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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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The Elements of Solid Geometry

William C. Bartol - Geometry, Solid - 1893 - 106 pages
...plane is the point where the line pierces the plane. This point is called the foot of the line. 4. A line is perpendicular to a plane when it is perpendicular to every line of the plane, passing through its foot. And the plane is then perpendicular to the line. 5. Planes...
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The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - Geometry, Solid - 1893 - 152 pages
...selecting three points, two in one of the given lines and the third in the other line. f 6. A straight line is perpendicular to a plane when it is perpendicular to every straight line of the plane which passes through its foot, that is, the point where it meets the plane....
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...intersection of the two planes. PERPENDICULARS AND OBLIQUE LINES TO PLANES. 6. Definition. A straight line is perpendicular to a plane when it is perpendicular to every straight line drawn in the plane through its foot; that is, through the point in which it meets the...
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...planes ? 341. The point in which a straight line intersects a plane is called the foot of the line. 342. A line is perpendicular to a plane when it is perpendicular to every line in the plane drawn through its foot. PROPOSITION IV. THEOREM. 343. From a given point without a plane,...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...contact, form an equilateral triangle whose side is 18 inches. Find the diameter of the circle. 405. A line is perpendicular to a plane when it is perpendicular to any line in the plane drawn through its foot. (a) The plane is then perpendicular to the line. 406....
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...*= A BOP'. I, th. 12 6. .'. /_ POB is a rt. /_, and w _L y. Why ? 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, that is the point where it meets the plane. The plane is then said to be perpendicular...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...BOP ^ A BOP'. I, th. 12 6. .'. Z. POB is a rt. Z, and w _L y. Why ? 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, that is the point where it meets the plane. The plane is then said to be perpendicular...
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Elements of Geometry

George Washington Hull - Geometry - 1897 - 408 pages
...determined by given lines or points when one plane, and only one, can be drawn through them. 369. A straight line is Perpendicular to a Plane when it is perpendicular to every straight line of the plane passing through its foot. 370. A straight line is Parallel to a Plane when...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...other line, the first two giving the required line and the third the required point. 326. A straight line is perpendicular to a plane when it is perpendicular to every straight line of the plane which passes through its foot, that is, the point where it meets the plane....
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Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1903 - 154 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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