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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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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 480 pages
...is perpendicular to a plane, when it is perpendicular to every line in that plane which meets it 3. One plane is perpendicular to another, when every...their common section, is perpendicular to the other. 4. The inclination of one plane to another, or the angle they form between them, is the angle contained...
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Mechanics' Magazine, and Journal of the Mechanics' Institute, Volume 4

Industrial arts - 1835 - 398 pages
...AND SOLIDS. 1. The Common Section of two Planes is the line in which they meet or cut each other. 2. A Line is Perpendicular to a Plane, when it is perpendicular to every line in that plane which meets it. 3. One Plane is Perpendicular to another, when every line of the one which is perpendicular to the...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1841 - 235 pages
...same perimeter. PART SECOND. SECTION FIRST. Of Planes and Solid AnglesDEFINITIONS. 313. A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line in the plane which passes through the foot of the perpendicular (326). Reciprocally,...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1841 - 186 pages
...angle CAD is a right angle, the planes are perpendicular to each other. 317. Definitions. A straight line is perpendicular to a plane, when it is perpendicular 'to every straight line drawn through its foot in the plane. • Line Perpendicular to a Plane. Reciprocally,...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...DEFINITIONS. 1. THE common section of two planes, is the line in which they meet to cut each other. 2. A line is perpendicular to a plane when it is perpendicular to every line in that plane which meets it. 3. One plane is perpendicular to another, when every line of the one which is perpendicular to the...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 150 pages
...angle CAD is a right angle, the planes are perpendicular to each other. 317. Definitions. A straight line is perpendicular to a plane, when it is perpendicular to every straight line drawn through its foot in the plane. Line Perpendicular to a Plane. Reciprocally, the...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...SIXTHDEFINITIONS. 1. The common section of two planes is the line in which they meet to cut each other. 2. A line is perpendicular to a plane, when it is perpendicular to any two lines in that plane which meet it. 3. One plane is perpendicular to another, when every line...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...signifies circumference. SOLID GEOMETRY, BOOK VII. PLANES AND SOLID ANGLES. Definitions. 1. A STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane. The foot of the perpendicular, is the point in which it...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...DEFINITIONS. 1. THE intersection of two planes is the line in which they meet to cut each other. 2. A line is perpendicular to a plane, when it is perpendicular to all the lines in that plane which meet it. 3. One plane is perpendicular to another, when every line...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 236 pages
...three to 120 x 3=360. GEOMET R Y. BOOK V. OF PLANES AND THEIR ANGLES. DEFINITIONS. 1 . A straight line is perpendicular to a plane, when it is perpendicular to every straight line of the plane which it meets. The point -at which the perpendicular meets the plane, is...
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