parallel to each other, whose positions are known, we...
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Treatise on Fortification, Or, Lectures Delivered to Officers Reading for ...

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...
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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 of projection;...
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Conic Sections, Treated Geometrically

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 on a plane, the curve...
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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...
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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...
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A Treatise on Analytical Geometry: With Applications to Lines and Surfaces ...

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...
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