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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 - Page 32
by William Schofield Binns - 1861
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Text-book on Practical Solid Or Descriptive Geometry, Part 1

David Allan Low - Geometry, Descriptive - 1887 - 148 pages
...word ' projection ' is nsed without any qualification, orthographic projection is to be understood. The Projection of a Point upon a plane is the foot of the perpendicular let fall from the point on the plane. The Projection of a Line upon a plane is the...
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Appletons' Cyclopædia of Technical Drawing: Embracing the Principles of ...

William Ezra Worthen - Architectural drawing - 1892 - 850 pages
...represent the position in space of a point, by referring it to 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...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...the first plane, since both contain the intersecting lines AB and BB'. § 526 III QED 582. Def. — The projection of a point upon a plane is the foot of the perpendicular drawn from the point to the plane. Thus A' is the projection of the point A upon...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...the first plane, since both contain the intersecting lines AB and BB'. § 526 III QED 582. Def. — The projection of a point upon a plane is the foot of the perpendicular drawn from the point to the plane. Thus A' is the projection of the point A upon...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...less than PQ. Hence P is not equidistant from L and M. Therefore the locus . • • DEFINITIONS 445. The projection of a point upon a plane is the foot of the perpendicular drawn from the point to the plane. The projection of a line upon a plane is the locus...
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Solid Geometry

Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...Z E-AB-D at the point A. Then PR || AE, and PQ || AC (Art. 121.) .'. /.RPQ = /.EAC (Art. 538). 550. The projection of a point upon a plane is the foot of a perpendicular drawn from the point to the plane. 551. The projection of a line upon a plane is the locus of the projections...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...Z E-AB-D at the point A, Then PR \\ AE, and PQ \\ AC (Art. 121.) .'. Z.RPQ = /.EAC (Art. 538). 550. The projection of a point upon a plane is the foot of a perpendicular drawn from the point to the plane. 551. The projection of a line upon a plane is the locus of the projections...
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Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 324 pages
...the same st' ||? Ex. 419. A plane || to the meet of two planes meets them in ||s. 354. Definition. The projection of a point upon a plane is the foot of the perpendicular from the point to the plane. The projection of a straight upon a plane is the assemblage...
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Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - Geometry - 1904 - 322 pages
...the same st' ||? Ex. 419. A plane || to the meet of two planes meets them in ||s. 354. Definition. The projection of a point upon a plane is the foot of the perpendicular from the point to the plane. The projection of a straight upon a plane is the assemblage...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...to the hypothesis. § 567 .-. through AB only one plane can be passed _L to MN. QED 572 DEFINITION. The projection of a point upon a plane is the foot of the perpendicular drawn from the point to the plane. 573 DEFINITION. The projection of a line upon...
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