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" A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line which passes through its foot in that plane, and the plane is said to be perpendicular to the line. "
Elementary Course of Geometry ... - Pągina 1
per Charles William Hackley - 1847 - 103 pągines
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Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - 1904 - 322 pągines
...(by 43) APCD .-.PD=P'D; .'.(by 58) APBD=AP'DB. .-. 4PBD^4P'BD; .\BP±BD. 334. Definition. A straight is said to be perpendicular to a plane when it is perpendicular to every straight in that plane which passes through its foot, — that is, the point it has in common...
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Rational Geometry: A Text-book for the Science of Space; Based on Hilbert's ...

George Bruce Halsted - 1904 - 324 pągines
...&PCD=AP'CD. :.PD=P'D; .'.(by 58) &PBD=&P'DB. :. 4PBD=4P'BD; .-.BPJ-BD. 334. Definition. A straight is said to be perpendicular to a plane when it is perpendicular to every straight in that plane which passes through its joot, — that is, the point it has in common...
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A Course in Practical Mathematics

Frank Moulton Saxelby - 1905 - 460 pągines
...the lengths of the traces we have 192. Measurement of Angles between Straight Lines and Planes. — A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line in that plane. 323 lines drawn one in each plane perpendicular to the line of intersection...
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New Plane and Solid Geometry

Webster Wells - 1908 - 336 pągines
...349. Defs. If a straight line meets a plane, the point of intersection is called the foot of the line. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line drawn in the plane through its foot. A straight line is said to be parallel to...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 pągines
...room are parallel planes ; the flat top of a table standing in a room is parallel to the floor, etc. (3) A straight line is said to be perpendicular to a plane if it is perpendicular to every line in the plane which meets it. (See Fig. 517.) A straight line perpendicular...
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Key to the Exercises in Wells's New Geometry

Webster Wells - 1909 - 154 pągines
...a transversal, the alternateinterior angles are equal.) § 75. 6. Z EPX and Z XQH are right angles. (A straight line is said to be perpendicular to a plane, when it is perpendicular to every straight .line drawn in the plane through its foot.) § 349. 7. Hence, A EPX = A XQH. §90. 8....
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Solid Geometry

Charles Austin Hobbs - 1921 - 216 pągines
...two intersecting lines are perpendicular or oblique to each other. RELATIONS OF LINES AND PLANES A line is said to be perpendicular to a plane when it is perpendicular to every line in the plane drawn through its foot; at the same time the plane is said to be perpendicular...
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Plane Geometry

Walter Burton Ford, Charles Ammermann - 1923 - 406 pągines
...Plane. The point where a line in space intersects a plane is called the foot of the line on that plane. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line that can be drawn in the plane through its foot. Fio. 178 (a) FIG. 178 (ft) Thus,...
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