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" DEFINITIONS. 1 . A straight line is perpendicular to a plane, when it is perpendicular to every straight line of the plane which it meets. "
An Elementary Geometry - Page 64
by William Frothingham Bradbury - 1872 - 110 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1863 - 464 pages
...construct a square whose area shall be exactly equal to that of the circle. BOOK VI. FLAKES AND POLYEDRAL ANGLES. DEFINITIONS. 1. A straight line is PERPENDICULAR TO A PLANE, when it is perpendicular to every line of the plane which passes through its FOOT ; that is, through the point in which it meets the...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...distinguished English mathematician. BOOK VII. PLANES. — DIEDRAL AND POLYEDRAL ANGLES. DEFINITIONS. 388. A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane. Conversely, the plane, in the same case, is perpendicular to the line....
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...GEOMETRY. SEC. XIII.— PLANES AND THEIR INCLINATIONS. DEFINITIONS. 1. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line it can meet in that plane. 2. The line in which two planes cut one another is called their INTERSECTION....
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1864 - 358 pages
...an*1 '1he sum of the three to 20° X 3 =360°GEOMETRYBOOK VOF PLANES AND THEIR ANGLESDEFINITIONS 1 - & straight line is perpendicular to a plane, when it...perpendicular to every straight line of the plane whid1 it meetsThe point at which the perpendicular meets the plane, is called ihefoot of the perpendicular2...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...perpendicular to AB at the point B, is in the plane of C, B, D, and E. 519. 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....
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...an'' the sum of the three to 20° x 3 = 360°GEOMETRY. BOOK VOF PLANES AND THEIR ANGLESDEFINITIONS 1 - A straight line is perpendicular to a plane, when it is per» pendicular to every straight line of the plane which it meetsThe point at which the perpendicular...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...distinguished English mathematician. BOOK VII. PLANES. — DIEDRAL AND P0LYEDRAL ANGLES. DEFINITIONS. 388. A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane. Conversely, the plane, in the same case, is perpendicular to the line....
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...surface such that a straight line connecting any two of its points will lie entirely in the surface. 2. A straight line is PERPENDICULAR TO A PLANE when it is perpendicular to any line of the plane passing through its foot. The foot is the point where the line meets the plane....
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 432 pages
...perpendicular to AB at the point B, is in the plp,ne of C, B, D, and E. 5 IS). 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....
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...English mathematician. BOOK VII. PLANES. — DIEDRAL AND P0LTEDRAL ANGLES. DEFINITI0NS. 388. A STBAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane. Conversely, the plane, in the same case, is perpendicular to the line....
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