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" The projection of a line upon a plane is the locus of the projections of all points of the line upou the plane. "
A course of geometrical drawing - Σελίδα 32
των William Schofield Binns - 1861
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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 σελίδες
...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...

An Elementary Treatise on Descriptive Geometry...

John Fry Heather - 1851 - 156 σελίδες
...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...

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 628 σελίδες
...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...

APPLETONS' CYCLOPAEDIA OF DRAWING

W.E. WORTHEN - 1857 - 600 σελίδες
...to represent the position in 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...

Appletons' Cyclopædia of Drawing: Designed as a Text-book for the Mechanic ...

William Ezra Worthen - 1857 - 650 σελίδες
...to represent the position in 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...

A graduated course of problems in practical plane and solid geometry

James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 σελίδες
...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...perpendicular let fall from the point upon the given plane. NOTE 2. — The line which projects a point upon a plane, is termed the projector of that point, eg,...

Elements of Geometry

Simon Newcomb - 1881 - 418 σελίδες
...point without the plane is a circle drawn around the foot of the perpendicular as a centre. 597. Def. The projection of a point upon a plane is the foot of the perpendicular dropped from the point upon the plane. EXAMPLE. If MN be a plane, and P a point outside...

The Eclectic School Geometry

Evan Wilhelm Evans - 1884 - 242 σελίδες
...Cor. 3. — Two planes which are perpendicular to the same straight line are parallel to each other. 8. The projection of a point upon a plane is the foot of a perpendicular let fall from the point to the plane. The projection of a line contains the foot of every perpendicular which can be drawn...

The Elements of Geometry

George Bruce Halsted - 1885 - 389 σελίδες
...the plane. (574. If one of two parallels is perpendicular to a given plane, the other is also.) 579. The projection of a point upon a plane is the foot of the perpendicular drawn from the point to the plane. 225 These perpendiculars are all in the same plane,...

The Elements of Geometry

George Bruce Halsted - 1886 - 394 σελίδες
...the plane. (574. If one of two parallels is perpendicular to a given plane, the other is also.) 579. The projection of a point upon a plane is the foot of the perpendicular drawn from the point to the plane. These perpendiculars are all in the same plane,...




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