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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 ... - Pàgina 1
per Charles William Hackley - 1847 - 103 pàgines
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A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - 1860 - 1020 pàgines
...two point? be taken, the straight line whii-h joins these points will be wholly in that surface. 2. A straight line is said to be perpendicular to a plane,...This point is called the foot of the perpendicular. 3. The inclination of a straight line to a plane, is the acute angle contained by the straight line,...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - 1862 - 116 pàgines
...given square. BOOK III. SOLID 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...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 288 pàgines
...shown that any other line, 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...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 pàgines
...two points be taken, the straight line which joins these points will be wholly in that surface. 2. A straight line is said to be perpendicular to a plane...This point is called the foot of the perpendicular. 3. The inclination of a straight line to a plane is the acute angle contained by the straight line...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1868 - 432 pàgines
...ihat any other line, 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...
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Elements of Descriptive Geometry: With Its Applications to Shades, Shadows ...

Francis Henney Smith - 1868 - 86 pàgines
...the construction of all geometrical figures, are considered as indefinite in extent. DEF. 4. A right line is said to be perpendicular to a plane, when it is perpendicular to all right lines drawn through its foot in that plane. DEF. 5. If a right line be perpendicular to a plane,...
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Solid geometry and conic sections

James Maurice Wilson - 1872 - 160 pàgines
...intersect is the angle formed by straight lines from any point respectively parallel to those lines. Def. 3. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line that meets it in that plane. It is also said to be normal to the plane. THEOREM...
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Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - 1873 - 288 pàgines
...shown that any other line, 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...
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Elements of Analytical Geometry, and of the Differential and Integral Calculus

Gerardus Beekman Docharty - 1865 - 328 pàgines
...the co-ordinates of every point of the plane. PEOPOSITION IX. (144.) To find the equation of a plane. A straight line is said to be perpendicular to a plane...pass through the point in which it meets the plane. Hence a plane may be generated by the motion of a straight line round a point in another straight line...
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Solid geometry and conic sections

James Maurice Wilson - 1873 - 178 pàgines
...any two points being taken, the straight line which joins them lies wholly in that surface. Def. 2. A straight line is said to be perpendicular to a plane when it is perpendicular to every straight line that meets it in that plane. It is also said to be normal to the plane. Def. 3....
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