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" The projection of a point upon a plane is the foot of the perpendicular from the point to the plane. "
APPLETONS' CYCLOPAEDIA OF DRAWING - Seite 80
von W.E. WORTHEN - 1857
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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 Seiten
...selecting for the objects of 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 - 1851 - 156 Seiten
...selecting for the objects of 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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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 628 Seiten
...projections, two of which are, in 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...
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Appletons' Cyclopædia of Drawing: Designed as a Text-book for the Mechanic ...

William Ezra Worthen - 1857 - 632 Seiten
...fig. is used as a centre for three arcs, II, cm, dn. GEOMETRICAL I'KuJLUlK'N. GEOMETEICAL PROJECTION. ARCHITECTURAL and mechanical drawing is generally...perpendiculars from each plane at the projected points : then* intersection will be the point. If from every point of an indefinite straight line AB (fig....
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A course of geometrical drawing

William Schofield Binns - 1861 - 238 Seiten
...horizontal plane. Let at be a point in space whose projections upon AB, B c are •a." required. 8. The projection of a point upon a plane is the foot of a perpendicular let fall from the point upon the given plane. From a, therefore, draw a a', a a', respectively...
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Conic Sections, Treated Geometrically

William Henry Besant - 1869 - 304 Seiten
...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 formed by the feet...
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The Journal of the Royal Agricultural Society of England

The Journal of the Royal Agricultural Society of England - 1870 - 796 Seiten
...of a stream) and a line (on this side of the stream) marked out by two pickets ; how would you find the foot of the perpendicular let fall from the point on the line, if you had nothing but a measuring tape and pickets? 6. Plot the following notes, and determine...
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Journal of the Royal Agricultural Society of England

Royal Agricultural Society of England - 1870 - 750 Seiten
...of a stream) and a line (on this side of the stream) marked out by two pickets ; how would you find the foot of the perpendicular let fall from the point on the line, if you had nothing but a measuring tape and pickets ? 6. Plot the following notes, and determine...
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Solid geometry and conic sections

James Maurice Wilson - 1872 - 160 Seiten
...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 feet of the perpendiculars...
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A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 Seiten
...the perpendiculars meet the given planes, are the projections of the point A in space. NOTE 1. — The projection of a point upon a plane is the foot of a perpendicular let fall from the point upon the given plane. NOTE 2. — The line which projects a...
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