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" A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane. "
A Course of Mathematics: In Two Volumes. For the Use of Academies, as Well ... - Page 306
by Charles Hutton - 1818
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Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Solid - 1900 - 160 pages
...as an axis, it can be brought to coincide with A A CP'. 57 339. Definitions. A line is said to be perpendicular to a plane when it is perpendicular to every line in that plane which passes through its foot, — ie the point where it meets the plane. The plane is then said to be perpendicular...
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Practical Plane and Solid Geometry for Elementary Students

Joseph Harrison - Geometry - 1903 - 300 pages
...operation again the student is acquiring useful knowledge ; he has discovered the important fact that a line is perpendicular to a plane, when it is perpendicular to two intersecting lines in the plane. The student thus finds out for himself that the inclination of...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 484 pages
...indefinite length, and the planes of infinite extent. EUCLID'S ELEMENTS. LINES AND PLANES. 1. A straight line is perpendicular to a plane when it is perpendicular to every straight line which meets it in that plane. NOTE. It will be proved in Proposition 4 that if a straight...
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The Elements of Solid Geometry

Charles Davison - Geometry, Solid - 1905 - 140 pages
...certain conditions when no other plane can be made to satisfy those conditions. DBF. 3. A straight line is perpendicular to a plane when it is perpendicular to every line which can be drawn to meet it in that plane. DBF. 4. A straight line is parallel to a plane when, if...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...Therefore the intersection of the two planes is the straight line AB. QED DEFINITIONS 519 A straight line is perpendicular to a plane when it is perpendicular to every straight line in the plane drawn through its foot, that is, the point in which it meets the plane;...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...Therefore the intersection of the two planes is the straight line AB. QED DEFINITIONS 519 A straight line is perpendicular to a plane when it is perpendicular to every straight line in the plane drawn through its foot, that is, the point in which it meets the plane ;...
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...line. 487. Exercise. What is the locus of points common to two planes ? 488. Definitions. A straight line is perpendicular to a plane when it is perpendicular to every straight line it meets in the plane. The plane is also perpendicular to the line. A straight line that...
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Descriptive Geometry: A Treatise from a Mathematical Standpoint, Together ...

Victor Tyson Wilson - Geometry, Descriptive - 1909 - 282 pages
...of the plane is the required distance. 61. Definitions; — From geometry we have by definition:— a line is perpendicular to a plane when it is perpendicular to every line in the plane through its foot; or, in other words, all of the perpendiculars to a straight line at a given...
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Descriptive Geometry: A Treatise from a Mathematical Standpoint, Together ...

Victor Tyson Wilson - Geometry, Descriptive - 1909 - 282 pages
...of the plane is the required distance. 61. Definitions;— From geometry we have by definition:—a line is perpendicular to a plane when it is perpendicular to every line in the plane through its foot; or, in other words, all of the perpendiculars to a straight line at a given...
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...525. The point in which a straight line meets a plane is called the foot of the line. 526. A straight line is perpendicular to a plane when it is perpendicular to every line in the plane drawn through its foot. 527. A straight line is parallel to a plane, or a plane is parallel...
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